Title
The Classification Of Self-Orthogonal Codes Of Length 42
Abstract
Self-orthogonal codes play an important role in constructing quantum-error-correcting codes. In this paper, we prove that if quasi-symmetric 2-(41, 9, 9) design exists, then it arises from self-orthogonal and self-complementary [41,19, 8] codes with dual distance of at least 5. Moreover, we emphasize the enumeration of inequivalent doubly-even codes with the needed dual distance and an automorphism of order 7. This is found to be precisely 8.
Year
DOI
Venue
2018
10.1142/S1793830918500830
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
Keywords
Field
DocType
Quasi-symmetric designs, self-orthogonal code, doubly-even code, automorphism
Discrete mathematics,Combinatorics,Automorphism,Enumeration,Mathematics
Journal
Volume
Issue
ISSN
10
6
1793-8309
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Debashis Ghosh149649.16
Joydeb Pal240.77
Lakshmi Kanta Dey311.09