12 citations · 91 across the 63 of their papers we have counts for
6 papers · 2 filters
Subfield Codes of Several Few-Weight Linear Codes Parametrized by Functions and Their Consequences
Li Xu, Cuiling Fan, Sihem Mesnager +2
Subfield codes of linear codes over finite fields have recently received much attention. Some of these codes are optimal and have applications in secrete sharing, authentication co…
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…
On the Niho type locally-APN power functions and their boomerang spectrum
Xi Xie, Sihem Mesnager, Nian Li +2
In this article, we focus on the concept of locally-APN-ness (``APN" is the abbreviation of the well-known notion of Almost Perfect Nonlinear) introduced by Blondeau, Canteaut, and…
Solving in
Kwang Ho Kim, Sihem Mesnager
This article determines all the solutions in the finite field of the equation . Specifically, we explicitly…