03657nam a22005655i 4500 978-3-031-50650-5 DE-He213 20251030111434.0 cr nn 008mamaa 240220s2024 sz | s |||| 0|eng d 9783031506505 978-3-031-50650-5 10.1007/978-3-031-50650-5 doi TK7867-7867.5 TJFC bicssc TEC008010 bisacsh TJFC thema Stanković, Radomir S. author. aut http://id.loc.gov/vocabulary/relators/aut 71396 Bent Functions and Permutation Methods [electronic resource] : Binary and Multiple-Valued Bent Functions / by Radomir S. Stanković, Milena Stanković, Claudio Moraga, Jaakko Astola. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIX, 272 p. 27 illus., 22 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 Basic Concepts and Notations -- Gibbs Derivatives on Finite Abelian Groups -- Gibbs Characterization of Binary Bent Functions -- Gibbs Characterisation of Ternary Bent Functions -- Gibbs Characterization of a Class of Quaternary Bent Functions -- Matrix-valued Binary Bent Functions -- Matrix-valued Ternary Bent Functions -- Construction of Bent Functions by FFT-like Permutation Matrices -- Construction of Ternary Bent Functions Trough Matrix Representations. This book discusses in a uniform way binary, ternary, and quaternary bent functions, while most of the existing books on bent functions refer to just binary bent functions. The authors describe the differences between binary and multiple-valued cases and the construction methods for bent functions are focused on the application of two types of permutation matrices. These matrices are derived from a class of differential operators on finite groups and Fast Fourier transform algorithms, respectively. The approach presented is based on the observation that given certain bent functions, many other bent functions can be constructed by manipulating them. Permutations are possible manipulations that are easy to implement. These permutations perform spectral invariant operations which ensure that they preserve bentness. Electronic circuits. Cryptography. 64299 Data encryption (Computer science). 58243 Computers. 65793 Electronic Circuits and Systems. Cryptology. 66491 Hardware Performance and Reliability. 71397 Stanković, Milena. author. aut http://id.loc.gov/vocabulary/relators/aut 71398 Moraga, Claudio. author. aut http://id.loc.gov/vocabulary/relators/aut 71399 Astola, Jaakko. author. aut http://id.loc.gov/vocabulary/relators/aut 71400 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031506499 Printed edition: 9783031506512 Printed edition: 9783031506529 Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 https://doi.org/10.1007/978-3-031-50650-5 ZDB-2-SXSC 57746 57746