On the intersection of ℤ2ℤ4-Additive perfect codes

IEEE Transactions on Information Theory

Volumn 54, Issue 3, 2008, Pages 1346-1356

  Rifà, Josep ^a   Solov'eva, Faina Ivanovna ^b   Villanueva, Mercè ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b NOVOSIBIRSK STATE UNIVERSITY   (Russian Federation)

Author keywords

Additive codes; Extended perfect codes; Intersection; Perfect codes

Indexed keywords

BOUNDARY CONDITIONS; DATA COMMUNICATION SYSTEMS; PARAMETERIZATION;

ADDITIVE CODES; CODEWORDS; INTERSECTION NUMBER; LOWER AND UPPER BOUNDS; PERFECT CODES;

CODES (SYMBOLS);

EID: 40949119917     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2007.915917     Document Type: Article

References (16)

1. S. V. Avgustinovich, O. Heden, and F. I. Solov'eva, "On intersections of perfect binary codes," Bayreuth. Math. Schr., vol. 71, pp. 8-13, 2005.
2. S. V. Avgustinovich, O. Heden, and F. I. Solov'eva, "On intersection problem for perfect binary codes," Des. Codes Cryptogr., vol. 39, pp. 317-322, 2006.
3. E. Bar-Yahalom and T. Etzion, "Intersection of isomorphic linear codes," J. Combin. Theory, ser. A, vol. 80, pp. 247-256, 1997.
4. 4-Linear Codes UAB, Spain, Tech. Rep. PIRDI-3/02, 2002.
5. 4-Linear codes: Generator matrices and duality," IEEE Trans. Inf. Theory, 2007, submitted for publication.
6. J. Borges and J. Rofà, "A characterization of 1-additive perfect codes," IEEE Trans. Inf. Theory, vol. 45, pp. 1688-1697, 1999.
7. P. Delsarte, "An algebraic approach to the association schemes of coding theory," Philips Res. Rep. Suppl., vol. 10, 1973.
8. T. Etzion and A. Vardy, "On perfect codes and tilings: Problems and solutions," SIAM I. Discr. Math., vol. 11, no. 2, pp. 205-223, 1998.
9. 4-linearity of Kerdock, Preparata, Goethals and related codes," IEEE Trans. Inf.. Theory, vol. 40, pp. 301-319, 1994.
10. W. C. Huffman and V. Pless, Fundamentals of Error-Correcting Codes Cambridge, U.K.: Cambridge University Press, 2003.
11. 4-linear perfect codes," (in Russian) Discr. Anal. Oper. Res., Novosibirsk, Institute of Math. SB RAS, vol. 7, no. 4, pp. 78-90, 2000.
12. 4-linear Hadamard and extended perfect codes," in Proc. Int. Workshop Coding Cryptogr., Paris, France, Jan. 8-12, 2001, pp. 329-334.
13. K. T. Phelps and M. Villanueva, "Intersection of Hadamard codes," IEEE Trans. Inf. Theory, vol. 53, pp. 1924-1928, 2007.
14. J. Rifà and J. Pujol, "Translation invariant propelinear codes," IEEE Trans. Inf. Theory, vol. 43, pp. 590-598, 1997.
15. J. Rifà, F. I. Solov'eva, and M. Villanueva, "On the intersection of additive extended and nonextended perfect codes," in Proc. Int. Workshop on Coding Cryptogr., Versailles, France, Apr. 16-20, 2007, pp. 333-341.
16. F. I. Solov'eva and A. V. Los', "On intersections of q-ary perfect codes," in Proc. Tenth Int. Workshop on Algebr. Combin. Coding Theory, Zvenigorod, Russia, Sep. 3-9, 2006, pp. 244-247.