ISSN:
1573-7586
Keywords:
covering codes
;
football pool problem
;
mixed codes
;
simulated annealing
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract A table of upper bounds for K3,2(n1,n2;R), the minimum number of codewords in a covering code with n1 ternary coordinates, n2 binary coordinates, and covering radius R, in the range n = n1 + n2 ≤ 13, R ≤ 3, is presented. Explicit constructions of codes are given to prove the new bounds and verify old bounds. These binary/ternary covering codes can be used as systems for the football pool game. The results include a new binary code with covering radius 1 proving K2(13,1) ≤ 736, and the following upper bound for the football pool problem for 9 matches: K3(9,1) ≤ 1356.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008228721072
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