Binary Burst Error Correcting Cyclic Codes Designed with the Circulant Parity Check Matrix

Sina Vafi; Huu-Dung Pham

doi:10.1109/LCOMM.2012.052112.120768

Binary Burst Error Correcting Cyclic Codes Designed with the Circulant Parity Check Matrix

Sina Vafi, Huu-Dung Pham

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The letter presents binary cyclic codes with the maximum burst error correction capability. This is achieved based on the properties of circulant parity check matrix. Results conclude existence of codes with high minimum weight and rate greater than 0.28. It also gives cyclic product codes suitable for multiple burst and random error corrections.

Original language	English
Pages (from-to)	1277-1279
Number of pages	3
Journal	IEEE Communications Letters
Volume	16
Issue number	8
DOIs	https://doi.org/10.1109/LCOMM.2012.052112.120768
Publication status	Published - 2012

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@article{87316ffb1ef04aae84768073b028fa97,

title = "Binary Burst Error Correcting Cyclic Codes Designed with the Circulant Parity Check Matrix",

abstract = "The letter presents binary cyclic codes with the maximum burst error correction capability. This is achieved based on the properties of circulant parity check matrix. Results conclude existence of codes with high minimum weight and rate greater than 0.28. It also gives cyclic product codes suitable for multiple burst and random error corrections. ",

keywords = "Binary cyclic codes, Burst error correcting codes, Burst errors, Circulants, Cyclic code, Cyclic products, Minimum weight, Parity check matrices, Block codes, Matrix algebra, Error correction",

author = "Sina Vafi and Huu-Dung Pham",

year = "2012",

doi = "10.1109/LCOMM.2012.052112.120768",

language = "English",

volume = "16",

pages = "1277--1279",

journal = "IEEE Communications Letters",

issn = "1089-7798",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

number = "8",

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TY - JOUR

T1 - Binary Burst Error Correcting Cyclic Codes Designed with the Circulant Parity Check Matrix

AU - Vafi, Sina

AU - Pham, Huu-Dung

PY - 2012

Y1 - 2012

N2 - The letter presents binary cyclic codes with the maximum burst error correction capability. This is achieved based on the properties of circulant parity check matrix. Results conclude existence of codes with high minimum weight and rate greater than 0.28. It also gives cyclic product codes suitable for multiple burst and random error corrections.

AB - The letter presents binary cyclic codes with the maximum burst error correction capability. This is achieved based on the properties of circulant parity check matrix. Results conclude existence of codes with high minimum weight and rate greater than 0.28. It also gives cyclic product codes suitable for multiple burst and random error corrections.

KW - Binary cyclic codes

KW - Burst error correcting codes

KW - Burst errors

KW - Circulants

KW - Cyclic code

KW - Cyclic products

KW - Minimum weight

KW - Parity check matrices

KW - Block codes

KW - Matrix algebra

KW - Error correction

U2 - 10.1109/LCOMM.2012.052112.120768

DO - 10.1109/LCOMM.2012.052112.120768

M3 - Article

SN - 1089-7798

VL - 16

SP - 1277

EP - 1279

JO - IEEE Communications Letters

JF - IEEE Communications Letters

IS - 8

ER -

Binary Burst Error Correcting Cyclic Codes Designed with the Circulant Parity Check Matrix

Abstract

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