On counting subring-submodules of free modules over finite commutative frobenius rings

被引：2

作者：

Bandi, Ramakrishna ^{[1
]}

Tabue, Alexandre Fotue ^{[2
]}

Martinez-Moro, Edgar ^{[3
]}

机构：

[1] Int Inst Informat Technol Naya Raipur, Dept Math, Naya Raipur, Chhattisgarh, India

[2] Univ Yaounde I, Res & Training Unit Doctorate Math, Comp Sci & Applicat, Yaounde, Cameroon

[3] Univ Valladolid, Inst Math, Valladolid, Spain

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2018年 / 86卷 / 10期

关键词：

Finite commutative Frobenius ring; Galois extension; Trace map; Module; Chinese remainder theorem; CODES;

D O I：

10.1007/s10623-017-0446-1

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let be a finite commutative Frobenius ring and a Galois extension of of degree m. For positive integers k and , we determine the number of free -submodules of with the property and . This corrects the wrong result (Bill in Linear Algebr Appl 22:223-233, 1978, Theorem 6) which was given in the language of codes over finite fields.

引用

页码：2247 / 2254

页数：8

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