Criterion for annihilating ideals of linear recurring sequences over Galois rings

Applicable Algebra in Engineering, Communications and Computing

Volumn 11, Issue 2, 2000, Pages 141-156

  Lu, Peizhong ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONFORMAL MAPPING; MATRIX ALGEBRA; SET THEORY; THEOREM PROVING; VECTORS;

ANNIHILATING IDEALS; ARTIN PRINCIPAL IDEAL RING; CYCLIC MODULES; GALOIS RINGS; GROBNER BASES; LINEAR RECURRING SEQUENCES; NECHAEV OPEN PROBLEM;

POLYNOMIALS;

EID: 0034314805     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002000000040     Document Type: Article

References (11)

1. Adams, W. W., Loustaunau, P.: An Introduction to Gröbner Bases. Rhode Island: Amer. Math. Society 1994
2. Atiyah, M. F., Macdonald, I. G.: Introduction to Commutative Algebra. Reading. MA: Addison-Wesley 1969
3. Calderbank, A. R., Sloane, J. A.: Modular and p-adic Cyclic Codes. Designs, Codes and Cryptography 6(1), 21-35 (1995)
4. Heiligman, M., Fu, D.: A Characterization of Zero-Dimensional Annihilators of Tableaus. J Algebra 193, 748-756 (1997)
5. Interlando, J. C., Palazzo, R. Jr., Elia, M.: On the Decoding of Reed-Solomon and BCH Codes over Integer Residue Rings, IEEE Trans. Inform. Theory. 43(3), 1013-1021 (1997)
6. Ernst Kunz: Introduction to Commutative Algebra and Algebraic Geometry. Boston: Birkhaüser 1985
7. Kurakin, V. L.: The Berlekamp-Massey algorithm over finite rings, modules, and bimodules. Discrete Math. Appl. 8(5), 441-474 (1998)
8. Kurakin, V. L., Kuzmin, A. S., Mikhalev, A. V., Nechaev, A. A.: LRS over rings and modules. J. Math. Sci. 76(6), 2793-2915 (1995)
9. Peizhong Lu: Theory of Linear Recurring Arrays over Commutative Rings. Doctoral Dissertation, Institute of Systems Science, Chines Academy of Sciences (1998)
10. Mikhavev, A. V., Nechaev, A. A.: Linear Recurrence Sequences over Modules. Acta Appl. Math. 42(2), 161-202 (1996)
11. Nechaev, A. A.: Linear Recurrence Sequences over Commutative Rings. Discrete Math. Appl. 2(6), 659-683 (1991)