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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): Jean Berstel and Dominique Perrin
Title: Theory of codes
Additional book information: Pure and Applied Mathematics, Vol. 117, Academic Press, Inc., New York, 1985, xiv + 433 pp., $60.00. ISBN 0-12-093420-5


References:

[BR] J. Berstel and C. Reutenauer, Rational series and their languages, EATCS Monographs on Theoretical Computer Science, Springer-Verlag, Berlin, to appear. MR 971022

[C] Y. Césari, Propriétés combinatoires des codes biprefix, in: D. Perrin (éd. ), Théorie des Codes, LITP, Paris, 1979, pp. 20-46.

[ER] A. Ehrenfeucht and G. Rozenberg, Each regular code is included in a regular maximal code, RAIRO Theor. Informatics and Appl. 20 (1986), 89-96. MR 849968

[Res] A. Restivo, On codes having no finite completions, Discret. Math. 17 (1977), 309-316. MR 498922

[Reu] C. Reutenauer, Noncommutative factorizations of variable length codes, J. Pure Appl. Alg. 36(1985), 167-186. MR 787171

[SP] A. A. Sardinas and C. W. Patterson, A necessary and sufficient condition for the unique decomposition of coded messages, IRE Intern. Conv. Rec. 8 (1953), 104-108.

[Sha] C. E. Shannon, The mathematical theory of communications, Bell. Syst. Techn. J. 27 (1948), 379-423, 623-656. MR 26286

[Sho] P. W. Shor, A counterexample to triangle conjecture, J. Combin. Theory Ser. A 38 (1985), 110-112. MR 773566

[Sc 1] M. P. Schützenberger, Une théorie algébrique du codage, Séminaire Dubreil-Pisot, 1955-1956, Exposé No. 15. MR 75169

[Sc 2] M. P. Schützenberger, On a question concerning certain free monoids, J. Combin. Theory 1 (1966), 417-422. MR 218145

[Sc 3] M. P. Schützenberger, On a special case of recurrent events, Ann. Math. Statist. 32 (1961), 1201-1213. MR 133894

[Sc 4] M. P. Schützenberger, Sur certains sous-mondïdes libres, Bull. Soc. Math. France 93 (1965), 209-223. MR 190253


Additional Information:

Reviewer(s):
Juhani Karhumäki

Review Information:
Journal: Bull. Amer. Math. Soc. 17 (1987), 161-167.
DOI: 10.1090/S0273-0979-1987-15550-9
PII: S 0273-0979(1987)15550-9


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