In a previous paper (Codes over certain rings, Inform. Contr. 20, 396–404) Blake defined codes over Zm, the integers modulo m, if m is the product of distinct primes, and remarked that no codes were available over Zpn if n > 1, since Zpn is not a semisimple ring. We show that codes over Zpn can be described in terms of codes over Zp and thus are able to describe the codes over Zm for any positive m
A code over a group ring is defined to be a submodule of that group ring. For a code $C$ over a grou...
AbstractWe study cyclic codes of arbitrary length N over the ring of integers modulo M. We first red...
A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic...
Given an integer m which is a product of distinct primes pi, a method is given for constructing code...
In a previous paper (Codes over certain rings, Inform. Contr. 20, 396–404) Blake defined codes over ...
BCH codes are constructed over integer residue rings by using BCH oces over both p-adic finite field...
Linear codes over the ring of integers modulo q = pr, p a prime, are considered. Natural analogs to ...
AbstractWe study cyclic codes of arbitrary length N over the ring of integers modulo M. We first red...
AbstractCodes over p-adic numbers and over integers modulo pd of block length pm invariant under the...
It is very well known that algebraic structures have valuable applications in the theory of error-co...
Several authors have established that many classical codes are ideals in certain ring constructions....
AbstractIt is well known that cyclic linear codes of length n over a (finite) field F can be charact...
We generalise structure theorems of Calderbank and Sloane for linear and cyclic codes over Zpa to a ...
A code over a group ring is defined to be a submodule of that group ring. For a code $C$ over a grou...
Cyclic codes with symbols from a residue class integer ring Zm are characterized in terms of the dis...
A code over a group ring is defined to be a submodule of that group ring. For a code $C$ over a grou...
AbstractWe study cyclic codes of arbitrary length N over the ring of integers modulo M. We first red...
A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic...
Given an integer m which is a product of distinct primes pi, a method is given for constructing code...
In a previous paper (Codes over certain rings, Inform. Contr. 20, 396–404) Blake defined codes over ...
BCH codes are constructed over integer residue rings by using BCH oces over both p-adic finite field...
Linear codes over the ring of integers modulo q = pr, p a prime, are considered. Natural analogs to ...
AbstractWe study cyclic codes of arbitrary length N over the ring of integers modulo M. We first red...
AbstractCodes over p-adic numbers and over integers modulo pd of block length pm invariant under the...
It is very well known that algebraic structures have valuable applications in the theory of error-co...
Several authors have established that many classical codes are ideals in certain ring constructions....
AbstractIt is well known that cyclic linear codes of length n over a (finite) field F can be charact...
We generalise structure theorems of Calderbank and Sloane for linear and cyclic codes over Zpa to a ...
A code over a group ring is defined to be a submodule of that group ring. For a code $C$ over a grou...
Cyclic codes with symbols from a residue class integer ring Zm are characterized in terms of the dis...
A code over a group ring is defined to be a submodule of that group ring. For a code $C$ over a grou...
AbstractWe study cyclic codes of arbitrary length N over the ring of integers modulo M. We first red...
A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic...
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