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