Skip to main content
Log in

A Subclass of Binary Goppa Codes With Improved Estimation of the Code Dimension

  • Published:
Designs, Codes and Cryptography Aims and scope Submit manuscript

Abstract

A new bound for the dimension of binary Goppa codes belonging to a specific subclass is given. This bound improves the well-known lower bound for Goppa codes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. V. Bezzateev and N. A. Shekhunova, On the subcodes of one class Goppa codes: Proc. Intern. Workshop Algebraic and Combinatorial Coding Theory ACCT-1, Sept. (1988) pp. 143-146.

  2. S. V. Bezzateev and N. A. Shekhunova, Subclass of binary Goppa codes with minimal distance equal to the design distance, IEEE Trans. Inform. Theory, Vol. IT-41 March (1995).

  3. S. V. Bezzateev, N. A. Shekhunova and E. T. Mironchikov, One subclass of binary Goppa codes: Proc. XI Simp. po Probl. Izbit. v Inform. Syst., Jun. (1986) pp. 140-141.

  4. S. V. Bezzateev, N. A. Shekhunova and E. T. Mironchikov, Subclass of binary Goppa codes, Probl. Pered. Inform., Vol. 25 Oct. (1989) pp. 98-102.

    Google Scholar 

  5. V. D. Goppa, A new class of linear error correcting codes, Probl. Pered. Inform., Vol. 6 Sept. (1970) pp. 24-30.

    Google Scholar 

  6. V. D. Goppa, Rational representation of codes and (L,g) codes, Probl. Pered. Inform., Vol. 7 Sept. (1971) pp. 41-49.

    Google Scholar 

  7. M. Loeloeian and J. Conan, A (55,16,19) binary Goppa code, IEEE Trans. Inform. Theory, Vol. IT-30 Sept. (1984) pp. 773.

    Google Scholar 

  8. M. Loeloeian and J. Conan, A transform approach to Goppa codes, IEEE Trans. Inform. Theory, Vol. IT-33 Sept. (1987) pp. 105-115.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bezzateev, S.V., Shekhunova, N.A. A Subclass of Binary Goppa Codes With Improved Estimation of the Code Dimension. Designs, Codes and Cryptography 14, 23–38 (1998). https://doi.org/10.1023/A:1008252303768

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008252303768

Navigation