A note on authentication codes from algebraic geometry

IEEE Transactions on Information Theory

Volumn 44, Issue 3, 1998, Pages 1342-1345

  Vlǎdul, Serge G ^a,b,c  

^a IEEE   (Russian Federation)

^b INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^c AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

Algebraic geometry codes; Authentication codes

Indexed keywords

ALGEBRA; ENCODING (SYMBOLS); ERROR CORRECTION; GEOMETRY; INFORMATION THEORY; SET THEORY; THEOREM PROVING;

ALGEBRAIC GEOMETRY CODES; AUTHENTICATION CODES; HAMMING DISTANCE;

CODES (SYMBOLS);

EID: 0032073871     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.669432     Document Type: Article

References (12)

1. L. Bassalygo and M. Burnashev, "Estimate of the maximal number of messages for a given probability of succesful deception," Probl. Inform. Transm.. vol. 30, no. 2, pp. 42-48, 1994.
2. J. Birbrauer, "Universal hashing and geometric codes," Des., Codes, and Crypt., vol. 11, pp. 207-221, 1997.
3. T. Johansson, G. Kabatianskii, and B. Smeets, "On the relation between A-codes and codes correcting independent errors," in Advances in Cryptology, Proc. Eurocrypt '93 (Lecture Notes in Computer Science, vol. 765) (Lofthus, Norway, 1993), T. Helleseth, Ed. New York: Springer, 1994, pp. 1-11.
4. G. Kabatianskii, B. Smeets, and T. Johansson, "On the cardinality of systematic authentication codes via error correcting codes," IEEE Trans. Inform. Theory, vol. 42, pp. 566-578, Mar. 1996.
5. E. N. Gilbert, F. J. MacWilliams, and N. J. A. Sloane, "Codes which detect deception," Bell Syst. Tech. J., vol. 53, no. 3, pp. 405-424, 1974.
6. J. L. Massey, "Contemporary cryptology, an introduction," in Contemporary Cryptology, The Science of Information Integrity, G. J. Simmons, Ed. New York: IEEE Press, 1991, pp. 3-39.
7. G. J. Simmons, "A game theory model of digital message authentication," Congr. Numer., vol. 34, pp. 413-424, 1992.
8. _, "A survey of information authentication," in Contemporary Cryptology, The Science of Information Integrity, G. J. Simmons, Ed. New York: IEEE Press, 1991.
9. D. R. Stinson, "Universal hashing and authentication codes," in Proc. Crypto '91 (Santa Barbara, CA, 1991), pp. 74-85.
10. M. A. Tsfasman and S. G. Vlǎdut, Algebraic-Geometric Codes. Dordrecht, The Netherlands: Kluwer, 1991.
11. S. G. Vlǎdut, "Two remarks on the spectra of algebraic geometry codes," in Arithmetic, Geometry and Coding Theory 4 (Luminy, France, 1993), M. Perret, R. Pellikaan, and S. G. Vlǎdut, Eds. Berlin, NY: W. de Gruyter, 1996, pp. 253-262.
12. S. G. Vlǎdut, "An exhaustion bound for algebraic-geometric modular codes," Probl. Inform. Transm., vol. 23, pp. 22-34, 1987.