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Construction of Certain Cyclic Distance-Preserving Codes Having Linear-Algebraic Characteristics
Authors:A. J. van Zanten  Agung Lukito
Affiliation:(1) Faculty of Technical Mathematics and Informatics, Delft University of Technology, P.O. Box 5031, 2600 GA DELFT, The Netherlands
Abstract:An ordered list of binary words of length n is called a distance-preserving langm, nrang-code, if the list distance between two words is equal to their Hamming distance, for distances up to m. A technique for constructing cyclic langm, nrang-codes is presented, based on the standard Gray code and on some simple tools from linear algebra.
Keywords:cyclic distance-preserving codes  cyclic difference-preserving codes  circuit codes  Gray code
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