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References
J.H. van Lint, G. van der Geer, Introduction to Coding Theory and Algebraic Geometry. DMV Seminar, Band 12. Birkhäuser Verlag 1988.
J. Justesen, K.J. Larsen, A. Havemose, H.E. Jensen, T. Høholt, Construction and decoding of a class of algebraic geometry codes. IEEE-IT 35(4)(1989), pp. 811–821.
A.N. Skorobogatov, S.G. VlĂduţ, On the decoding of algebraic-geometric codes. IEEE-IT 36(5)(1990),pp. 1051–1060.
R. Pellikaan, On a decoding Algorithm for Codes on maximal curves. IEEE-IT 35(6)(1989), pp. 1228–1232.
S.G. VlĂduţ, On the decoding of algebraic-geometric codes for q ≥ 16. IEEE-IT 36(6)(1990), pp. 1961–1963.
S.C. Porter, Decoding Codes arising from Goppa's construction on algebraic curves. Thesis, Yale University, 1988.
S.C. Porter, Decoding Geometric Goppa Codes. Preprint.
S.C. Porter, Euclid's algorithm, resultants and rational function representation on algebraic curves with a single point at infinity. Preprint.
S.C. Porter, Dense representation of affine coordinate rings of curves with one point at infinity. Proceedings of ISSAC-89.
S.C. Porter, An efficient data structure for rational function on algebraic curves. Preprint.
S.C. Porter, B.Z. Shen, R. Pellikaan, Decoding geometric Goppa codes using an extra place. Preprint Eindhoven University, September 1991.
B.Z. Shen, Subresultant sequence on a Weierstrass algebra and its application to decoding algebraic-geometric codes. preprint Eindhoven University, May 1991
D. Ehrhard, Über das Dekodieren Algebraisch-Geometrischer Codes. Thesis, Düsseldorf University, 1991.
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© 1992 Springer-Verlag
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Ehrhard, D. (1992). Decoding Algebraic-Geometric Codes by solving a key equation. In: Stichtenoth, H., Tsfasman, M.A. (eds) Coding Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 1518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087989
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DOI: https://doi.org/10.1007/BFb0087989
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