Cyclic codes and quadratic residue codes over Z4

IEEE Transactions on Information Theory

Volumn 42, Issue 5, 1996, Pages 1594-1600

  Pless, Vera S ^a,b   Qian, Zhongqiang ^b  

^a IEEE

^b UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

Generators and idempotents of Z4 cyclic codes; Z4 quadratic residue codes

Indexed keywords

INFORMATION THEORY; NUMERICAL METHODS; POLYNOMIALS; SET THEORY; THEOREM PROVING;

CYCLIC CODES; NONLINEAR BINARY IMAGES; QUADRATIC RESIDUE CODES;

CODES (SYMBOLS);

EID: 0030243557     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.532906     Document Type: Article

References (12)

1. A. Bonnecaze, P. Solé, and A. R. Calderbank, "Quaternary quadratic residue codes and unimodular lattices," IEEE Trans. Inform. Theory, vol. 41, no. 2, pp. 366-377, Mar. 1995.
2. A. E. Brouwer and T. Verhoeff, "An updated table of minimum-distance bounds for binary linear codes," IEEE Trans. Inform. Theory, vol. 39, no. 2, pp. 662-675, Mar. 1993.
3. A. R. Calderbank and N. J. A. Sloane, "Modular and p-adic cyclic codes," Des., Codes and Cryptogr., vol. 6, pp. 21-35, 1995.
4. J. H. Conway and N. J. A. Sloane, "Self-dual codes over the integers modulo 4," J. Comb. Theory (A), vol. 62, pp. 30-45, Jan. 1993.
5. L. E. Dickson, Linear Groups. New York: Dover, 1958.
6. 4-linearity of Kerdock, Preparata, Goethals, and related codes," IEEE Trans. Inform. Theory, vol. 40, no. 2, pp. 301-319, Mar. 1994.
7. T. W. Hungerford, Algebra. New York: Springer-Verlag, 1974.
8. J. S. Leon, J. M. Masley, and V. Pless, "Duadic codes," IEEE Trans. Inform. Theory, vol. IT-30, no. 5, pp. 709-714, Sept. 1984.
9. F. J. MacWilliams and N. J. A.Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North Holland, 1978.
10. B. R. McDonald, Finite Rings with Identity. New York: Dekker, 1974.
11. V. Pless, Introduction to the Theory of Error-Correcting Codes. New York: Wiley-Interscience, 1989.
12. 4," Ph.D. dissertation, Univ. of Illinois at Chicago, 1996.