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Síto v číselném tělese pro diskrétní logaritmus / Number Field Sieve for Discrete Logarithm

Many of today's cryptographic systems are based on the discrete logarithm problem, e.g. the Diffie-Hellman protocol. The number field sieve algorithm (NFS) is the algorithm solving the problem of factorization of integers, but latest works show, it can be also applied to the discrete logarithm problem. In this work, we study the number field sieve algorithm for discrete logarithm and we also compare the NFS for discrete logarithm with the NFS for factoriza- tion. Even though these NFS algorithms are based on the same principle, many differences are found. 1

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:346725
Date January 2016
CreatorsGodušová, Anna
ContributorsJedlička, Přemysl, Příhoda, Pavel
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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