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Original Articles

GENERALIZED GEOMETRIC GOPPA CODES

Pages 2763-2789 | Received 01 Dec 2000, Published online: 01 Sep 2006

REFERENCES

  • Brouwer , A.E. 1998 . “ Handbook of Coding Theory ” . In Bounds on the Size of Linear Codes Edited by: Pless , V.S. and Huffman , W.C. 295 – 461 . North Holland . Updated tables are available at http://www.win.tue.nl/∼aeb/voorlincod.html
  • Ding , C. , Niederreiter , H. and Xing , C. 1999 . Some New Codes from Algebraic Curves Submitted to IEEE Transactions on Information Theory
  • Ericson , T. A Simple Analysis of the Blokh-Zyablov Decoding Algorithm . Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra, 4th International Conference, Proceedings . Edited by: Beth , T. and Clausen , M. Vol. 307 , pp. 43 – 57 . Springer . Lecture Notes in Computer Science
  • Farran , J.I. 2000 . Decoding Algebraic Geometry Codes by a Key Equation . Finite Fields and Their Applications , 6 : 207 – 217 .
  • Garcia , A. and Stichtenoth , H. 1995 . A Tower of Artin-Schreier Extensions of Function Fields Attaining the Drinfeld-Vladut Bound . Inventiones Mathematicae , 121 : 211 – 222 .
  • Goppa , V.D. 1981 . Codes over Algebraic Curves, Soviet Math . 24 ( 1 ) : 170 – 172 .
  • Heydtmann , A.E. 2000 . Sudan-Decoding of Generalized Geometric Goppa Codes manuscript
  • MacWilliams , F.J. and Sloane , N.J.A. 1977 . The Theory of Error-Correcting Codes North-Holland Mathematical Library .
  • Nielsen , R.R. 2000 . Decoding Generalized Algebraic-Geometry Codes manuscript
  • Stichtenoth , H. 1993 . Algebraic Function Fields and Codes Springer .
  • Tsfasman , M.A. , Vladut , S.G. and Zink , T. 1982 . Modular Curves, Shimura Curves and Goppa Codes Better than the Varshamov-Gilbert Bound . Mathematische Nachrichten , 109 : 21 – 28 .
  • Xing , C. , Niederreiter , H. and Lam , K.Y. 1999 . A Generalization of Algebraic-Geometry Codes . IEEE Transactions on Information Theory , 45 ( 7 ) : 2498 – 2501 .

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