An infinite family of antiprimitive cyclic codes supporting Steiner systems $$S(3,8, 7^m+1)$$
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computer Science Applications
Link
https://link.springer.com/content/pdf/10.1007/s10623-022-01032-4.pdf
Reference26 articles.
1. Chien R.T.: Cyclic decoding procedure for the Bose-Chaudhuri-Hocquenghem codes. IEEE Trans. Inf. Theory 10(4), 357–363 (1964).
2. Ding C.: An infinite family of Steiner systems from cyclic codes. J. Comb. Des. 26, 127–144 (2018).
3. Ding C.: A sequence construction of cyclic codes over finite fields. Cryptogr. Commun. 10(2), 319–341 (2018).
4. Ding C.: Infinite families of 3-designs from a type of five-weight code. Des. Codes Cryptogr. 66(3), 703–719 (2018).
5. Ding C., Helleseth T.: Optimal ternary cyclic codes from monomials. IEEE Trans. Inf. Theory 59(9), 5898–5904 (2013).
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