Title of article :
Perfect codes as isomorphic spaces
Author/Authors :
Martin Hessler، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Pages :
7
From page :
1981
To page :
1987
Abstract :
Linear equivalence between perfect codes is defined. This definition gives the concept of general perfect 1-error correcting binary codes. These are defined as 1-error correcting perfect binary codes, with the difference that the set of errors is not the set of weight one words, instead any set with cardinality n and full rank is allowed. The side class structure defines the restrictions on the subspace of any general 1-error correcting perfect binary code. Every linear equivalence class will contain all codes with the same length, rank and dimension of kernel and all codes in the linear equivalence class will have isomorphic side class structures.
Keywords :
Perfect codes , Dual codes , classification
Journal title :
Discrete Mathematics
Serial Year :
2006
Journal title :
Discrete Mathematics
Record number :
948045
Link To Document :
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