Publ. Inst. Statist. Univ. Paris, 11, 1962, 57-66.
Dominique Foata
Sur la construction des plans factoriels fractionnés et certains codes correcteurs à l'aide des caractères des groupes abéliens
Abstract.
Bose has shown that the determination of the fundamental subgroup of a factorial experimental design and the construction of the alphabet of an error-correcting code could be reduced to the same problem. In its dual form the problem consists of constructing a matrix A with entries from a Galois field GF(s), having the property P_d that the rank of each set of d row vectors of the matrix A is equal to d. It is shown that such matrices can be obtained by using the theory of the characters of Abelian groups.
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foata@unistra.fr
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