Empirical evidence concerning AES

ACM Transactions on Modeling and Computer Simulation

Volumn 13, Issue 4, 2003, Pages 322-333

  Hellekalek, Peter ^a   Wegenkittl, Stefan ^a  

^a UNIVERSITY OF SALZBURG   (Austria)

Author keywords

AES; Block ciphers; Confusion; Diffusion; Statistical tests

Indexed keywords

ADVANCED ENCRYPTION STANDARD (AES); BLOCK CIPHERS; CONFUSION MATRIX; STOCHASTIC SIMULATION;

ALGORITHMS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; RANDOM NUMBER GENERATION; STATISTICAL TESTS; STOCHASTIC CONTROL SYSTEMS;

CRYPTOGRAPHY;

EID: 4243068589     PISSN: 10493301     EISSN: None     Source Type: Journal    
DOI: 10.1145/945511.945515     Document Type: Article

References (25)

1. CORON, J. S. AND NACCACHE, D. 1998. An accurate evaluation of Maurer's universal test. In Proceedings of Selected Areas in Cryptography 98. Lecture Notes in Computer Science, vol. 1556. Springer-Verlag, New York, 57-71.
2. DAEMEN, J. AND RIJMEN, V. 2002. The Design of Rijndael. Springer-Verlag, New York.
3. KNUTH, D. 1998. The Art of Computer Programming, Vol. 2, 3rd ed. Addison-Wesley, Reading, Mass.
4. L'ECUYER, P. AND HELLEKALEK, P. 1998. Random number generators: Selection criteria and testing. In Random and Quasi-Random Point Sets, P. Hellekalek and G. Larcher, Eds. Lecture Notes in Statistics, vol. 138. Springer-Verlag, New York, 223-266.
5. r. ACM Trans. Mod. Comput. Simul. 25, 3, 367-374.
6. L'ECUYER, P. AND SIMARD, R. 2002. TestU01: A Software Library in ANSI C for Empirical Testing of Random Number Generators. Départment d'Informatique et de Recherche Opérationelle, Université de Montréal. Software user's guide.
7. L'ECUYER, P., SIMAHD, R., CHEN, E. J., AND KELTON, W. D. 2002a. An object-oriented random-number package with many long streams and substreams. Oper. Res. 50, 6, 1073-1075.
8. L'ECUYER, P., SIMARD, R., AND WEGENKITTL, S. 2002b. Sparse serial tests of uniformity for random number generators. SIAM J. Sci. Comput. 24, 2, 652-668.
9. LEEB, H. AND WEGENKITTL, S. 1997. Inversive and linear congruential pseudorandom number generators in empirical tests. ACM Trans. Mod. Comput. Simul. 7, 2, 272-286.
10. MARSAGLIA, G. 1996. DIEHARD. http://stat.fsu.edu/~geo/diehard.html.
11. MATSUMOTO, M. AND KURITA, Y. 1994. Twisted GFSR generators II. ACM Trans. Mod. Comput. Simul. 4, 3, 254-266.
12. MATSUMOTO, M. AND NISHIMURA, T. 1998. Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator. ACM Trans. Mod. Comput. Simul. 8, 1, 3-30.
13. MAURER, U. 1992. A universal statistical test for random bit generators. J. Crypt. 5, 89-105.
14. MENEZES, A. J., VAN OORSCHOT, P. C., AND VANSTONE, S. 1997. Handbook of Applied Cryptography. CRC Press, Boca Raton.
15. NIST 2001a. Federal Information Processing Standards Publication (FIPS PUB) 197. NIST, National Institute of Standards and Technology. Available from http://csrc.nist.gov/publications.
16. NIST 2001b. A Statistical Test Suite for the Validation of Random Number Generators and Pseudo Random Number Generators for Cryptographic Applications. NIST, National Institute of Standards and Technology. Available from http://csrc.nist.gov/rng.
17. PINCUS, S. AND SINGER, B. H. 1998a. Randomness and degrees of irregularity. Proc. Natl. Acad. Sci. USA 93, 2083-2088.
18. PINCUS, S. AND SINGER, B. H. 1998b. A recipe for randomness. Proc. Natl. Acad. Sci. USA 95, 10367-10372.
19. SHANNON, C. E. 1949. Communication theory of secrecy systems. Bell Syst. Tech. J. 28, 657-715.
20. SPENCER, M. E. AND TRAVARES, S. E. 1984. A layered broadcast cryptographic system. In Proceedings of CRYPTO83, D. Chaum, Ed. Plenum Press, New York, 157-170.
21. WEGENKITTL, S. 1999. Monkeys, gambling, and return times: Assessing pseudorandomness. In Proceedings of the 1999 Winter Simulation Conference, P. Farrington, H. Nembhard, D. Sturrock, and G. Evans, Eds. IEEE Press, Piscataway, N.J., 625-631.
22. WEGENKITTL, S. 2001a. Entropy estimators and serial tests for ergodic chains. IEEE Trans. Inf. Theory 47, 6 (Sept.), 2480-2489.
23. WEGENKITTL, S. 2001b. Gambling tests for pseudorandom number generators. Math. Comput. Simul. 55, 1-3, 281-288.
24. WEGENKITTL, S. 2002. A generalized φ-divergence for asymptotically multivariate normal models. J. Multiva. Anal. 83, 288-302.
25. WEGENKITTL, S. AND MATSUMOTO, M. 1999. Getting rid of correlations among pseudorandom numbers: Discarding versus tempering. ACM Trans. Mod. Comput. Simul. 9, 3, 282-294.