Elsevier

Discrete Mathematics

Volume 112, Issues 1–3, 25 March 1993, Pages 245-248
Discrete Mathematics

Communication
On the concatenated structures of a [49, 18, 12] binary abelian code

https://doi.org/10.1016/0012-365X(93)90236-MGet rights and content
Under an Elsevier user license
open archive

Abstract

We here introduce a new formalism for describing concatenated codes. Using this formalism, we show how any generalized concatenated code can be viewed as a first order concatenated code. Finally, we give an illustrative example: using Jensen's result (1985) which shows that any abelian code has a generalized concatenated structure, we first give the representation of the [49, 18, 12] abelian code introduced by Camion (1971) as a second order concatenated code; then using our description, we show that this code is also equal to the first order concatenation of two linear cyclic codes.

Cited by (0)