Code construction on fiber products of Kummer covers

IEEE Transactions on Information Theory

Volumn 50, Issue 9, 2004, Pages 2169-2173

  Maharaj, Hiren ^a  

^a CLEMSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CODES (SYMBOLS); COMPUTATIONAL GEOMETRY; ENCODING (SYMBOLS); FUNCTIONS; MATRIX ALGEBRA; THEOREM PROVING;

ALGEBRAIC FUNCTION; ALGEBRAIC GEOMETRY CODES; CODE CONSTRUCTION; GOPPA CODES;

INFORMATION THEORY;

EID: 4544274838     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.833356     Document Type: Article

References (10)

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3. M. Q. Kawakita, "Kummer curves and their fiber products with many rational places," AAECC, vol. 14, pp. 55454, 2003.
4. H. Niederreiter and C. Xing, Rational Points on Curves Over Finite Fields, ser. London Mathmematical Society Lecture Note Series. Cambridge, UK.: Cambridge Univ. Press, 2001, vol. 285.
5. F. Özbudak, "Codes on fiber products of some Kummer coverings," Finite Fields Appl., vol. 5, no. 2, pp. 188-205, 1999.
6. H. Stichtenoth, Algebraic Function Fields and Codes. Berlin, Germany: Springer-Velag, 1993.
7. G. van der Geer and M. van der Vlugt, "Kummer covers with many points," Finite Fields Appl., vol. 6, no. 4, pp. 327-341, 2000.
8. G. van der Geer, "Tables of curves with.many points," Math. Comp., vol. 69, no. 230, pp. 797-810, 2000.
9. C. Xing, "Hyperelliptic function fields and codes," J. Pure Appl. Alg., vol. 74, no. 1, pp. 109-118, 1991.
10. C. Xing and H. Chen, "Improvements on parameters of one-point AG codes from Hermitian curves," IEEE Trans. Inform. Theory, vol. 48, pp. 535-537, Feb. 2002.