Bases of rectangular codes

Vladimir Sidorenko, Johannes Maucher, Martin Bossert

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate general properties of rectangular codes. The class of rectangular codes includes all linear, group, and many non-group codes. We define a basis of a rectangular code. This basis gives a universal description of a rectangular code. The rectangular algebra is defined. We show that all bases of a length-2 rectangular code have the same cardinality. Bounds on cardinality of a basis of a rectangular code are given. We present a simple procedure to get rectangular basis of a linear code from its generator matrix.

Original languageEnglish
Pages (from-to)30
Number of pages1
JournalIEEE International Symposium on Information Theory - Proceedings
DOIs
Publication statusPublished - 2000
Externally publishedYes

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