On the Weight Structure of Reed-Muller Codes

IEEE Transactions on Information Theory

Volumn 16, Issue 6, 1970, Pages 752-759

  Kasami, Tadao ^a   Tokura, Nobuki ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

IETTA; INFORMATION THEORY; IS; REED-MULLER CODES;

EID: 0014870063     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1970.1054545     Document Type: Article

References (13)

1. D. E. Muller, “Applications of Boolean algebra to switching circuit design and to error detection,” IRE Trans. Electronic Computers. vol. EC-3, pp. 6–12, 1954.
2. T. Kasami, “Weight distribution of BCH codes,” Proc. of the Conf. on Combinational Mathematics and Its Applications, R. C. Bose and T. A. Dowling, Eds., 1967.
3. T. Kasami, S. Lin, and W. W. Peterson, “A new generalization of Reed-Muller codes,” IEEE Trans. Information Theory, vol. IT-14. pp. 189–199. March 1968.
4. T. Kasami, S. Lin, and W. W. Peterson, “Generalized Reed-Muller codes,” J. Inst, Electron. Comm. Eng. (Japan), vol. 51, pp. 98–105, March 1968.
5. N. J. Sloane, and E. R. Berlekamp, “The weight enumerator for second-order Reed-Muller codes,” IEEE Trans. Information Theory, this issue, pp, 745–751.
6. N. J. Sloane, and E. R. Berlekamp, “Restrictions on-weight distribution of Reed-Muller codes,” Inform. and Control, vol. 14, pp. 442–456, 1969.
7. T. Kasami, N. Tokura, and S. Hatanaka, “On the weight structure of Reed-Muller codes,” Inst. Electron. Comm. Eng., Japan, PGIT Rept., January 1969.
8. H. Enomoto and T. Ichikawa, “An optimizing method for embedding linear graph in N-cube,” Trans. Inst. Electron. Comm. Eng. (Japan), vol. C51, pp. 375–382, August 1968.
9. T. Kasami, S. Lin, and W. W. Peterson,”“Some results on cyclic codes which are invariant under the affine group,” Air Force Cambridge Res. Labs., Bedford, Mass., Sci. Rept. AFCRL-66-622, 1966
10. G. D. Forney, Jr., Concatenated Codes. Cambridge, Mass.: M.I.T. Press, 1966.
11. E. F. Assumus, H. F. Mattson, and R. Turyn, “Cyclic codes,” Air Force Cambridge Res. Labs., Bedford, Mass., Sci. Rept. AFCRL-65-322, 1965.
12. V. Pless, “Power moment identities on weight distributions in error correcting codes,” Inform. and Control, vol. 6, pp. 147–152, 1963.
13. E. R. Berlekamp, Algebraic Coding Theory. New York: McGraw-Hill, 1968, pp. 415–416.