International audienceWe are able to define minimum weight codewords of some alternant codes in terms of solutions to algebraic equations. Particular attention is given to the case of the classical Goppa codes. Grobner bases are used to solve the system of algebraic equation
In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Matti...
AbstractIn this note a combinatorial character formula related to the symmetric group is generalized...
AbstractWe give a refinement of the linear independence criterion over function fields developed by ...
International audienceThis paper consider the use of Newton's identities for establishing properties...
AbstractA classical binary Preparata code P2(m) is a nonlinear (2m+1,22(2m-1-m),6)-code, where m is ...
We consider cyclic codes CL associated to quadratic trace forms inm variables (Formula Presented) de...
AbstractA binary linear code in F2n with dimension k and minimum distance d is called an [n,k,d] cod...
The purpose of this paper is to introduce new linear codes with generalized symmetry. We extend cyc...
Let m ≥ 3 be an odd integer and p be an odd prime. In this paper, a number of classes of three-weigh...
We construct evaluation codes given by weight functions defined over polynomial rings in m a parts p...
AbstractLet q=pm where p is an odd prime, m⩾3, k⩾1 and gcd(k,m)=1. Let Tr be the trace mapping from ...
AbstractThis paper shows that the Chebyshev weightw(x)=(1−x2)−1/2is the only weight having the prope...
AbstractWe develop a matrix approach to compute a certain sum of Gauss sums which arises in the stud...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
AbstractWe consider the ring Rpnq=GF(ℓ)[x]/(xpnq−1), where p, q, ℓ are distinct odd primes, ℓ is a p...
In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Matti...
AbstractIn this note a combinatorial character formula related to the symmetric group is generalized...
AbstractWe give a refinement of the linear independence criterion over function fields developed by ...
International audienceThis paper consider the use of Newton's identities for establishing properties...
AbstractA classical binary Preparata code P2(m) is a nonlinear (2m+1,22(2m-1-m),6)-code, where m is ...
We consider cyclic codes CL associated to quadratic trace forms inm variables (Formula Presented) de...
AbstractA binary linear code in F2n with dimension k and minimum distance d is called an [n,k,d] cod...
The purpose of this paper is to introduce new linear codes with generalized symmetry. We extend cyc...
Let m ≥ 3 be an odd integer and p be an odd prime. In this paper, a number of classes of three-weigh...
We construct evaluation codes given by weight functions defined over polynomial rings in m a parts p...
AbstractLet q=pm where p is an odd prime, m⩾3, k⩾1 and gcd(k,m)=1. Let Tr be the trace mapping from ...
AbstractThis paper shows that the Chebyshev weightw(x)=(1−x2)−1/2is the only weight having the prope...
AbstractWe develop a matrix approach to compute a certain sum of Gauss sums which arises in the stud...
AbstractWe determine when there exists a nonzero homomorphism between principal series representatio...
AbstractWe consider the ring Rpnq=GF(ℓ)[x]/(xpnq−1), where p, q, ℓ are distinct odd primes, ℓ is a p...
In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Matti...
AbstractIn this note a combinatorial character formula related to the symmetric group is generalized...
AbstractWe give a refinement of the linear independence criterion over function fields developed by ...
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