Compression mappings on primitive sequences over Z/(pe)

IEEE Transactions on Information Theory

Volumn 50, Issue 10, 2004, Pages 2442-2448

  Zhu, Xuan Yong ^a   Qi, Wen Feng ^a  

^a INFORMATION ENGINEERING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; MATHEMATICAL MODELS; POLYNOMIALS; THEOREM PROVING; VECTORS;

COMPRESSING MAPPING; INTEGER RESIDUE RING; LINEAR RECURING SEQUENCE; PRIMITIVE SEQUENCE;

INFORMATION THEORY;

EID: 5144231058     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.834791     Document Type: Article

References (19)

1. Z. D. Dai, "Binary sequences derived from ML-sequences over rings I: Periods and minimal polynomials," J. Cryptology, vol. 5, no. 4, pp. 193-207, 1992.
2. Z. D. Dai, T. Beth, and D. Gollman, "Lower bounds for the linear complexity of sequences over residue ring," in Advances in Cryptology - EUROCRYPT'90 (Lecture Notes in Computer Science). Berlin/Heidelberg, Germany: Springer-Verlag, 1991, vol. 473, pp. 189-195.
3. d)," Chinese Sci. Bull., vol. 36, pp. 892-895, 1991.
4. B. R. McDonald, Finite Rings with Identity. New York: Marcel Dekker, 1974.
5. M. Q. Huang and Z. D. Dai, "Projective maps of linear recurring sequences with maximal p-adic periods," Fibonacci Quart., vol. 30, no. 2, pp. 139-143, 1992.
6. M. Q. Huang, "Analysis and cryptologic evaluation of primitive sequences over an integer residue ring," Ph.D. dissertation, Graduate School of USTC, Academia Sinica, Beijing, China, 1988.
7. d ," Sci. in China, Ser. A, vol. 35, pp. 271-275, 1992.
8. V. L. Kurakin, A. S. Kuzmin, A. V. Mikhalev, and A. A. Nechaev, "Linear recurring sequences over rings and modules," J. Math. Sci., vol. 76, no. 6, pp. 2793-2915, 1995.
9. A. S. Kuzmin and A. A. Nechaev, "Linear recurring sequences over Galois ring," Russian Math. Surv., vol. 48, pp. 171-172, 1993.
10. A. S. Kuzmin, "Low estimates for the ranks of coordinate sequences of linear recurrent sequences over primary residue rings of integers," Russian Math. Surv., vol. 48, pp. 203-204, 1993.
11. R. Lidl and H. Niederreiter, "Finite fields," in Encyclopedia of Mathematics and its Applications. Cambridge, U.K.: Cambridge Univ. Press, 1983, vol. 20.
12. J. L. Massey, "Shift-register synthesis and BCH decoding," IEEE Trans. Inform. Theory, vol. IT-15, pp. 122-127, Jan. 1969.
13. e)," in Advances in Cryptology - ASIACRYPT'98 (Lecture Notes in Computer Science). Berlin/Heidelberg, Germany: Springer-Verlag, 1998, vol. 1514, pp. 315-325.
14. e) and analysis of their derivative sequences," Ph.D. dissertation, Zhengzhou Inform. Eng. Univ., Zhengzhou, China, 1997.
15. e) and its Galois extension," Finite Fields and Their Applic., vol. 8, no. 4, pp. 570-588, Oct. 2002.
16. e)," Sci. in China, Ser. A, vol. 40, no. 6, pp. 606-611, 1997.
17. e)(II)," Chinese Sci. Bull., vol. 43, no. 8, pp. 633-635, 1998.
18. J. A. Reeds and N. J. A. Sloane, "Shift-register synthesis (modulo m)," SIAM J. Comput., vol. 14, no. 3, pp. 505-513, Aug. 1985.
19. M. Ward, "The arithmetical theory of linear recurring series," Trans. Amer. Math. Soc., vol. 35, pp. 600-628, July 1933.