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- W2163113459 abstract "A relationship between $s$-extremal singly even self-dual $[24k+8,12k+4,4k+2]$ codes and extremal doubly even self-dual $[24k+8,12k+4,4k+4]$ codes with covering radius meeting the Delsarte bound, is established. As an example of the relationship, $s$-extremal singly even self-dual $[56,28,10]$ codes are constructed for the first time. In addition, we show that there is no extremal doubly even self-dual code of length $24k+8$ with covering radius meeting the Delsarte bound for $k ge 137$. Similarly, we show that there is no extremal doubly even self-dual code of length $24k+16$ with covering radius meeting the Delsarte bound for $k ge 148$." @default.
- W2163113459 created "2016-06-24" @default.
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- W2163113459 date "2017-11-01" @default.
- W2163113459 modified "2023-09-23" @default.
- W2163113459 title "On s -extremal singly even self-dual [24 k + 8,12 k + 4,4 k + 2] codes" @default.
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- W2163113459 doi "https://doi.org/10.1016/j.ffa.2017.08.008" @default.
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