Mixed Materials
MDSconstacyclic codes of length q + 1overGF(q)
| Τίτλος: | MDSconstacyclic codes of length q + 1overGF(q) |
|---|---|
| Additional Titles: | MDS constacyclic codes over finite fields are important in both theory and practice. In this paper, all [q + 1,2,q] and [q + 1,3,q − 1] MDS λ-constacyclic codes over GF(q) are characterized, three classes of [q + 1,4,q − 2] MDS λ-constacyclic codes over GF(q) are constructed, and four classes of [q + 1,k,q − k + 2] MDS λ-constacyclic codes over GF(q) for variable k are presented. Rationales for distinguishing the class of cyclic codes, the class of λ-constacyclic codes with λ≠ 1, and the class of non-constacyclic linear codes are given. Some applications of MDS codes in cryptography are also summarised. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. |
| Συγγραφείς: | Wang, Xiaoqiang, Ding, Cunsheng, Liu, Hongwei, Zheng, Dabin |
| Στοιχεία εκδότη: | Springer 2024 |
| Τύπος εγγράφου: | Mixed materials |
| Όροι ευρετηρίου: | Constacyclic code, Cryptography, Cyclic code, Linear code, MDS code, Article |
| Σύνδεσμος: | |
| Διαθεσιμότητα: | Open access content. Open access content |
| Σημείωση: | English |
| Other Numbers: | HNK oai:repository.hkust.edu.hk:1783.1-124450 Cryptography and Communications, v. 16, (1), January 2024, p. 21-48 1936-2447 1936-2455 1462192093 |
| Πηγή συνεισφοράς: | HONG KONG UNIV OF SCI & TECH, THE From OAIster®, provided by the OCLC Cooperative. |
| Αριθμός Καταχώρησης: | edsoai.on1462192093 |
| Βάση Δεδομένων: | OAIster |
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