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Loop transversal codes take an alternative approach to the theory of error-correcting codes, placing emphasis on the set of errors that are to be corrected. Hitherto, the loop transversal code method has been restricted to linear codes. The goal of the current paper is to extend the conceptual framework of loop transversal codes to admit nonlinear codes. We present a natural example of this nonlinearity among perfect single-error correcting codes that exhibit efficient domination in a circulant graph, and contrast it with linear codes in a similar context.
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참고문헌 (10)
참고문헌 신청
R. Aydinyan / 2005 / Loop Transversal Codes over Finite Rings / ProQuest LLC
R. Aydinyan / 2006 / Loop transversal codes for error detection / J. Combin. Math. Combin. Comput 58:153~159
Dug-Hwan Choi / 2003 / Greedy loop transversal codes for correcting error bursts / Discrete Mathematics 264(1-3):37~43
F. -L. Hsu / 1996 / Logarithms, syndrome functions, and the information rates of greedy loop transversal codes / J. Combin. Math. Combin. Comput 22:33~49
F. A. Hummer / 1992 / Loop Transversal Codes / ProQuest LLC
R. Aydinyan / 2006 / Loop transversal codes for error detection / J. Combin. Math. Combin. Comput 58:153~159
Dug-Hwan Choi / 2003 / Greedy loop transversal codes for correcting error bursts / Discrete Mathematics 264(1-3):37~43
F. -L. Hsu / 1996 / Logarithms, syndrome functions, and the information rates of greedy loop transversal codes / J. Combin. Math. Combin. Comput 22:33~49
F. A. Hummer / 1992 / Loop Transversal Codes / ProQuest LLC
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