Cyclic-additive-difference sets are combinatorial objects defined by Claude Carlet in 2018. It is, in some sense similar to cyclic difference sets, a well-known concept. In this thesis, first we summarize the current knowledge about cyclic-additive-difference sets and their connection to differential cryptanalysis. Then we present our own results. First, we prove the existence of three infinite families of cyclic-additive-difference sets arising from powers of Singer sets which is an open problem asked by Carlet in 2019. Then we generalize the definition of cyclic-additive-difference sets to the fields of odd characteristic and study similar sets in odd characteristic case. 1
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:452312 |
| Date | January 2021 |
| Creators | Beneš, Daniel |
| Contributors | Göloglu, Faruk, Drápal, Aleš |
| Source Sets | Czech ETDs |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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