| Title | STEINER SYSTEMS S(2, 4, 2m) SUPPORTED BY A FAMILY OF EXTENDED CYCLIC CODES |
| Author | |
| Corresponding Author | Wang, Q., I |
| Publication Years | 2022-08-01
|
| DOI | |
| Source Title | |
| ISSN | 1930-5346
|
| EISSN | 1930-5338
|
| Abstract | cyclic codes, J. Combin. Des. 26 (2018), no.3, 126-144], Ding constructed a family of Steiner systems S(2, 4, 2m) for all m = 2 (mod 4) > 6 from a family of extended cyclic codes. The objective of this paper is to present a family of Steiner systems S(2, 4, 2m) for all m = 0 (mod 4) > 4 supported by this family of extended cyclic codes. The main result of this paper complements the previous work of Ding, and the results in the two papers will show that there exists a binary extended cyclic code that can support a Steiner system S(2, 4, 2m) for all even m > 4. Furthermore, this paper also determines the parameters of other 2-designs supported by this family of extended cyclic codes. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| WOS Research Area | Computer Science
; Mathematics
|
| WOS Subject | Computer Science, Theory & Methods
; Mathematics, Applied
|
| WOS Accession No | WOS:000864582900001
|
| Publisher | |
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/405959 |
| Department | Department of Computer Science and Engineering |
| Affiliation | Southern Univ Sci & Technol, Dept Comp Sci & Engn, Shenzhen 518055, Guangdong, Peoples R China |
| First Author Affilication | Department of Computer Science and Engineering |
| Corresponding Author Affilication | Department of Computer Science and Engineering |
| First Author's First Affilication | Department of Computer Science and Engineering |
| Recommended Citation GB/T 7714 |
Wang, Q., I. STEINER SYSTEMS S(2, 4, 2m) SUPPORTED BY A FAMILY OF EXTENDED CYCLIC CODES[J]. Advances in Mathematics of Communications,2022.
|
| APA |
Wang, Q., I.(2022).STEINER SYSTEMS S(2, 4, 2m) SUPPORTED BY A FAMILY OF EXTENDED CYCLIC CODES.Advances in Mathematics of Communications.
|
| MLA |
Wang, Q., I."STEINER SYSTEMS S(2, 4, 2m) SUPPORTED BY A FAMILY OF EXTENDED CYCLIC CODES".Advances in Mathematics of Communications (2022).
|
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