Add to ORKGIn this paper, we generalize the theorem given by R. M. Wilson about weights modulo$p^t$in linear codes to a divisible code version. Using a similar idea, we give an upper bound for the dimension of a divisible code by some divisibility property of its weight enumerator modulo$p^e$. We also prove that this bound implies Ward's bound for divisible codes. Moreover, we see that in some cases, our bound gives better results than Ward's bound
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
We study a certain kind of linear codes, namely divisible codes, over finite fields. These codes, in...
AbstractWe present a character-free proof of the divisible code bound and some applications
This paper surveys parts of the study of divisibility properties of codes. The survey begins with th...
AbstractWe prove that if a linear code overGF(p),pa prime, meets the Griesmer bound, then ifpedivide...
Counting polynomial techniques introduced by Wilson are used to provide analogs of a theorem of McEl...
AbstractAn integer-valued function f(x) on the integers that is periodic of period pe, p prime, can ...
An integer-valued function f(x) on the integers that is periodic of period p^e, p prime, can be matc...
A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic...
With any fixed prime number p and positive integer N, not divisible by p, there is associated an inf...
In this paper we look at linear codes over the Galois ring GR(p^ℓ,m) with the homogeneous weight and...
In this paper we look at linear codes over the Galois ring GR(p^ℓ,m) with the homogeneous weight and...
AbstractWe identify the largest integer λ such that all weights in a p-ary cyclic code C are divisib...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
We study a certain kind of linear codes, namely divisible codes, over finite fields. These codes, in...
AbstractWe present a character-free proof of the divisible code bound and some applications
This paper surveys parts of the study of divisibility properties of codes. The survey begins with th...
AbstractWe prove that if a linear code overGF(p),pa prime, meets the Griesmer bound, then ifpedivide...
Counting polynomial techniques introduced by Wilson are used to provide analogs of a theorem of McEl...
AbstractAn integer-valued function f(x) on the integers that is periodic of period pe, p prime, can ...
An integer-valued function f(x) on the integers that is periodic of period p^e, p prime, can be matc...
A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic...
With any fixed prime number p and positive integer N, not divisible by p, there is associated an inf...
In this paper we look at linear codes over the Galois ring GR(p^ℓ,m) with the homogeneous weight and...
In this paper we look at linear codes over the Galois ring GR(p^ℓ,m) with the homogeneous weight and...
AbstractWe identify the largest integer λ such that all weights in a p-ary cyclic code C are divisib...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...
It is shown that the parameters of a linear code over ${\mathbb F}_q$ of length $n$, dimension $k$, ...