12 citations · 75 across the 31 of their papers we have counts for
37 papers · 1 filter
Asymptotically Optimal Aperiodic and Periodic Sequence Sets with Low Ambiguity Zone Through Locally Perfect Nonlinear Functions
Zheng Wang, Zhengchun Zhou, Avik Ranjan Adhikary +3
Low ambiguity zone (LAZ) sequences play a crucial role in modern integrated sensing and communication (ISAC) systems. In this paper, we introduce a novel class of functions known a…
Cyclic codes from low differentially uniform functions
Sihem Mesnager, Minjia Shi, Hongwei Zhu
Cyclic codes have many applications in consumer electronics, communication and data storage systems due to their efficient encoding and decoding algorithms. An efficient approach t…
On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their -differential properties
Haode Yan, Sihem Mesnager, Xiantong Tan
Only three classes of Almost Perfect Nonlinear (for short, APN) power functions over odd characteristic finite fields have been investigated in the literature, and their differenti…
Two low differentially uniform power permutations over odd characteristic finite fields: APN and differentially -uniform functions
Haode Yan, Sihem Mesnager, Xiantong Tan
Permutation polynomials over finite fields are fundamental objects as they are used in various theoretical and practical applications in cryptography, coding theory, combinatorial…
Solving in
Kwang Ho Kim, Sihem Mesnager
This article determines all the solutions in the finite field of the equation . Specifically, we explicitly…
On Infinite Families of Narrow-Sense Antiprimitive BCH Codes Admitting 3-Transitive Automorphism Groups and their Consequences
Qi Liu, Cunsheng Ding, Sihem Mesnager +2
The Bose-Chaudhuri-Hocquenghem (BCH) codes are a well-studied subclass of cyclic codes that have found numerous applications in error correction and notably in quantum information…