In this correspondance we describe a class of codes over GF(q), where q is a power of an odd prime. These codes are analogs of the binary Reed-Muller codes and share several features in common with them. We determine the minimum weight and properties of these codes. For a subclass of codes we find the weight distribution and prove that the minimum nonzero weight codewords give 1-designs.Accepted versio
Not much is known about theweight distribution of the generalized Reed-Muller code RMq (s,m) when q ...
In this paper, we apply two-to-one functions over b F 2n in two generic constructions of binary line...
Abstract. The effect of changing the basis for representation of Reed-Solomon codes in the binary fo...
Abstract In this correspondence we describe a class of codes over GF (q), where q is a power of an o...
AbstractIn IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-gr...
In IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-group, a c...
For every prime-power q and every pair of natural numbers m ≤ n′, we construct a q-ary linear code o...
AbstractConsider an (n,k) linear code with symbols from GF(2m). If each code symbol is represented b...
Cyclic codes are a subclass of linear codes and have wide applications in consumer electronics, data...
Not much is known about the weight distribution of the generalized Reed-Muller code RMq(s,m) when q&...
We study sets of quadratic forms in m variables over GF (q) such that the difference of any two quad...
International audienceThe second weight of the Generalized Reed-Muller code of length q n and order ...
We study sets of quadratic forms in m variables over GF (q) such that the difference of any two quad...
AbstractFor every odd prime power q where q ≡ −1(3) we define a (2q + 2, q + 1) code over the field ...
We study sets of quadratic forms in m variables over GF (q) such that the difference of any two quad...
Not much is known about theweight distribution of the generalized Reed-Muller code RMq (s,m) when q ...
In this paper, we apply two-to-one functions over b F 2n in two generic constructions of binary line...
Abstract. The effect of changing the basis for representation of Reed-Solomon codes in the binary fo...
Abstract In this correspondence we describe a class of codes over GF (q), where q is a power of an o...
AbstractIn IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-gr...
In IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-group, a c...
For every prime-power q and every pair of natural numbers m ≤ n′, we construct a q-ary linear code o...
AbstractConsider an (n,k) linear code with symbols from GF(2m). If each code symbol is represented b...
Cyclic codes are a subclass of linear codes and have wide applications in consumer electronics, data...
Not much is known about the weight distribution of the generalized Reed-Muller code RMq(s,m) when q&...
We study sets of quadratic forms in m variables over GF (q) such that the difference of any two quad...
International audienceThe second weight of the Generalized Reed-Muller code of length q n and order ...
We study sets of quadratic forms in m variables over GF (q) such that the difference of any two quad...
AbstractFor every odd prime power q where q ≡ −1(3) we define a (2q + 2, q + 1) code over the field ...
We study sets of quadratic forms in m variables over GF (q) such that the difference of any two quad...
Not much is known about theweight distribution of the generalized Reed-Muller code RMq (s,m) when q ...
In this paper, we apply two-to-one functions over b F 2n in two generic constructions of binary line...
Abstract. The effect of changing the basis for representation of Reed-Solomon codes in the binary fo...