Weight Enumerator for Second-Order Reed-Muller Codes

IEEE Transactions on Information Theory

Volumn 16, Issue 6, 1970, Pages 745-751

  Sloane, Neil J A ^a   Berlekamp, Elwyn R ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84938443651     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1970.1054553     Document Type: Article

References (6)

1. E. R. Berlekamp, Algebraic Coding Theory. New York: McGraw-Hill 1968.
2. E. R. Berlekamp and N. J. A. Sloane, “Restrictions on weight distribution of Reed-Muller codes,” Inform. and Control, vol. 14, pp. 442–456, May 1969.
3. L. E. Dickson, Linear Groups with an Exposition of the Galois Field Theory. New York: Dover, 1958.
4. T. Kasami, “Weight distribution of BCH codes,” in Proc. Conf. on Combinatorial Mathematics and Its Applications, R. C. Bose and T. A. Dowling, Eds. Chapel Hill, N. C. University of North Carolina Press, 1969, ch. 20.
5. R. J. McEliece, “Linear recurring sequences over finite fields,” Ph.D. dissertation, Dept. of Math., California Institute of Technology, Pasadena, 1967.
6. R. J. McEliece, “Quadratic forms over finite fields and second-order Reed-Muller codes,” Jet Propulsion Lab., California Institute of Technology, Pasadena, Space Program Summary, vol. 3, 37–58, pp. 28–33, 1969.