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Original Articles

EXTENSIONS OF ALGEBRAIC FUNCTION FIELDS WITH COMPLETE SPLITTING OF ALL RATIONAL PLACES

Pages 2687-2698 | Received 01 Dec 2000, Published online: 01 Sep 2006

REFERENCES

  • Deolalikar, V. On Splitting Places of Degree One in Extensions of Algebraic Function Fields, Towers of Function Fields Meeting Asymptotic Bounds, and Explicit Basis Constructions for Algebraic-Geometric Codes; Ph.D. Dissertation: University of Southern California, Los Angeles 1999. (arXiv:math.NT/0010307)
  • Deolalikar, V. Symmetry, Splitting Rational Places and a Generalization of the Hermitian Function Field. Preprint. (arXiv:math.NT/0010193)
  • Garcia , A. and Stichtenoth , H. 1999 . A Class of Polynomials over Finite Fields . Finite Fields Appl. , 5 ( 4 ) : 424 – 435 .
  • Goppa , V. 1981 . Codes on Algebraic Curves . Soviet Math. Doklady , 24 ( 1 ) : 170 – 172 .
  • Stichtenoth , H. 1991 . Algebraic Function Fields and Codes Berlin-Heidelberg-New York : Springer Universitext .
  • MacWilliams , W. and Sloane , N. 1977 . The Theory of Error Correcting Codes Amsterdam : North-Holland .
  • Wetherell, J. Private Communication. June 2001

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