The partial order of perfect codes associated to a perfect code

Olof Heden

doi:10.3934/amc.2007.1.399

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2007, Volume 1, Issue 4: 399-412. Doi: 10.3934/amc.2007.1.399

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The partial order of perfect codes associated to a perfect code

Olof Heden^1,

1.
Department of Mathematics, KTH, Stockholm, Sweden S-100 44

Received: February 28, 2007

Revised: September 30, 2007

Published: October 2007

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Abstract

It is clarified whether or not ''full rank perfect 1-error correcting binary codes act like primes in the family of all perfect 1-error correcting binary codes''. Thereby the well known connection between perfect 1-error correcting binary codes and tilings will be discussed and used.

Keywords:

Perfect codes,
tiles.

Mathematics Subject Classification: Primary: 94B25.

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