Generic Construction of Bent Functions and Bent Idempotents With Any Possible Algebraic Degrees

DOI10.1109/TIT.2017.2717966zbMath1390.94954OpenAlexW2710562044MaRDI QIDQ4566477

Xiaosong Zhang, Zhengchun Zhou, Yanfeng Qi, Tor Helleseth, Chun-Ming Tang, Cui Ling Fan

Publication date: 27 June 2018

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2017.2717966

Mathematics Subject Classification ID

Related Items

Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class, Infinite families of five-valued Walsh spectrum Boolean functions, Frobenius linear translators giving rise to new infinite classes of permutations and bent functions, Secondary constructions of RSBFs with good cryptographic properties, Secondary constructions of (non)weakly regular plateaued functions over finite fields, Vectorial bent functions and linear codes from quadratic forms, Minimal linear codes from Maiorana-McFarland functions, Generic construction of Boolean functions with a few Walsh transform values of any possible algebraic degree, Vectorial Boolean functions with the maximum number of bent components beyond the Nyberg's bound, Decomposing self-dual bent functions, New classes of bent functions via the switching method, Several classes of bent functions over finite fields, A new method for secondary constructions of vectorial bent functions, Constructing vectorial bent functions via second-order derivatives, Several new infinite families of bent functions via second order derivatives, Several classes of even-variable 1-resilient rotation symmetric Boolean functions with high algebraic degree and nonlinearity, An answer to an open problem of Mesnager on bent functions, Results on the nonexistence of bent-negabent rotation symmetric Boolean functions, Constructing new superclasses of bent functions from known ones