# American Institute of Mathematical Sciences

November  2007, 1(4): 399-412. doi: 10.3934/amc.2007.1.399

## The partial order of perfect codes associated to a perfect code

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

Received  March 2007 Revised  October 2007 Published  October 2007

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.
Citation: Olof Heden. The partial order of perfect codes associated to a perfect code. Advances in Mathematics of Communications, 2007, 1 (4) : 399-412. doi: 10.3934/amc.2007.1.399
 [1] Agnaldo José Ferrari, Tatiana Miguel Rodrigues de Souza. Rotated $A_n$-lattice codes of full diversity. Advances in Mathematics of Communications, 2020  doi: 10.3934/amc.2020118

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