M2(F2)和M2(F2[i])上的循环码和自对偶码

2011 11th Mediterranean Microwave Symposium (MMS) Pub Date : 2011-11-03 DOI:10.1109/MMS.2011.6068573

H. Sboui, A. Bouallègue, P. Solé

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引用次数: 0

摘要

本文通过类比研究了有限环M2(F2)和M2(F2[i])上的循环自对偶码。给出了X7 + 1 / M2(F2)的因式分解，并提出了双素数多项式Xm + 1 / M2(F2[i])的一种新的因式分解。

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Cyclic codes and self-dual codes over M2(F2) and M2(F2[i])

In this paper, we study cyclic self dual codes over the finite ring M2(F2) and M2(F2[i]) by analogy with the ℤ4 case. We give the factorization of X⁷ + 1 over M2(F2) and we propose a new factorization of X^m + 1 over M2(F2[i]) for tow coprime polynomials.

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2011 11th Mediterranean Microwave Symposium (MMS)

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