The Football Pool Problem for 7 and 8 Matches
نویسندگان
چکیده
Let k3(n) denote the minimal cardinality of a ternary code of length n and covering radius one. In this paper we show k3(7) ≥ 156 and k3(8) ≥ 402 improving on the best previously known bounds k3(7) ≥ 153 and k3(8) ≥ 398. The proofs are founded on a recent technique of the author for dealing with systems of linear inequalities satisfied by the number of elements of a covering code, that lie in kdimensional subspaces of F3 .
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 35 شماره
صفحات -
تاریخ انتشار 1983