On the structure of Hermitian codes

Journal of Pure and Applied Algebra

Volumn 121, Issue 3, 1997, Pages 293-314

  Little, John ^a   Saints, Keith ^b   Heegard, Chris ^c  

^a Center for Interdisciplinary Studies   (United States)

^b Cornell University ^*  (United States)

^c School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031563672     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(96)00067-9     Document Type: Article

References (12)

1. W. Adams and P. Loustaunau, An Introduction to Gröbner Bases (American Mathematical Society, Providence RI, 1994).
2. D. Cox, J. Little and D. O'Shea, Ideals, Varieties, and Algorithms (Springer, New York, 1992).
3. C. Heegard, J. Little and K. Saints, Systematic encoding via Gröbner bases for a class of algebraic geometric Goppa codes, IEEE Trans. Inform. Theory, to appear.
4. C. Moreno, Algebraic Curves over Finite Fields (Cambridge University Press, Cambridge, 1991).
5. B.-Z. Shen, On encoding and decoding of the codes from Hermitian curves, in: N.J. Ganley, Ed., Cryptography and Coding III (Oxford University Press, Oxford, 1993).
6. H. Stichtenoth, Ueber die Automorphismengruppe eines algebraischen Funktionenkoerpers von Primzahlcharakteristik, Arch. der Math. XXIV (1973) 527-544.
7. 2), IEEE Trans. Inform. Theory 34 (1988) 1345-1348.
8. H. Stichtenoth, Algebraic Function Fields and Codes (Springer, Berlin, 1993).
9. H. Tiersma, Remarks on codes from Hermitian curves, IEEE Trans. Inform. Theory 33 (1987) 605-609.
10. J.H. van Lint, Introduction to Coding Theory (Springer, New York, 1982).
11. T. Yaghoobian and I.F. Blake, Hermitian codes as generalized Reed-Solomon codes, Designs, Codes, and Cryptography 2 (1992) 5-17.
12. K. Yang and P.V. Kumar, On the true minimum distance of Hermitian codes, in: H. Stichtenoth and M.A. Tsfasman, Eds., Coding Theory and Algebraic Geometry: Proc. AGCT-3, Luminy, France, June 1991 (Springer, Berlin, 1992).