An explicit expression for all distinct self-dual cyclic codes of length $$p^k$$ over Galois ring $$\mathrm{GR}(p^2,m)$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s00200-021-00507-6.pdf
Reference16 articles.
1. Blackford, T.: Cyclic codes over $${\mathbb{Z}}_4$$ of oddly even length. Discrete Appl. Math. 128, 27–46 (2003)
2. Cao, Y., Cao, Y., Li, Q.: The concatenated structure of cyclic codes over $${\mathbb{Z}}_{p^2}$$. J. Appl. Math. Comput. 52, 363–385 (2016)
3. Cao, Y., Cao, Y., Ling, S., Wang, G.: An explicit expression for Euclidean self-dual cyclic codes of length $$2^k$$ over Galois ring $${\rm GR}(4, m)$$. Finite Fields Appl. 72, 101817 (2021)
4. Cao, Y., Cao, Y., Dinh, H.Q., Wang, G., Sirisrisakulchai, J.: An explicit expression for Euclidean self-dual cyclic codes over $${\mathbb{F}}_{2^m}+u{\mathbb{F}}_{2^m}$$ of length $$2^s$$. Discrete Math. 344, 112323 (2021)
5. Cao, Y., Cao, Y., Dinh, H.Q., Jitman, S.: An efficient method for constructing self-dual cyclic codes of length $$p^s$$ over $${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$$. Discrete Math. 343, 111868 (2020)
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1. Construction of self-dual MDR cyclic codes over finite chain rings;Journal of Applied Mathematics and Computing;2022-06-12
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