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An algorithm for optimal comma free codes with isomorphism rejection
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Symposium on Applied Computing archive
Proceedings of the 2009 ACM symposium on Applied Computing table of contents
Honolulu, Hawaii
POSTER SESSION: Poster papers table of contents
Pages 1007-1008  
Year of Publication: 2009
ISBN:978-1-60558-166-8
Authors
Hao Wang  Michigan Technological University, Houghton, MI
Vladimir D. Tonchev  Michigan Technological University, Houghton, MI
Sponsor
SIGAPP: ACM Special Interest Group on Applied Computing
Publisher
ACM  New York, NY, USA
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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.

 
1
L. J. Cumming, A Family of Circular Systematic Comma-Free Codes, submitted.
 
2
S. W. Golomb, B. Gordon, and L. R. Welch, Comma-free Codes, Canad. J. Math., 10 (1958), 202--209.
 
3
V. I. Levenshtein, One Method of Constructing Quasi Codes Providing Synchronization in the Presence of Errors, Problems of Information Transmission, 7 (1971), 215--222.
 
4
V. I. Levenshtein, Combinatorial Problems Motivated by Comma-free Codes, Journal of Combinatorial Designs, 12 (2004), 184--196.
 
5
Y. Mutoh, and V. D. Tonchev, Difference Systems of Sets and Cyclotomy, Discrete Mathematics, 308 (2008), 2959--2969.
 
6
V. D. Tonchev, Difference Systems of Sets and Code Synchronization, Rendiconti del Semina rio Matematico di Messina, Series II, 9 (2003), 217--226.
 
7
V. D. Tonchev, Partitions of Difference Sets and Code Synchronization, Finite Fields and their Applications, Finite Fields and Their Appl. 11 (2005), 601--621.
 
8
V. D. Tonchev and H. Wang, An Algorithm for Optimal Difference Systems of Sets, J. Combin. Optimization, 14 (2007), 165--175.
 
9
V. D. Tonchev and H. Wang, Optimal Difference Systems of Sets, Lecture Notes in Computer Science, 3967 (2006), 612--618.
 
10
H. Wang, A New Bound for Difference Systems of Sets, Journal of Combinatorial Mathematics and Combinatorial Computing, 58 (2006), 161--168.

Collaborative Colleagues:
Hao Wang: colleagues
Vladimir D. Tonchev: colleagues