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20122026
most citedLinear codes over Fq which are equivalent to LCD codes

12 citations · 78 across the 56 of their papers we have counts for

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Showing 2018Show all

8 papers · 1 filter

cs.IT2018★ 1 cited

A Proof of the Beierle-Kranz-Leander Conjecture related to Lightweight Multiplication in $\mathds{F}_{2^n}$

Sihem Mesnager, Kwang Ho Kim, Dujin Jo +3

Lightweight cryptography is a key tool for building strong security solutions for pervasive devices with limited resources. Due to the stringent cost constraints inherent in extrem…

cs.IT2018

Improved upper bound on root number of linearized polynomials and its application to nonlinearity estimation of Boolean functions

Sihem Mesnager, Kwang Ho Kim, Myong Song Jo

To determine the dimension of null space of any given linearized polynomial is one of vital problems in finite field theory, with concern to design of modern symmetric cryptosystem…

cs.IT2018

Cyclic bent functions and their applications in codes, codebooks, designs, MUBs and sequences

Cunsheng Ding, Sihem Mesnager, Chunming Tang +1

Let be an even positive integer. A Boolean bent function on $\GF{m-1} \times \GF {}$ is called a \emph{cyclic bent function} if for any $a\neq b\in \GF {m-1}$ and $ε\in \GF…

cs.IT2018

Two constructions of optimal pairs of linear codes for resisting side channel and fault injection attacks

Claude Carlet, Chengju Li, Sihem Mesnager

Direct sum masking (DSM) has been proposed as a counter-measure against side-channel attacks (SCA) and fault injection attacks (FIA), which are nowadays important domains of crypta…

cs.IT2018

Strongly regular graphs from weakly regular plateaued functions

Sihem Mesnager, Ahmet Sınak

The paper provides the first constructions of strongly regular graphs and association schemes from weakly regular plateaued functions over finite fields of odd characteristic. We g…

cs.IT2018

Several classes of minimal linear codes with few weights from weakly regular plateaued functions

Sihem Mesnager, Ahmet Sınak

Minimal linear codes have significant applications in secret sharing schemes and secure two-party computation. There are several methods to construct linear codes, one of which is…