Additive bases of vector spaces over prime fields

N. Alon*, N. Linial, R. Meshulam

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

It is shown that for any t > cplog n linear bases B1, ..., Bt of Zpn their union (with repetitions) ∪i = 1t Bi forms an additive basis of Zpn; i.e., for any x ε{lunate} Zpn there exist A1 ⊃ B1, ..., At ⊃ Bt such that x = Σi = 1t Σy ε{lunate} Ai y.

Original languageAmerican English
Pages (from-to)203-210
Number of pages8
JournalJournal of Combinatorial Theory. Series A
Volume57
Issue number2
DOIs
StatePublished - Jul 1991

Bibliographical note

Funding Information:
* Research supported in part by Allon Fellowship and by a Bat Sheva de Rothschild Grant. ’ Research supported in part by Air Force Office of Scientific Research Grant AFOSR-0271.

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