Abstract | ||
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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 |
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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 Ghosh | 1 | 496 | 49.16 |
Joydeb Pal | 2 | 4 | 0.77 |
Lakshmi Kanta Dey | 3 | 1 | 1.09 |