[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b160842

ADDITIVE SELF-DUAL CODES OVER FIELDS OF EVEN ORDER

Dougherty, Steven T. (Department of Mathematics University of Scranton)
Kim, Jon-Lark (Department of Mathematics Sogang University)
Lee, Nari (Department of Mathematics Sogang University)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.2, 2018 , pp. 341-357 More about this Journal

Abstract

We examine various dualities over the fields of even orders, giving new dualities for additive codes. We relate the MacWilliams relations and the duals of ${\mathbb{F}}_{2^{2s}}$ codes for these various dualities. We study self-dual codes with respect to these dualities and prove that any subgroup of order $2^s$ of the additive group is a self-dual code with respect to some duality.

Keywords

additive codes; Hermitian inner-product; trace inner-product; self-dual codes;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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