Title

A geometric non-existence proof of an extremal additive code

Document Type

Article

Publication Date

2-1-2010

Abstract

We use a geometric approach to solve an extremal problem in coding theory. Expressed in geometric language we show the non-existence of a system of 12 lines in PG (8, 2) with the property that no hyperplane contains more than 5 of the lines. In coding-theoretic terms this is equivalent with the non-existence of an additive quaternary code of length 12, binary dimension 9 and minimum distance 7. © 2009 Elsevier Inc. All rights reserved.

Publication Title

Journal of Combinatorial Theory. Series A

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