MacWilliams Type Identity for <I>M</I>-Spotty Rosenbloom-Tsfasman Weight Enumerator of Linear Codes over Finite Ring

Jianzhang CHEN; Wenguang LONG; Bo FU

doi:10.1587/transfun.E96.A.1496

MacWilliams Type Identity for M-Spotty Rosenbloom-Tsfasman Weight Enumerator of Linear Codes over Finite Ring

Jianzhang CHEN, Wenguang LONG, Bo FU

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Nowadays, error control codes have become an essential technique to improve the reliability of various digital systems. A new type error control codes called m-spotty byte error control codes are applied to computer memory systems. These codes are essential to make the memory systems reliable. Here, we introduce the m-spotty Rosenbloom-Tsfasman weights and m-spotty Rosenbloom-Tsfasman weight enumerator of linear codes over F_q[u]/(u^k) with u^k=0. We also derive a MacWilliams type identity for m-spotty Rosenbloom-Tsfasman weight enumerator.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.6 pp.1496-1500

Publication Date: 2013/06/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E96.A.1496

Type of Manuscript: LETTER

Category: Coding Theory

Authors

Jianzhang CHEN
  University of Electronic Science and Technology of China
Wenguang LONG
  Neijiang Normal University
Bo FU
  University of Electronic Science and Technology of China

Keyword

linear codes, m-spotty Rosenbloom-Tsfasman weights, MacWilliams identity

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Jianzhang CHEN, Wenguang LONG, Bo FU, "MacWilliams Type Identity for M-Spotty Rosenbloom-Tsfasman Weight Enumerator of Linear Codes over Finite Ring" in IEICE TRANSACTIONS on Fundamentals, vol. E96-A, no. 6, pp. 1496-1500, June 2013, doi: 10.1587/transfun.E96.A.1496.
Abstract: Nowadays, error control codes have become an essential technique to improve the reliability of various digital systems. A new type error control codes called m-spotty byte error control codes are applied to computer memory systems. These codes are essential to make the memory systems reliable. Here, we introduce the m-spotty Rosenbloom-Tsfasman weights and m-spotty Rosenbloom-Tsfasman weight enumerator of linear codes over F_q[u]/(u^k) with u^k=0. We also derive a MacWilliams type identity for m-spotty Rosenbloom-Tsfasman weight enumerator.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.1496/_p

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@ARTICLE{e96-a_6_1496,
author={Jianzhang CHEN, Wenguang LONG, Bo FU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={MacWilliams Type Identity for M-Spotty Rosenbloom-Tsfasman Weight Enumerator of Linear Codes over Finite Ring},
year={2013},
volume={E96-A},
number={6},
pages={1496-1500},
abstract={Nowadays, error control codes have become an essential technique to improve the reliability of various digital systems. A new type error control codes called m-spotty byte error control codes are applied to computer memory systems. These codes are essential to make the memory systems reliable. Here, we introduce the m-spotty Rosenbloom-Tsfasman weights and m-spotty Rosenbloom-Tsfasman weight enumerator of linear codes over F_q[u]/(u^k) with u^k=0. We also derive a MacWilliams type identity for m-spotty Rosenbloom-Tsfasman weight enumerator.},
keywords={},
doi={10.1587/transfun.E96.A.1496},
ISSN={1745-1337},
month={June},}

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TY - JOUR
TI - MacWilliams Type Identity for M-Spotty Rosenbloom-Tsfasman Weight Enumerator of Linear Codes over Finite Ring
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1496
EP - 1500
AU - Jianzhang CHEN
AU - Wenguang LONG
AU - Bo FU
PY - 2013
DO - 10.1587/transfun.E96.A.1496
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2013
AB - Nowadays, error control codes have become an essential technique to improve the reliability of various digital systems. A new type error control codes called m-spotty byte error control codes are applied to computer memory systems. These codes are essential to make the memory systems reliable. Here, we introduce the m-spotty Rosenbloom-Tsfasman weights and m-spotty Rosenbloom-Tsfasman weight enumerator of linear codes over F_q[u]/(u^k) with u^k=0. We also derive a MacWilliams type identity for m-spotty Rosenbloom-Tsfasman weight enumerator.
ER -