Bent-function sequences / by 170509 Olsen, John D., Scholtz, Robert A., Welch, Lloyd R.

Further constructions of bent functions and their duals by Yanjun Li, Jie Peng, Chik How Tan, Haibin Kan, Lijing Zheng

“…However, the duals of bent functions in their constructions were not presented. …”
Get full text

Construction of an S-Box Based on Chaotic and Bent Functions by Zijing Jiang, Qun Ding

Subjects: “…Bent function…”
Get full text

Association schemes arising from bent functions by Pott, Alexander, Tan, Yin, Feng, Tao, Ling, San

“…We give a construction of 3-class and 4-class association schemes from s-nonlinear and differentially 2s-uniform functions, and a construction of p-class association schemes from weakly regular p-ary bent functions, where p is an odd prime.…”
Get full text
Get full text

Asymptotically Optimal Codebooks Derived From Generalised Bent Functions by Qiuyan Wang, Yang Yan

Subjects: Get full text

An Algorithm for Constructing Support of Bent Functions by Extending a Set by Joseph Nelson, Chungath Srinivasan, K. V. Lakshmy

Subjects: “…primary construction of bent functions…”
Get full text

ROBUST CODES CREATION BASED ON BENT-FUNCTIONS AND WAVELET TRANSFORMATION by Levina A.B., Ryaskin G.A.

Subjects: Get full text

Robust Code Constructions Based on Bent Functions and Spline Wavelet Decomposition by Alla Levina, Gleb Ryaskin

Subjects: Get full text

An efficient characterization of a family of hyper-bent functions with multiple trace terms by Flori Jean-Pierre, Mesnager Sihem

Subjects: Get full text

A New Algorithm for Enumerating Bent Functions Based on Truth Tables and Run Length by Yongbin Zhao, Ning Cao, Zhaohui Qi, Guofu Li, Pingzeng Liu

Subjects: “…Bent functions…”
Get full text

Genetic Approach to Improve Cryptographic Properties of Balanced Boolean Functions Using Bent Functions by Erol Özçekiç, Selçuk Kavut, Hakan Kutucu

“…Here, we consider balanced Boolean functions that are closest to the bent functions in terms of the Hamming distance and perform a genetic algorithm efficiently aiming to optimize their cryptographic properties, which provides better absolute indicator values for all of those values of <i>n</i> for the first time. …”
Get full text

Efficient Image Encryption Based on New Substitution Box Using DNA Coding and Bent Function by Hend Ali Mohammed Ali Basha, Ashraf Shawky Seliem Mohra, Tamer Omar Mohamed Diab, Wageda Ibrahim El Sobky

“…This study contributes to creating an unbreakable S-Box based on a strong bent function expanded by DNA sequences and investigates and analyzes the strength of the proposed S-Box against major standard criteria and benchmarks, such as interpolation attacks, algebraic attacks, avalanche effect, nonlinearity, and period. …”
Get full text

Nonexistence results on generalized bent functions Zqm→Zq with odd m and q ≡ 2 (mod 4) by Leung, Ka Hin, Schmidt, Bernhard

“…Let p be an odd prime, let a be a positive integer, let m be an odd positive integer, and suppose that a generalized bent function from Z2pam to Z2pa exists. We show that this implies m≠1, p≤22m+2m+1, and ordp(2)≤2m−1. …”
Get full text

REGULAR METHOD FOR SYNTHESIS OF BASIC BENT-SQUARES OF RANDOM ORDER by A. V. Sokolov

Subjects: “…bent-function…”
Get full text

Construction and Assignment of Orthogonal Sequences and Zero Correlation Zone Sequences Over GF(<italic>p</italic>) by Chunlei Xie, Xiaofang Wang, Liupiao Zhang

Subjects: Get full text

An upper bound on binomial coefficients in the de Moivre – Laplace form by Sergey V. Agievich

Subjects: Get full text

Boolean Functions with Affine Annihilators by A. S. Zelenetsky, P. G. Klyucharev

Subjects: Get full text

Strict avalanche criterion over finite fields by Li Yuan, Cusick T. W.

Subjects: Get full text

A SYNTHESIS METHOD OF BASIC TERNARY BENT-SQUARES BASED ON THE TRIAD SHIFT OPERATOR by O. N. Zhdanov, A. V. Sokolov

“…In addition to the binary bent-functions researchers are currently focuses on the development of synthesis methods of their many-valued analogues. …”
Get full text

A New Family of Boolean Functions with Good Cryptographic Properties by Guillermo Sosa-Gómez, Octavio Paez-Osuna, Omar Rojas, Evaristo José Madarro-Capó

“…In 2005, Philippe Guillot presented a new construction of Boolean functions using linear codes as an extension of the Maiorana–McFarland’s (MM) construction of bent functions. In this paper, we study a new family of Boolean functions with cryptographically strong properties, such as non-linearity, propagation criterion, resiliency, and balance. …”
Get full text