Additive bases of vector spaces over prime fields

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چکیده

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Additive bases of vector spaces over prime fields

Let Z; be the n-dimensional linear space over the prime field Z,. An additive basis of Z; is a multiset {x,, . . . . x,} c Z;, such that any XE Z; is representable as a Ckl combination of the x;s. Let j(p, n) denote the mmima1 integer t, such that for any t (linear) bases B,, . . . . B, of Z;, the union (with repetitions) vi= r Bi forms an additive basis of Z;. The problem of determining or est...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1991

ISSN: 0097-3165

DOI: 10.1016/0097-3165(91)90045-i