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- W2925438687 abstract "In [C. Ding, An infinite family of Steiner systems $S(2,4,2^m)$ from cyclic codes, {em J. Combin. Des.} 26 (2018), no.3, 126--144], Ding constructed a family of Steiner systems $S(2,4,2^m)$ for all $m equiv 2 pmod{4}$ from a family of extended cyclic codes. The objective of this paper is to present a family of Steiner systems $S(2,4,2^m)$ for all $m equiv 0 pmod{4}$ supported by a 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 $S(2,4,2^m)$ for all even $m geq 4$. This paper also determines the parameters of other $2$-designs supported by this family of extended cyclic codes." @default.
- W2925438687 created "2019-04-11" @default.
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- W2925438687 date "2019-04-04" @default.
- W2925438687 modified "2023-09-27" @default.
- W2925438687 title "Steiner systems $S(2,4,2^m)$ for $m equiv 0 pmod{4}$ supported by a family of extended cyclic codes" @default.
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