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Cryptographic Credentials with Privacy-preserving Biometric BindingsBissessar, David 22 January 2013 (has links)
Cryptographic credentials allow user authorizations to be granted and verified. and have such applications as e-Passports, e-Commerce, and electronic cash. This thesis proposes a privacy protecting approach of binding biometrically derived keys to cryptographic credentials to prevent unauthorized lending. Our approach builds on the 2011 work of Adams, offering additional benefits of privacy protection of biometric information, generality on biometric modalities, and performance. Our protocol integrates into Brands’ Digital Credential scheme, and the Anonymous Credentials scheme of Camenisch and Lysyanskaya. We describe a detailed integration with the Digital Credential Scheme and sketch the integration into the Anonymous Credentials scheme. Security proofs for non-transferability, correctness of ownership, and unlinkability are provided for the protocol’s instantiation into Digital Credentials.
Our approach uses specialized biometric devices in both the issue and show protocols. These devices are configured with our proposed primitive, the fuzzy ex-tractor indistinguishability adaptor which uses a traditional fuzzy extractor to create and regenerate cryptographic keys from biometric data and IND-CCA2 secure en-cryption protect the generated public data against multiplicity attacks. Pedersen commitments are used to hold the key at issue and show time, and A zero-knowledge proof of knowledge is used to ensure correspondence of key created at issue-time and regenerated at show-time. The above is done in a manner which preserves biometric privacy, as and delivers non-transferability of digital credentials.
The biometric itself is not stored or divulged to any of the parties involved in the protocol. Privacy protection in multiple enrollments scenarios is achieved by the fuzzy extractor indistinguishability adapter. The zero knowledge proof of knowledge is used in the showing protocol to prove knowledge of values without divulging them.
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Cryptographic Credentials with Privacy-preserving Biometric BindingsBissessar, David 22 January 2013 (has links)
Cryptographic credentials allow user authorizations to be granted and verified. and have such applications as e-Passports, e-Commerce, and electronic cash. This thesis proposes a privacy protecting approach of binding biometrically derived keys to cryptographic credentials to prevent unauthorized lending. Our approach builds on the 2011 work of Adams, offering additional benefits of privacy protection of biometric information, generality on biometric modalities, and performance. Our protocol integrates into Brands’ Digital Credential scheme, and the Anonymous Credentials scheme of Camenisch and Lysyanskaya. We describe a detailed integration with the Digital Credential Scheme and sketch the integration into the Anonymous Credentials scheme. Security proofs for non-transferability, correctness of ownership, and unlinkability are provided for the protocol’s instantiation into Digital Credentials.
Our approach uses specialized biometric devices in both the issue and show protocols. These devices are configured with our proposed primitive, the fuzzy ex-tractor indistinguishability adaptor which uses a traditional fuzzy extractor to create and regenerate cryptographic keys from biometric data and IND-CCA2 secure en-cryption protect the generated public data against multiplicity attacks. Pedersen commitments are used to hold the key at issue and show time, and A zero-knowledge proof of knowledge is used to ensure correspondence of key created at issue-time and regenerated at show-time. The above is done in a manner which preserves biometric privacy, as and delivers non-transferability of digital credentials.
The biometric itself is not stored or divulged to any of the parties involved in the protocol. Privacy protection in multiple enrollments scenarios is achieved by the fuzzy extractor indistinguishability adapter. The zero knowledge proof of knowledge is used in the showing protocol to prove knowledge of values without divulging them.
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Cryptographic Credentials with Privacy-preserving Biometric BindingsBissessar, David January 2013 (has links)
Cryptographic credentials allow user authorizations to be granted and verified. and have such applications as e-Passports, e-Commerce, and electronic cash. This thesis proposes a privacy protecting approach of binding biometrically derived keys to cryptographic credentials to prevent unauthorized lending. Our approach builds on the 2011 work of Adams, offering additional benefits of privacy protection of biometric information, generality on biometric modalities, and performance. Our protocol integrates into Brands’ Digital Credential scheme, and the Anonymous Credentials scheme of Camenisch and Lysyanskaya. We describe a detailed integration with the Digital Credential Scheme and sketch the integration into the Anonymous Credentials scheme. Security proofs for non-transferability, correctness of ownership, and unlinkability are provided for the protocol’s instantiation into Digital Credentials.
Our approach uses specialized biometric devices in both the issue and show protocols. These devices are configured with our proposed primitive, the fuzzy ex-tractor indistinguishability adaptor which uses a traditional fuzzy extractor to create and regenerate cryptographic keys from biometric data and IND-CCA2 secure en-cryption protect the generated public data against multiplicity attacks. Pedersen commitments are used to hold the key at issue and show time, and A zero-knowledge proof of knowledge is used to ensure correspondence of key created at issue-time and regenerated at show-time. The above is done in a manner which preserves biometric privacy, as and delivers non-transferability of digital credentials.
The biometric itself is not stored or divulged to any of the parties involved in the protocol. Privacy protection in multiple enrollments scenarios is achieved by the fuzzy extractor indistinguishability adapter. The zero knowledge proof of knowledge is used in the showing protocol to prove knowledge of values without divulging them.
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Remote Integrity Checking using Multiple PUF based Component IdentifiersMandadi, Harsha 14 June 2017 (has links)
Modern Printed Circuit Boards (PCB) contain sophisticated and valuable electronic components, and this makes them a prime target for counterfeiting. In this thesis, we consider a method to test if a PCB is genuine. One high-level solution is to use a secret identifier of the board, together with a cryptographic authentication protocol. We describe a mechanism that authenticates all major components of PCB as part of attesting the PCB. Our authentication protocol constructs the fingerprint of PCB by extracting hardware fingerprint from the components on PCB and cryptographically combining the fingerprints. Fingerprints from each component on PCB are developed using Physical Unclonable Functions (PUF).
In this thesis, we present a PUF based authentication protocol for remote integrity checking using multiple PUF component level identifiers. We address the design on 3 different abstraction levels. 1)Hardware Level, 2)Hardware Integration level, 3)Protocol level. On the hardware level, we propose an approach to develop PUF from flash memory component on the device. At the hardware Integration level, we discuss a hardware solution for implementing a trustworthy PUF based authentication. We present a prototype of the PUF based authentication protocol on an FPGA board via network sockets. / Master of Science
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Vinhaça concentrada de cana-de-açúcar: monitoramento das propriedades químicas do solo e mineralização líquida de nitrogênio / Concentrated vinasse from sugarcane: monitoring of soil chemical properties and net nitrogen mineralizationSilva, Alinne da 16 July 2012 (has links)
A geração de grande quantidade de vinhaça resultante da produção de etanol induziu questionamentos a respeito de sua disposição e possível armazenamento. No Estado de São Paulo, a norma P4.231 da CETESB restringiu a aplicação de vinhaça em muitos solos, resultando na necessidade de distribuí-la em áreas distantes da usina. Porém, devido a grande quantidade de água no resíduo, o transporte torna-se inviável do ponto de vista econômico. Uma alternativa para diminuir os custos de transporte é reduzir o volume por evaporação, originando a vinhaça concentrada (VC). No entanto, as temperaturas altas durante o processo de concentração provocam modificações na matéria orgânica, consequentemente, alterando a dinâmica das transformações do N no solo e, considerando ainda que a sua aplicação é realizada na linha de plantio, diferentemente da vinhaça não concentrada (VNC) que é aplicada em área total, pouco se conhece sobre os efeitos no solo e a sua eficiência agronômica. Com o objetivo de (1) conhecer algumas propriedades físico-químicas da VC e compará-la com a VNC, (2) avaliar os efeitos das doses de VC na fertilidade do solo, percolação de íons, produtividade de soqueira de cana-de-açúcar e qualidade tecnológica dos colmos e (3) determinar a mineralização líquida do N (Nm) foram: (I) coletadas amostras de VC e VNC em duas usinas entre os anos de 2010 e 2011, (II) realizado um experimento na cidade de Batatais, SP, em uma área comercial de cana-de-açúcar, (III) conduzido um experimento de incubação aeróbia com os objetivos de determinar o Nm e, através do ajuste a equação de primeira ordem, determinar a mineralização potencial do N (N0), a constante de mineralização do N (k) e (4) parametrizar o módulo SoilN do modelo APSIM para solo que recebeu aplicação de vinhaça. Verificou-se que o processo de concentração da vinhaça promove grande variação no teor de alguns elementos, especialmente o Na+ e as formas de nitrogênio amoniacal e nítrica. A aplicação de 30 m3 ha-1 de VC na linha da cana promoveu aumento nas concentrações de Cl-, NO3 -, Ca+2, Mg+2 e SO4 -2 nas soluções coletadas pelos extratores a 0,80 m de profundidade. De maneira geral foi observado aumento do pH, CTC e dos teores dos cátions trocáveis em função das doses, ao mesmo tempo que os valores de m% decresceram, resultando dessa forma em maior disponibilidade de nutrientes, aumento da fertilidade do solo e consequentemente aumento de produtividade, pois os tratamentos com VC promoveram ganhos de 8 Mg ha-1 em relação ao tratamento controle e, mesmo pela grande quantidade de K+ concentrado na linha de plantio as características tecnológicas dos colmos não foram prejudicadas. Com base nos valores de Nm, N0 e k, pode-se concluir que ocorreu imobilização do N mineral pela biomassa microbiana nos tratamentos com VC. O módulo SoilN do APSIM apresentou bom desempenho em simular a produção de NO3 -, pois a nitrificação calculada diariamente a partir do modelo se ajustou adequadamente aos valores de nitrato observados nas incubações; o modelo foi bem sucedido em calcular as perdas de N no tratamento com a maior dose de VNC a partir dos valores da curva de retenção e do volume de água aplicada no solo. / In São Paulo State, the legislation from CETESB restricts the application of vinasse in many soils, resulting in the need to distribute it in areas distant from the mill. However, due to the large amount of waste water, the transport becomes unfeasible economically. An alternative is to reduce the volume by evaporation, resulting in the concentrated vinasse (CV). But, high temperatures during the evaporation cause changes in the organic matter. So, considering that its application is in the row of sugarcane, unlike the not concentrated vinasse (NCV) which is applied in the total area, the objectives were (1) study some physicochemical properties of the CV and compare it with NCV, (2) evaluate the effects of CV in soil fertility, ions percolation, productivity, and technological quality of stems and (3) evaluate the net N mineralization (Nm). (I) Samples of CV and NCV were collected at two sugarcane mills in 2010 and 2011, (II) an experiment was conducted in São Paulo, in a commercial sugarcane area, (III) an aerobic incubation was conducted to determine Nm, potential N mineralization (N0), rate of N mineralization (k) and (IV) parameterize SoilN APSIM model for soil with vinasse application. It was found that the evaporation of the vinasse leads to greater variation in the concentration of some elements, especially Na+ and ammoniacal and nitrate nitrogen. 30 m3 ha-1 of CV applied in the sugarcane line caused high concentration of Cl-, NO3 -, Ca +2, Mg+2 and SO4 -2 in the soil solutions collected at 0.80 m. There were increase in pH, CEC and the content of the cations, while the values of m% decreased, resulting in availability of nutrient, increasing the soil fertility and productivity. CV promoted gains of 8 Mg ha-1 compared to control and, even the large amount of K+ concentrated in the sugarcane line, the technological characteristics of the stems were not impaired. Based on the values of Nm, k and N0, we can conclude that the mineral N was immobilized by microbial biomass in CV treatments. The APSIM showed good performance to simulate NO3 - production. The nitrification calculated daily from the model was successful to fit to the values observed. The model was successful to calculate N losses in treatment with the highest dose of NCV.
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Shoulder Keypoint-Detection from Object DetectionKapoor, Prince 22 August 2018 (has links)
This thesis presents detailed observation of different Convolutional Neural Network
(CNN) architecture which had assisted Computer Vision researchers to achieve state-of-the-art performance on classification, detection, segmentation and much more to
name image analysis challenges. Due to the advent of deep learning, CNN had
been used in almost all the computer vision applications and that is why there is
utter need to understand the miniature details of these feature extractors and find
out their pros and cons of each feature extractor meticulously. In order to perform
our experimentation, we decided to explore an object detection task using a particular
model architecture which maintains a sweet spot between computational cost and
accuracy. The model architecture which we had used is LSTM-Decoder. The
model had been experimented with different CNN feature extractor and found their
pros and cons in variant scenarios. The results which we had obtained on different
datasets elucidates that CNN plays a major role in obtaining higher accuracy and
we had also achieved a comparable state-of-the-art accuracy on Pedestrian Detection
Dataset.
In extension to object detection, we also implemented two different model architectures which find shoulder keypoints. So, One of our idea can be explicated as
follows: using the detected annotation from object detection, a small cropped image
is generated which would be feed into a small cascade network which was trained
for detection of shoulder keypoints. The second strategy is to use the same object detection model and fine tune their weights to predict shoulder keypoints. Currently,
we had generated our results for shoulder keypoint detection. However, this idea
could be extended to full-body pose Estimation by modifying the cascaded network
for pose estimation purpose and this had become an important topic of discussion
for the future work of this thesis.
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Vinhaça concentrada de cana-de-açúcar: monitoramento das propriedades químicas do solo e mineralização líquida de nitrogênio / Concentrated vinasse from sugarcane: monitoring of soil chemical properties and net nitrogen mineralizationAlinne da Silva 16 July 2012 (has links)
A geração de grande quantidade de vinhaça resultante da produção de etanol induziu questionamentos a respeito de sua disposição e possível armazenamento. No Estado de São Paulo, a norma P4.231 da CETESB restringiu a aplicação de vinhaça em muitos solos, resultando na necessidade de distribuí-la em áreas distantes da usina. Porém, devido a grande quantidade de água no resíduo, o transporte torna-se inviável do ponto de vista econômico. Uma alternativa para diminuir os custos de transporte é reduzir o volume por evaporação, originando a vinhaça concentrada (VC). No entanto, as temperaturas altas durante o processo de concentração provocam modificações na matéria orgânica, consequentemente, alterando a dinâmica das transformações do N no solo e, considerando ainda que a sua aplicação é realizada na linha de plantio, diferentemente da vinhaça não concentrada (VNC) que é aplicada em área total, pouco se conhece sobre os efeitos no solo e a sua eficiência agronômica. Com o objetivo de (1) conhecer algumas propriedades físico-químicas da VC e compará-la com a VNC, (2) avaliar os efeitos das doses de VC na fertilidade do solo, percolação de íons, produtividade de soqueira de cana-de-açúcar e qualidade tecnológica dos colmos e (3) determinar a mineralização líquida do N (Nm) foram: (I) coletadas amostras de VC e VNC em duas usinas entre os anos de 2010 e 2011, (II) realizado um experimento na cidade de Batatais, SP, em uma área comercial de cana-de-açúcar, (III) conduzido um experimento de incubação aeróbia com os objetivos de determinar o Nm e, através do ajuste a equação de primeira ordem, determinar a mineralização potencial do N (N0), a constante de mineralização do N (k) e (4) parametrizar o módulo SoilN do modelo APSIM para solo que recebeu aplicação de vinhaça. Verificou-se que o processo de concentração da vinhaça promove grande variação no teor de alguns elementos, especialmente o Na+ e as formas de nitrogênio amoniacal e nítrica. A aplicação de 30 m3 ha-1 de VC na linha da cana promoveu aumento nas concentrações de Cl-, NO3 -, Ca+2, Mg+2 e SO4 -2 nas soluções coletadas pelos extratores a 0,80 m de profundidade. De maneira geral foi observado aumento do pH, CTC e dos teores dos cátions trocáveis em função das doses, ao mesmo tempo que os valores de m% decresceram, resultando dessa forma em maior disponibilidade de nutrientes, aumento da fertilidade do solo e consequentemente aumento de produtividade, pois os tratamentos com VC promoveram ganhos de 8 Mg ha-1 em relação ao tratamento controle e, mesmo pela grande quantidade de K+ concentrado na linha de plantio as características tecnológicas dos colmos não foram prejudicadas. Com base nos valores de Nm, N0 e k, pode-se concluir que ocorreu imobilização do N mineral pela biomassa microbiana nos tratamentos com VC. O módulo SoilN do APSIM apresentou bom desempenho em simular a produção de NO3 -, pois a nitrificação calculada diariamente a partir do modelo se ajustou adequadamente aos valores de nitrato observados nas incubações; o modelo foi bem sucedido em calcular as perdas de N no tratamento com a maior dose de VNC a partir dos valores da curva de retenção e do volume de água aplicada no solo. / In São Paulo State, the legislation from CETESB restricts the application of vinasse in many soils, resulting in the need to distribute it in areas distant from the mill. However, due to the large amount of waste water, the transport becomes unfeasible economically. An alternative is to reduce the volume by evaporation, resulting in the concentrated vinasse (CV). But, high temperatures during the evaporation cause changes in the organic matter. So, considering that its application is in the row of sugarcane, unlike the not concentrated vinasse (NCV) which is applied in the total area, the objectives were (1) study some physicochemical properties of the CV and compare it with NCV, (2) evaluate the effects of CV in soil fertility, ions percolation, productivity, and technological quality of stems and (3) evaluate the net N mineralization (Nm). (I) Samples of CV and NCV were collected at two sugarcane mills in 2010 and 2011, (II) an experiment was conducted in São Paulo, in a commercial sugarcane area, (III) an aerobic incubation was conducted to determine Nm, potential N mineralization (N0), rate of N mineralization (k) and (IV) parameterize SoilN APSIM model for soil with vinasse application. It was found that the evaporation of the vinasse leads to greater variation in the concentration of some elements, especially Na+ and ammoniacal and nitrate nitrogen. 30 m3 ha-1 of CV applied in the sugarcane line caused high concentration of Cl-, NO3 -, Ca +2, Mg+2 and SO4 -2 in the soil solutions collected at 0.80 m. There were increase in pH, CEC and the content of the cations, while the values of m% decreased, resulting in availability of nutrient, increasing the soil fertility and productivity. CV promoted gains of 8 Mg ha-1 compared to control and, even the large amount of K+ concentrated in the sugarcane line, the technological characteristics of the stems were not impaired. Based on the values of Nm, k and N0, we can conclude that the mineral N was immobilized by microbial biomass in CV treatments. The APSIM showed good performance to simulate NO3 - production. The nitrification calculated daily from the model was successful to fit to the values observed. The model was successful to calculate N losses in treatment with the highest dose of NCV.
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On the use of randomness extractors for practical committee selectionZheng, Zehui 05 May 2020 (has links)
In this thesis, we look into the problem of forming and maintaining good committees that can represent a distributed network. The solution to this problem can be used as a sub-routine for Byzantine Agreement that only costs sub-quadratic message complexity. Most importantly, we make no cryptographic assumptions such as the Random Oracle assumption and the existence of private channels. However, we do assume the network to be peer-to-peer, where a message receiver knows who the message sender is. Under the synchronous full information model, our solution is to utilize an approximating disperser for selecting a good next committee with high probability, repeatedly. We consider several existing theoretical constructions (randomized and deterministic) for approximating dispersers, and examine the practical applicability of them, while improving constants for some constructions. This algorithm is robust against a semi-adaptive adversary who can decide the set of nodes to corrupt periodically. Thus, a new committee should be selected before the current committee gets corrupted. We also prove some constructions that do not work practically for our scenario. / Graduate
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Algorithmically Flexible Style Composition Through Multi-Objective Fitness FunctionsMurray, Skyler James 26 November 2012 (has links) (PDF)
Creating a fitness function for music is largely subjective and dependent on a programmer's personal tastes or goals. Previous attempts to create musical fitness functions for use in genetic algorithms lack scope or are prejudiced to a certain genre of music. They also suffer the limitation of producing music only in the strict style determined by the programmer. We show in this paper that musical feature extractors that avoid the challenges of qualitative judgment enable creation of a multi-objective function for direct music production. Multi-objective fitness functions enable creation of music with varying identifiable styles. With this system we produced three distinct groups of music which computationally cluster into distinct styles as described by the set of feature extractors. We also show that knowledgeable individuals make similar clusters while a random sample of people make some similar and some different clusterings.
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Limites de umidade e concentrações de potássio na solução do solo no cultivo do lisianthus (Eustoma grandiflorum) fertirrigado em ambiente protegido / Moisture limits and potassium concentrations in soil solution in crop lisianthus (Eustoma grandiflorum) fertigated in greenhouse conditionsSousa Neto, Osvaldo Nogueira de 12 January 2017 (has links)
O lisianthus (Eustoma grandiflorum) vem despertando grande interesse, pela beleza das cores das flores, firmeza das hastes e durabilidade pós-colheita. No entanto, o conhecimento da irrigação e da fertirrigação do lisianthus, fatores de alto impacto na produção e na qualidade das hastes e dos botões florais, têm-se apoiado, geralmente, no empirismo ou em recomendações de outros países, resultando na aplicação de quantidade insuficiente ou excessiva de água e fertilizantes. Este trabalho teve como objetivo estabelecer parâmetros para o manejo racional da fertirrigação do lisianthus (var. Casablanca e var. Excalibur) sob ambiente protegido, por meio da determinação do melhor limite inferior de umidade no solo, associado à determinação da concentração ótima de potássio a ser mantida na solução do solo. A pesquisa foi conduzida em dois ambientes protegidos, localizados na área experimental do Departamento de Engenharia de Biossistemas da Escola Superior de Agricultura \"Luiz de Queiroz\", Universidade de São Paulo (ESALQ/USP). Os tratamentos foram constituídos de cinco limites de umidade no solo para início da irrigação (T1 = 0,20, T2 = 0,15, T3 = 0,13, T4 = 0,11 e T5 = 0,09 cm3 cm-3) e cinco concentrações de potássio na solução do solo (K1 = 50, K2 = 100, K3 = 150, K4 = 200 e K5 = 250 mg dm-3). As parcelas foram dispostas no delineamento em blocos completos inteiramente casualizados, arranjados em esquema fatorial de 5 x 5 (cinco limites de umidade e cinco concentrações de potássio na solução do solo), com quatro repetições, totalizando 100 parcelas experimentais. Durante a fase de crescimento e de produção do lisianthus, foi monitorada a solução no solo, medindo-se as concentrações de potássio (K+), bem como a condutividade elétrica (CE) da solução, nas profundidades, de 0,15 e 0,30 m, por meio de extratores de solução do solo e de um reflectômetro TDR100 (Campbell Scientific, Logan-Utah). No primeiro ciclo (ciclo de outono-inverno) foram obtidos turnos de regas médios equivalentes a 6, 10, 12, 12 e 12 dias para limites de umidade do solo iguais a 0,20, 0,15, 0,13, 0,11 e 0,09 cm3 cm-3 respectivamente. Já no segundo ciclo (ciclo de primavera verão) os limites de umidades estudados resultaram em intervalos entre fertirrigações (turnos de rega médios) de aproximadamente 7, 11, 14, 17 e 23 dias. O cultivo do lisianthus sob o limite inferior de umidade do solo igual a 0,20 cm3 cm-3 resultou na aplicação de lâminas de irrigação de até 16% (primeiro ciclo) e 26% (segundo ciclo) superiores em relação às lâminas médias dos demais limites de umidade do solo. Após a obtenção de boa aproximação entre os valores esperados e obtidos das concentrações de potássio (K+) e da condutividade elétrica da solução do solo (CEes) no início do ciclo, foi possível, por meio do uso de extratores de cápsula porosa e TDR, a manutenção das concentrações de K+ e CEes em níveis próximos aos estabelecidos pelos tratamentos, garantindo o paralelismo dos perfis ao longo do tempo. A ordem de predominância dos nutrientes nas plantas de liasianhtus colhidas no final do segundo ciclo foi K>N>S>Mg>Ca>P, para os macros e Fe>Mn>B>Zn>Cu para os micronutrientes, além disso, verificou-se também que, as diferentes concentrações de potássio na solução do solo não resultou em diferenças expressivas nos teores deste nas plantas. As principais características de crescimento e produção da cultura do lisianthus apresentaram resposta linear decrescente em função da redução dos valores de umidade do solo tidos como limites para início da irrigação. O uso de extratores de capsulas porosas associado ao monitoramento da umidade do solo com a TDR e a utilização da equação do balanço de massas possibilitou um manejo satisfatório das concentrações de potássio e da condutividade elétrica da solução do solo no cultivo do lisianthus fertirrigado em ambiente protegido. Além disso, para todas as variáveis de interesse comercial e de rendimento total, os melhores resultados foram obtidos quando a cultura do lisianthus foi submetida a maiores frequências de fertirrigação. As características de rendimento e de qualidade das hastes florais não foram influenciadas pelas concentrações de potássio na solução do solo. / Lisianthus (Eustoma grandiflorum) has had attracting great interest by the beauty of the flowers colors, firmness of stems and post-harvest durability. However, knowledge of irrigation and fertigation of lisiathus, high impact factors in the production and quality of stems and flower buds, have had based it generally on empiricism or recommendations from other countries, resulting in insufficient or excessive application of water and fertilizer. This study aimed to establish parameters for the appropriated management of lisianthus fertigation (var. Casablanca and var. Excalibur) under protected environment by determining the best soil moisture lower boundary associated with the optimum concentration of potassium which have be maintained in the soil solution. The research was conduct in two greenhouses, located in the experimental area of the Department of Biosystems Engineering from Escola Superior de Agricultura \"Luiz de Queiroz\", University of São Paulo (ESALQ / USP). The treatments were compose of five soil moisture limits to start fertigation (T1 = 0.20, T2 = 0.15, T3 = 0.13, T4 = 0.11 and T5 = 0.09 cm3 cm-3) and five concentrations of potassium in the soil solution (K1 = 50, K2 = 100, K3 = 150, K4 = 200 and K5 = 250 mg dm-3). The plots were arrange in completely randomized block design and factorial scheme of 5 x 5 (five moisture limits and five concentrations of potassium in the soil solution), with four repetitions, totaling 100 plots. During the growth and production phases of lisianthus, the soil solution was monitoring by measuring of potassium concentration (K+) and electrical conductivity (EC) at 0.15 to 0.30 m of depth through soil solution extractors and TDR100 Reflectometer (Campbell Scientific, Logan, Utah). In the first cycle (autumn-winter), average scheduling irrigation equivalent to 6, 10, 12, 12 and 12 days were obtained for soil moisture limits equal to 0.20, 0.15, 0.13, 0, 11 and 0.09 cm3 cm-3 respectively. And the second cycle (summer-spring) the limits of moisture studied resulted in intervals between fertigations (average scheduling irrigation) of approximately 7, 11, 14, 17 and 23 days. Cultivation of lisianthus under the lower soil moisture limit of 0.20 cm3 cm-3 resulted in the application of irrigation depth of up to 16% (first cycle) and 26% (second cycle) higher than the average irrigation depth of the others limits of soil moisture. At the beginning of the cycle, after obtaining a good approximation between the expected and observed values of the potassium (K+) and the electrical conductivity of the soil solution, it was possible the maintenance of the concentrations of K+ and CEs at levels close to those established by the treatments through the use of porous capsule extractors and TDR, guaranteeing the parallelism of the profiles over the time. The nutrients order predominance in the lisianthus plants harvested at the end of the second cycle was K> N> S> Mg> Ca> P, for the macros and Fe> Mn> B> Zn> Cu for micronutrients. It was also observed that, the different concentrations of potassium in the soil solution did not result in significant differences in contents of that nutrient in the plants. The main growth and yield characteristics of the lisianthus crop showed a linear decreasing response as a function of the reduction of the soil moisture values considered as limits for the beginning of irrigation. The use of porous capsules extractors associated with soil moisture monitoring with TDR and the mass balance equation enabled satisfactory management of potassium and electrical conductivity concentrations of the soil solution in the grown crop of lisianthus. Furthermore, the best results were obtain when lisianthus was subject to higher frequencies of fertigation for all variables of commercial interest and total yield. The yield and quality characteristics of the flower stems were not influenced by the potassium concentrations in the soil solution.
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