Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1423, Issue , 1998, Pages 576-591

  Paulus, Sachar ^a   Stein, Andreas ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

NUMBER THEORY;

CLASS GROUP; HYPER-ELLIPTIC CURVES; QUADRATIC FUNCTION; REAL AND IMAGINARY;

GEOMETRY;

EID: 84947748768     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0054894     Document Type: Conference Paper

References (8)

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2. D. G. Cantor: Computing in the Jacobian of a hyperelliptic curve. Mathematics of Computation 48 (1987). pp. 95-101.
3. H. Cohen, A Course in computational algebraic number theory, Springer Verlag, Berlin 1995.
4. D. E. Knuth, The Art of Computer Programming, vol. 2: Seminumerical Algorithms, Addison-Wesley, Reading (Mass.) 1981.
5. D. Mumford: Tata Lectures on Theta I, II. Boston: Birkhäuser Verlag 1983/84.
6. S. Paulus, H. -G. Rück: Real and imaginary quadratic representations of hyperelliptic function fields. To appear in Mathematics of Computation.
7. R. Scheidler, A. Stein, H. C. Williams: Key-exchange in real quadratic congruence function fields. Designs, Codes and Cryptography 7 (1996). pp. 153-174.
8. A. Stein: Equivalences between elliptic curves and real quadratic congruence function fields. Journal de Théorie des Nombres de Bordeaux 9. 1997. pp. 79-95.