| An algorithm for optimal comma free codes with isomorphism rejection |
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Symposium on Applied Computing
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Proceedings of the 2009 ACM symposium on Applied Computing
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Honolulu, Hawaii
POSTER SESSION: Poster papers
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Pages 1007-1008
Year of Publication: 2009
ISBN:978-1-60558-166-8
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Downloads (6 Weeks): 5, Downloads (12 Months): 20, Citation Count: 0
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ABSTRACT
A general algorithm for finding optimal comma-free codes and deriving upper bounds on the minimum redundancy of comma-free codes that implements the idea of isomorphism rejection is presented, together with tables with bounds on the minimum redundancy computed by using this algorithm.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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L. J. Cumming, A Family of Circular Systematic Comma-Free Codes, submitted.
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S. W. Golomb, B. Gordon, and L. R. Welch, Comma-free Codes, Canad. J. Math., 10 (1958), 202--209.
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V. I. Levenshtein, Combinatorial Problems Motivated by Comma-free Codes, Journal of Combinatorial Designs, 12 (2004), 184--196.
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Y. Mutoh, and V. D. Tonchev, Difference Systems of Sets and Cyclotomy, Discrete Mathematics, 308 (2008), 2959--2969.
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V. D. Tonchev, Difference Systems of Sets and Code Synchronization, Rendiconti del Semina rio Matematico di Messina, Series II, 9 (2003), 217--226.
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V. D. Tonchev, Partitions of Difference Sets and Code Synchronization, Finite Fields and their Applications, Finite Fields and Their Appl. 11 (2005), 601--621.
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V. D. Tonchev and H. Wang, An Algorithm for Optimal Difference Systems of Sets, J. Combin. Optimization, 14 (2007), 165--175.
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V. D. Tonchev and H. Wang, Optimal Difference Systems of Sets, Lecture Notes in Computer Science, 3967 (2006), 612--618.
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H. Wang, A New Bound for Difference Systems of Sets, Journal of Combinatorial Mathematics and Combinatorial Computing, 58 (2006), 161--168.
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