NEW CLASS OF DOUBLE INDUCTIVE ERROR CORRECTING CODES BASED ON THE CLASS OF GRM AND DGRM CODES OVER GF(2)

被引：0

作者：

Thakran, Seema ^{[1
]}

Tyagi, Vinod ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi, Shyam Lal Coll Eve, Dept Math, Delhi 110032, India

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2014年 / 6卷 / 01期

关键词：

Reed-Muller (RM) codes; generalised Reed-Muller (GRM) codes; dual of GRM (DGRM) codes; matrix algebra; punctured vector; mathematical techniques;

D O I：

10.1142/S1793830914500074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new class of codes over GF(2) is introduced. The codes have length n = 3/2 . 2(m) (m >= 4), and have a similar 'double inductive' structure to that possessed by the class of GRM and DGRM codes. The new codes are constructed in a way such that their length-to-distance ratio n/d = 2(m) (m >= 3).

引用

页数：14

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