Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582874 | Finite Fields and Their Applications | 2014 | 8 Pages |
Abstract
We consider restricted sumsets over field F. LetC={a1+â¯+an:a1âA1,â¦,anâAn,aiâajâSijifiâ j}, where Sij(1⩽iâ j⩽n) are finite subsets of F with cardinality m, and A1,â¦,An are finite nonempty subsets of F with |A1|=â¯=|An|=k. Let p(F) be the additive order of the identity of F. It is proved that |C|⩾minâ¡{p(F),n(kâ1)âmn(nâ1)+1} if p(F)>mn. This conclusion refines the result of Hou and Sun [11].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lilu Zhao,