ScholarLens Back to search
1973•IEEE Transactions on Information TheoryRequires access

A (48, 31, 8) linear code (Corresp.)

V. Venkat Rao, Sane Umesh Reddy

Open publisher page 13 citations

Abstract

In this paper we construct a linear code having length 48, minimum distance 8, and containing2^{31}codewords. This code is obtained by augmenting a (48,22,8) linear code with2^9- 1 cosets so that the minimum distance is not reduced. The (48,22,8) code used is the direct product of a (16,11,4) extended Hamming code and a (3,2,2) single-parity-check code. The new code has twice as many codewords as the best linear or nonlinear code previously known.

About this research paper

What this paper is about

In this paper we construct a linear code having length 48, minimum distance 8, and containing2^{31}codewords. This code is obtained by augmenting a (48,22,8) linear code with2^9- 1 cosets so that the minimum distance is not reduced. The (48,22,8) code used is the direct product of a (16,11,4) extended Hamming code and a (3,2,2) single-parity-check code. The new code has twice as many codewords as the best linear or nonlinear code previously known.

Why it matters

OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper we construct a linear code having length 48, minimum distance 8, and containing2^{31}codewords. This code is obtained by augmenting a (48,22,8) linear code with2^9- 1 cosets so that the minimum distance is not reduced. The (48,22,8) code used is the direct product of a (16,11,4) extended Hamming code and a (3,2,2) single-parity-check code. The new code has twice as many codewords as the best linear or nonlinear code previously known.

Key concepts: Code (set theory), Dual code, Hamming code, Constant-weight code, Cyclic code, Hamming distance, Polynomial code, Linear code

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
A (48, 31, 8) linear code (Corresp.) — Research Paper | ScholarLens