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Linear codes associated to determinantal varieties in the space of hermitian matrices.

Authors :
Singh, Kanchan
Pathak, Ritesh Kumar
Singh, Sheo Kumar
Source :
Designs, Codes & Cryptography; Jun2024, Vol. 92 Issue 6, p1619-1635, 17p
Publication Year :
2024

Abstract

We introduce a new class of linear codes over a finite field associated to determinantal varieties in the space of hermitian matrices and determine their length, dimension and minimum distance along with the weight spectrum. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
LINEAR codes
FINITE fields

Details

Language :
English
ISSN :
09251022
Volume :
92
Issue :
6
Database :
Complementary Index
Journal :
Designs, Codes & Cryptography
Publication Type :
Academic Journal
Accession number :
177310006
Full Text :
https://doi.org/10.1007/s10623-024-01360-7