National Repository of Grey Literature 1 records found  Search took 0.00 seconds. 
Cyklicky-aditivně-diferenční množiny ze Singerových a GMW diferenčních množin.
Beneš, Daniel ; Göloglu, Faruk (advisor) ; Drápal, Aleš (referee)
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

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