Frédéric A. B. Edoukou

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math.AG2009★ 2 cited

New informations on the structure of the functional codes defined by forms of degree $h$ on non-degenerate Hermitian varieties in $\mathbb{P}^{n(\mathbb{F}_q)$}

Frédéric A. B. Edoukou, San Ling, Chaoping Xing

We study the functional codes of order $h$ defined by G. Lachaud on $X \subset P^{n} (F_{q})$ a non-degenerate Hermitian variety. We give a condition of di…

math.AG2009★ 1 cited

On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric

Frédéric Edoukou, Anja Hallez, François Rodier +1

We study the small weight codewords of the functional code C_2(Q), with Q a non-singular quadric of PG(N,q). We prove that the small weight codewords correspond to the intersection…

math.AG2006

Codes defined by forms of degree 2 on hermitian surfaces and Sørensen's conjecture

Frederic A. B. Edoukou

We study the functional codes $C_{h} (X)$ defined by G. Lachaud in $[10]$ where $X \subset P^{N}$ is an algebraic projective variety of degree $d$ and dimension…

math.AG2006

Codes defined by forms of degree 2 on quadric and non-degenerate hermitian varieties in $P^{4} (F_{q})$ }

Frederic A. B. Edoukou

We study the functional codes of second order defined by G. Lachaud on $X \subset P^{4} (F_{q})$ a quadric of rank( $X$ )=3,4,5 or a non-degenerate…

math.AG2005

The weight distribution of the functional codes defined by forms of degree 2 on hermitian surfaces

Frederic A. B. Edoukou

We study the functional codes $C_{2} (X)$ defined on a projective variety $X$ , in the case where $X \subset P^{3}$ is a non-degenerate hermitian surface. We first give some b…

math.AG2005

Codes Defined By Forms Of Degree 2 On Quadric Surfaces

Frederic A. B. Edoukou

We study the functional codes $C_{2} (X)$ defined on projective varieties $X$ , in the case where $X \subset P^{3}$ is a 1-degenerate quadric or a non-degenerate quadric (hyperbo…

New informations on the structure of the functional codes defined by forms of degree h on non-degenerate Hermitian varieties in $\mathbb{P}^{n(\mathbb{F}_q)$}

On the small weight codewords of the functional codes C_2(Q), Q a non-singular quadric

Codes defined by forms of degree 2 on hermitian surfaces and Sørensen's conjecture

Codes defined by forms of degree 2 on quadric and non-degenerate hermitian varieties in P4(Fq​)}

The weight distribution of the functional codes defined by forms of degree 2 on hermitian surfaces

Codes Defined By Forms Of Degree 2 On Quadric Surfaces

New informations on the structure of the functional codes defined by forms of degree $h$ on non-degenerate Hermitian varieties in $\mathbb{P}^{n(\mathbb{F}_q)$}

Codes defined by forms of degree 2 on quadric and non-degenerate hermitian varieties in $P^{4} (F_{q})$ }