On Generalized Hamming Weights of BCH Codes

IEEE Transactions on Information Theory

Volumn 40, Issue 2, 1994, Pages 543-546

  der Geer, Gerard van ^a   der Vlugt, Marcel van ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b LEIDEN UNIVERSITY   (Netherlands)

Author keywords

BCH codes; elliptic curves; Generalized Hamming weights; supersingular curves

Indexed keywords

CODING ERRORS; COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTER SOFTWARE; EIGENVALUES AND EIGENFUNCTIONS; ERROR CORRECTION; GEOMETRY; INFORMATION THEORY; MATRIX ALGEBRA; POLYNOMIALS; SET THEORY; THEOREM PROVING; WORD PROCESSING;

CODING THEORY; ELLIPTIC CURVES; GENERALIZED HAMMING WEIGHTS; SUPERSINGULAR CURVES;

CODES (SYMBOLS);

EID: 0028384361     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.312183     Document Type: Article

References (5)

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2. G. van der Geer and M. van der Vlugt, “Reed-Muller codes and supersingular curves I,” Compositio Math., vol. 84, pp. 333-367, 1992.
3. T. Helleseth, “On the covering radius of cyclic linear codes and arithmetic codes,” Discrete Appl. Math., vol. 11, pp. 157-173, 1985.
4. J. Silverman, “The arithmetic of elliptic curves,” Grad. Texts in Math., vol. 106, New York: Springer-Verlag, 1986.
5. V. K. Wei, “Generalized Hamming weights for linear codes,” IEEE Trans. Inform. Theory, vol. 37, pp. 1412-1418, 1991.