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GHWs of Codes Arising from Cartesian Product of Graphs.

Authors :
Maimani, Hamid Reza
Mohammadpour Sabet, Maryam
Source :
Bulletin of the Malaysian Mathematical Sciences Society. Jul2022, Vol. 45 Issue 4, p1689-1709. 21p.
Publication Year :
2022

Abstract

The rth generalized Hamming weight of a linear [n, k] code C is the cardinality of the smallest support of any r-dimensional subcode of C. In this paper, we obtain the generalized Hamming weights of the binary linear codes whose parity check matrices are the incidence matrices of the Cartesian product of graphs. We also determine the rth generalized Hamming weights of their dual codes. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01266705
Volume :
45
Issue :
4
Database :
Academic Search Index
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Publication Type :
Academic Journal
Accession number :
157304996
Full Text :
https://doi.org/10.1007/s40840-022-01280-6