Title :
Using Graphs for the Analysis and Construction of Permutation Distance-Preserving Mappings
Author :
Swart, Theo G. ; Ferreira, Hendrik C. ; Ouahada, Khmaies
Author_Institution :
Johannesburg Univ., Auckland Park
Abstract :
A new way of looking at permutation distance-preserving mappings (DPMs) is presented by making use of a graph representation. The properties necessary to make such a graph distance-preserving, are also investigated. Further, this new knowledge is used to analyze previous constructions, as well as to construct a new general mapping algorithm for a previous multilevel construction.
Keywords :
encoding; graph theory; graph analysis; permutation coding; permutation distance-preserving mapping; Africa; Algorithm design and analysis; Binary codes; Binary sequences; Convolutional codes; Error correction; Error correction codes; Hamming distance; Performance evaluation; Upper bound; Code constructions; distance-preserving mappings (DPMs); graphs; permutation coding;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.913268
