WebBent functions were introduced by Rothaus [13] in 1976 and their generalization was given by Kumar et al. [8] in 1985. Since then a lot of research work is done on the constructions and characterizations of bent and generalized bent functions [4,5,10,11]. Generalized bent functions are well studied due to their connection to cyclic codes Web1 okt. 2011 · Request full-text Abstract This paper presents a construction of infinite classes of binary and p-ary hyperbent functions of polynomial trace form, based on finding a …

Codes, bent functions and permutations suitable for DES-like ...

Web19 nov. 2024 · Cyclic bent functions look extremely rare. This paper focuses on cyclic bent functions on $\GF {m-1} \times \GF {}$ and their applications. The first objective of … Web1 jan. 2016 · On generalized bent and q-ary perfect nonlinear functions. In: Proceedings of the Fifth International Conference "Finite Fields and Applications", pp. 81---94 (2001). Carlet C., Gaborit P.: Hyper-bent functions and cyclic codes. J. Comb. english class 21

[1811.07725] Cyclic bent functions and their applications in codes ...

Web19 nov. 2024 · The results of this paper show that cyclic bent functions and cyclic semi-bent functions have nice applications in several fields such as symmetric cryptography, … Webwe prove that AB functions correspond to uniformly packed codes with external distance three. To conclude, we explain how the primitive cyclic codes appear in this context and … Webthat cyclic bent functions and cyclic semi-bent functions have nice applications in several fields such as symmetric cryptography, quantum physics, compressed sensing … english class 2 book pdf