Relations between the local weight distributions of a linear block code, its extended code, and its even weight subcode

IEEE International Symposium on Information Theory - Proceedings

Volumn 2005-January, Issue , 2005, Pages

  Yasunaga, Kenji ^a   Fujiwara, Toru ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; FORWARD ERROR CORRECTION;

BINARY LINEAR CODES; CODE-WORDS; LINEAR BLOCK CODE; REED-MULLER; REED-MULLER CODES; SUBCODES; THIRD ORDER; WEIGHT DISTRIBUTIONS;

BLOCK CODES;

EID: 33746608951     PISSN: 21578095     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2005.1523360     Document Type: Conference Paper

References (11)

1. E. Agrell, "Voronoi regions for binary linear block codes," IEEE Trans. Inform. Theory, vol.42, no.1, pp.310-316, Jan. 1996.
2. E. Agrell, "On the Voronoi Neighbor Ratio for Binary Linear Block Codes," IEEE Trans. Inform. Theory, vol.44, no.7, pp.3064-3072, Nov. 1998.
3. K. Yasunaga and T. Fujiwara, "The local weight distributions of the (128, 50) extended binary primitive BCH code and (128, 64) Reed-Muller code," IEICE Technical Report, IT2004-19, Jul. 2004.
4. K. Yasunaga and T. Fujiwara, "An algorithm for computing the local weight distribution of binary linear codes closed under a group of permutations," Proc. of ISITA2004, pp.846-851, Oct. 2004.
5. M. Mohri, and M. Morii, "On computing the local distance profile of binary cyclic codes," Proc. of ISITA2002, pp.415-418, Oct. 2002.
6. M. Mohri, Y. Honda, and M. Morii, "A method for computing the local weight distribution of binary cyclic codes," IEICE Trans.Fundamentals (Japanese Edition), vol.J86-A, no.1, pp.60-74, Jan. 2003.
7. G.D. Forney, Jr., "Geometrically uniform codes," IEEE Trans. Inform. Theory, vol.37, no.5, pp.1241-1260, Sept, 1991.
8. A. Ashikhmin and A. Barg, "Minimal vectors in linear codes," IEEE Trans. Inform. Theory, vol.44, no.5, pp.2010-2017, Sept. 1998.
9. F.J. MacWilliams and N.J.A. Sloane, The theory of error-correcting codes, North-Holland, 1977.
10. W.W. Peterson and E. J. Weldon, Jr., Error-correcting codes, 2nd Edition, MIT Press, 1972.
11. X. Hou, "GL(m, 2) acting on R(r, m)/R(r-1, m)," Discrete Mathematics, 149, pp.99-122, 1996.