A new lower bound for the football pool problem for 7 matches
Laurent Habsieger
Journal de Théorie des Nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 481-484.

Notons K 3 (7,1) le cardinal minimal d’un code ternaire de longueur 7 et de rayon de recouvrement un. Dans un précédent article, nous avons amélioré la minoration K 3 (7,1)≥147 en montrant que K 3 (7,1)≥150. Dans cette note, nous prouvons que K 3 (7,1)≥153.

Let K 3 (7,1) denote the minimum cardinality of a ternary code of length 7 and covering radius one. In a previous paper, we improved on the lower bound K 3 (7,1)≥147 by showing that K 3 (7,1)≥150. In this note, we prove that K 3 (7,1)≥153.

@article{JTNB_1996__8_2_481_0,
     author = {Habsieger, Laurent},
     title = {A new lower bound for the football pool problem for $7$ matches},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {481--484},
     publisher = {Universit\'e Bordeaux I},
     volume = {8},
     number = {2},
     year = {1996},
     doi = {10.5802/jtnb.183},
     zbl = {0866.94027},
     mrnumber = {1438484},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.183/}
}
Laurent Habsieger. A new lower bound for the football pool problem for $7$ matches. Journal de Théorie des Nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 481-484. doi : 10.5802/jtnb.183. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.183/

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