
On Infinite Families of NarrowSense Antiprimitive BCH Codes Admitting 3Transitive Automorphism Groups and their Consequences
The BoseChaudhuriHocquenghem (BCH) codes are a wellstudied subclass o...
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Constructions of Binary Cross ZComplementary Pairs With Large CZC Ratio
Cross Zcomplementary pairs (CZCPs) are a special kind of Zcomplementar...
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New constructions of qAry 2D ZComplementary Array Pairs
This paper is devoted to sequences and focuses on designing new twodime...
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A function field approach toward good polynomials for optimal LRC codes
Because of the recent applications to distributed storage systems, resea...
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Complete solution over p^n of the equation X^p^k+1+X+a=0
The problem of solving explicitly the equation P_a(X):=X^q+1+X+a=0 over ...
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Preimages of pLinearized Polynomials over p
Linearized polynomials over finite fields have been intensively studied ...
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Investigations on c(almost) perfect nonlinear functions
In a prior paper <cit.>, two of us, along with P. Ellingsen, P. Felke an...
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Fast algebraic immunity of Boolean functions and LCD codes
Nowadays, the resistance against algebraic attacks and fast algebraic at...
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A Novel Application of Boolean Functions with High Algebraic Immunity in Minimal Codes
Boolean functions with high algebraic immunity are important cryptograph...
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Solving Some Affine Equations over Finite Fields
Let l and k be two integers such that lk. Define T_l^k(X):=X+X^p^l+...+...
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A direct proof of APNness of the Kasami functions
Using recent results on solving the equation X^2^k+1+X+a=0 over a finite...
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Solving X^q+1+X+a=0 over Finite Fields
Solving the equation P_a(X):=X^q+1+X+a=0 over finite field Q, where Q=p^...
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Further study of 2to1 mappings over F_2^n
2to1 mappings over finite fields play an important role in symmetric c...
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Minimal linear codes from characteristic functions
Minimal linear codes have interesting applications in secret sharing sch...
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On twotoone mappings over finite fields
Twotoone (2to1) mappings over finite fields play an important role i...
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Solutions of x^q^k+...+x^q+x=a in GF2^n
Though it is well known that the roots of any affine polynomial over a f...
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Codebooks from generalized bent Z_4valued quadratic forms
Codebooks with small innerproduct correlation have application in unita...
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Solving x^2^k+1+x+a=0 in F_2^n with (n,k)=1
Let N_a be the number of solutions to the equation x^2^k+1+x+a=0 in n wh...
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A class of narrowsense BCH codes over F_q of length q^m1/2
BCH codes with efficient encoding and decoding algorithms have many appl...
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On the boomerang uniformity of (quadratic) permutations over F_2^n
At Eurocrypt'18, Cid, Huang, Peyrin, Sasaki, and Song introduced a new t...
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A Proof of the BeierleKranzLeander Conjecture related to Lightweight Multiplication in F_2^n
Lightweight cryptography is a key tool for building strong security solu...
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Improved upper bound on root number of linearized polynomials and its application to nonlinearity estimation of Boolean functions
To determine the dimension of null space of any given linearized polynom...
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Cyclic bent functions and their applications in codes, codebooks, designs, MUBs and sequences
Let m be an even positive integer. A Boolean bent function f on m1× is ...
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Strongly regular graphs from weakly regular plateaued functions
The paper provides the first constructions of strongly regular graphs an...
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Two constructions of optimal pairs of linear codes for resisting side channel and fault injection attacks
Direct sum masking (DSM) has been proposed as a countermeasure against ...
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Several classes of minimal linear codes with few weights from weakly regular plateaued functions
Minimal linear codes have significant applications in secret sharing sch...
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On the MenezesTeskeWeng's conjecture
In 2003, Alfred Menezes, Edlyn Teske and Annegret Weng presented a conje...
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Further study on the maximum number of bent components of vectorial functions
In 2018, Pott, at al. have studied in [IEEE Transactions on Information ...
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Vectorial Boolean functions and linear codes in the context of algebraic attacks
In this paper we study the relationship between vectorial (Boolean) func...
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Sihem Mesnager
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