| [177054] |
| Title: The weight distribution of indecomposable cyclic codes over 2-groups. |
| Written by: Karl-Heinz Zimmermann |
| in: <em>Journal of Combinatorial Theory, Series A</em>. May (1992). |
| Volume: <strong>60</strong>. Number: (1), |
| on pages: 85-103 |
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| ISBN: 10.1016/0097-3165(92)90039-W |
| how published: 92-90 Zimm92b JCT |
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Note: khzimmermann, AEG
Abstract: In this paper, we study a class of codes, the so-called coset group codes, and prove several interesting properties about coset group codes. The indecomposable cyclic codes of length pm over the alphabet GF(pn) can be viewed as coset group codes. From this characterization we firstly obtain the weight distribution of all indecomposable GF(2n)C2m-codes, and secondly the weight distribution of the radical powers of GF(2n)G if G contains a normal cyclic 2-Sylow subgroup.