By Lilya Budaghyan
This ebook covers novel study on building and research of optimum cryptographic services corresponding to virtually ideal nonlinear (APN), nearly bent (AB), planar and bent services. those features have optimum resistance to linear and/or differential assaults, that are the 2 strongest assaults on symmetric cryptosystems. in addition to cryptographic purposes, those capabilities are major in lots of branches of arithmetic and knowledge idea together with coding conception, combinatorics, commutative algebra, finite geometry, series layout and quantum info idea. the writer analyzes equivalence family members for those capabilities and develops a number of new equipment for building in their limitless households. furthermore, the e-book bargains strategies to 2 longstanding open difficulties, together with the matter on characterization of APN and AB services through Boolean, and the matter at the relation among sessions of bent functions.
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