Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s00200-022-00589-w.pdf
Reference35 articles.
1. MacWilliams, F.J., Odlyzko, A.M., Sloane, N.J.A.: Self-dual codes over $$\text{ GF }(4)$$. J. Combin. Theory Ser. A 25(3), 288–318 (1978). https://doi.org/10.1016/0097-3165(78)90021-3
2. Östergård, P.R.J.: There exists no Hermitian self-dual quaternary $$[26,13,10]_4$$ code. IEEE Trans. Inform. Theory 50(12), 3316–3317 (2004). https://doi.org/10.1109/TIT.2004.838349
3. Harada, M., Munemasa, A.: Classification of quaternary Hermitian self-dual codes of length 20. IEEE Trans. Inform. Theory 57(6), 3758–3762 (2011). https://doi.org/10.1109/TIT.2011.2134330
4. Yorgov, V.V., Russeva, R.P.: On the $$[24,12,8]$$ self-dual quaternary codes. J. Combin. Math. Combin. Comput. 44, 225–236 (2003)
5. Russeva, R.P.: Self-dual $$[24,12,8]$$ quaternary codes with a nontrivial automorphism of order 3. Finite Fields Appl. 8(1), 34–51 (2002). https://doi.org/10.1006/ffta.2001.0322
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