On linear equivalence and Phelps codes. Addendum

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August 2011, 5(3): 543-546. doi: 10.3934/amc.2011.5.543

On linear equivalence and Phelps codes. Addendum

1.	Department of Mathematics, KTH, S-100 44 Stockholm
2.	Åbylundsgatan 46, S-582 36 Linköping, Sweden

Received January 2011 Revised May 2011 Published August 2011

Abstract
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A new class of perfect 1-error correcting binary codes, so called RRH-codes, are identified, and it is shown that every such code is linearly equivalent to a perfect code obtainable by the Phelps construction.

Keywords: Phelps codes, Perfect codes, tilings..

Mathematics Subject Classification: Primary: 94B2.

Citation: Olof Heden, Martin Hessler. On linear equivalence and Phelps codes. Addendum. Advances in Mathematics of Communications, 2011, 5 (3) : 543-546. doi: 10.3934/amc.2011.5.543

References:

[1]	O. Heden and M. Hessler, On linear equivalence and Phelps codes,, Adv. Math. Commun., 4 (2010), 69. doi: 10.3934/amc.2010.4.69. Google Scholar
[2]	M. Hessler, Perfect codes as isomorphic spaces,, Discr. Math., 306 (2006), 1981. doi: 10.1016/j.disc.2006.03.039. Google Scholar

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References:

[1]	O. Heden and M. Hessler, On linear equivalence and Phelps codes,, Adv. Math. Commun., 4 (2010), 69. doi: 10.3934/amc.2010.4.69. Google Scholar
[2]	M. Hessler, Perfect codes as isomorphic spaces,, Discr. Math., 306 (2006), 1981. doi: 10.1016/j.disc.2006.03.039. Google Scholar

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