MacWilliams Identities of Linear Codes with Respect to RT Metric over Mn×s(Fl+vFl+v2Fl)

Minjia SHI; Yan LIU; Patrick SOLÉ

doi:10.1587/transfun.E97.A.1810

MacWilliams Identities of Linear Codes with Respect to RT Metric over M_n×s(F_l+vF_l+v²F_l)

Minjia SHI, Yan LIU, Patrick SOLÉ

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Summary :

The Lee complete ρ weight enumerator and the exact complete ρ weight enumerator over M_n×s(F_l+vF_l+v²F_l)(v³=v) are defined, and the MacWilliams identities with respect to RT metric for these two weight enumerators of linear codes over M_n×s(F_l+vF_l+v²F_l) are obtained, respectively. Finally, we give two examples to illustrate the obtained results.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.8 pp.1810-1813

Publication Date: 2014/08/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E97.A.1810

Type of Manuscript: LETTER

Category: Coding Theory

Authors

Minjia SHI
  Anhui University
Yan LIU
  Anhui University
Patrick SOLÉ
  Telecom ParisTech

Keyword

RT metric, ρ weight enumerator, MacWilliams identity

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Minjia SHI, Yan LIU, Patrick SOLÉ, "MacWilliams Identities of Linear Codes with Respect to RT Metric over Mn×s(Fl+vFl+v2Fl)" in IEICE TRANSACTIONS on Fundamentals, vol. E97-A, no. 8, pp. 1810-1813, August 2014, doi: 10.1587/transfun.E97.A.1810.
Abstract: The Lee complete ρ weight enumerator and the exact complete ρ weight enumerator over M_n×s(F_l+vF_l+v²F_l)(v³=v) are defined, and the MacWilliams identities with respect to RT metric for these two weight enumerators of linear codes over M_n×s(F_l+vF_l+v²F_l) are obtained, respectively. Finally, we give two examples to illustrate the obtained results.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.1810/_p

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@ARTICLE{e97-a_8_1810,
author={Minjia SHI, Yan LIU, Patrick SOLÉ, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={MacWilliams Identities of Linear Codes with Respect to RT Metric over Mn×s(Fl+vFl+v2Fl)},
year={2014},
volume={E97-A},
number={8},
pages={1810-1813},
abstract={The Lee complete ρ weight enumerator and the exact complete ρ weight enumerator over M_n×s(F_l+vF_l+v²F_l)(v³=v) are defined, and the MacWilliams identities with respect to RT metric for these two weight enumerators of linear codes over M_n×s(F_l+vF_l+v²F_l) are obtained, respectively. Finally, we give two examples to illustrate the obtained results.},
keywords={},
doi={10.1587/transfun.E97.A.1810},
ISSN={1745-1337},
month={August},}

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TY - JOUR
TI - MacWilliams Identities of Linear Codes with Respect to RT Metric over Mn×s(Fl+vFl+v2Fl)
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1810
EP - 1813
AU - Minjia SHI
AU - Yan LIU
AU - Patrick SOLÉ
PY - 2014
DO - 10.1587/transfun.E97.A.1810
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2014
AB - The Lee complete ρ weight enumerator and the exact complete ρ weight enumerator over M_n×s(F_l+vF_l+v²F_l)(v³=v) are defined, and the MacWilliams identities with respect to RT metric for these two weight enumerators of linear codes over M_n×s(F_l+vF_l+v²F_l) are obtained, respectively. Finally, we give two examples to illustrate the obtained results.
ER -