Some new constructions of MDS self-dual codes over finite fields
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Cramer, 2008, On codes, matroids and secure multi-party computation from linear secret sharing schemes, IEEE Trans. Inf. Theory, 54, 2647, 10.1109/TIT.2008.921692
Dau, 2013, Balanced sparsest generator matrices for MDS codes, 1889
Dougherty, 2008, Secret-sharing schemes based on self-dual codes, 338
Fang, 2019, New constructions of MDS Euclidean self-dual codes from GRS codes and extended GRS codes, IEEE Trans. Inf. Theory, 65, 5574, 10.1109/TIT.2019.2916367
Fang, 2020, New MDS self-dual codes over finite fields of odd characteristic, Des. Codes Cryptogr., 88, 1127, 10.1007/s10623-020-00734-x
Georgiou, 2002, MDS Self-dual codes over large prime fields, Finite Fields Appl., 8, 455, 10.1016/S1071-5797(02)90353-9
Grassl, 2008, On self-dual MDS codes, 1954
Guenda, 2012, New MDS self-dual codes over finite fields, Des. Codes Cryptogr., 62, 31, 10.1007/s10623-011-9489-x
Gulliver, 2008, New MDS or Near-MDS self-dual codes, IEEE Trans. Inf. Theory, 54, 4354, 10.1109/TIT.2008.928297
Jin, 2017, New MDS self-dual codes from generalized Reed-Solomon codes, IEEE Trans. Inf. Theory, 63, 1434, 10.1109/TIT.2016.2645759
Kim, 2004, MDS self-dual codes, 1872
Kim, 2004, Euclidean and Hermitian self-dual MDS codes over large finite fields, J. Comb. Theory, Ser. A, 105, 79, 10.1016/j.jcta.2003.10.003
Kokkala, 2015, On the classification of MDS codes, IEEE Trans. Inf. Theory, 61, 6485, 10.1109/TIT.2015.2488659
Lebed, 2019, Construction of MDS self-dual codes over finite fields, Finite Fields Appl., 59, 199, 10.1016/j.ffa.2019.05.007
Louidor, 2006, Lowest density MDS codes over extension alphabets, IEEE Trans. Inf. Theory, 52, 3186, 10.1109/TIT.2006.876235
Massey, 1995, Some applications of coding theory in cryptography, 33
Tong, 2017, New MDS Euclidean and Hermitian self-dual codes over finite fields, Adv. Pure Math., 7, 325, 10.4236/apm.2017.75019
Yan, 2019, A note on the construction of MDS self-dual codes, Cryptogr. Commun., 11, 259, 10.1007/s12095-018-0288-3
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