# American Institute of Mathematical Sciences

2010, 4(1): 69-81. doi: 10.3934/amc.2010.4.69

## On linear equivalence and Phelps codes

 1 Department of Mathematics, KTH, Stockholm, Sweden S-100 44 2 Department of Mathematics, University of Linkping, Linkping, Sweden S-581 83, Sweden

Received  July 2009 Revised  October 2009 Published  February 2010

It is shown that all non-full-rank FRH-codes, a class of perfect codes we define in this paper, are linearly equivalent to perfect codes obtainable by Phelps' construction. Moreover, it is shown by an example that the class of perfect FRH-codes also contains perfect codes that are not obtainable by Phelps construction.
Citation: Olof Heden, Martin Hessler. On linear equivalence and Phelps codes. Advances in Mathematics of Communications, 2010, 4 (1) : 69-81. doi: 10.3934/amc.2010.4.69
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