Habsieger, Laurent A new lower bound for the football pool problem for 7 matches. (English) Zbl 0866.94027 J. Théor. Nombres Bordx. 8, No. 2, 481-484 (1996). Summary: Let \(K_3(7,1)\) denote the minimum cardinality of a ternary code of length 7 and covering radius one. In a previous paper [J. Comb. Theory, Ser. A 67, No. 2, 199-222 (1994; Zbl 0815.94021)], we improved on the lower bound \(K_3(7,1)\geq 147\) by showing that \(K_3(7,1)\geq 150\). In this note, we prove that \(K_3(7,1)\geq 153\). MSC: 94B65 Bounds on codes 94B75 Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory Keywords:ternary code; covering radius Citations:Zbl 0815.94021 PDF BibTeX XML Cite \textit{L. Habsieger}, J. Théor. Nombres Bordx. 8, No. 2, 481--484 (1996; Zbl 0866.94027) Full Text: DOI Numdam EuDML EMIS OpenURL References: [1] Chen And, W.Honkala, I.S., Lower bounds for q-ary covering codes, IEEE Trans. Inform. Theory36 (1990), 664-671. · Zbl 0703.94014 [2] Cohen, G.D., Litsyn, S.N., Lobstein, A.C. and Mattson, H.F., Covering radius 1985-1994, preprint. · Zbl 0873.94025 [3] Habsieger, L., Lower bounds for q-ary coverings by spheres of radius one, J. Combin. Theory Ser. A 67 (1994), 199-222. · Zbl 0815.94021 [4] Habsieger, L., Binary codes with covering radius one: some new lower bounds, Discrete Mathematics, to appear. · Zbl 0898.94016 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.