On supersingular abelian varieties of dimension two over finite fields

Finite Fields and their Applications

Volumn 2, Issue 4, 1996, Pages 407-421

  Xing, Chaoping ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030268241     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1996.0024     Document Type: Article

References (7)

1. 1. G. van der Geer and M. van der Vlugt, Reed-Muller codes and supersingular curves, I, Compositio Math. 84 (1992), 333-367.
2. 2. N. Koblitz, Hyperelliptic cryptosystems, J. Cryptology 1 (1989), 139-150.
3. 3. D. Mumford, "Abelian Varieties," 2nd ed., Oxford Univ. Press, Oxford, 1974.
4. 4. H.-G. Rück, Abelian surfaces and Jacobian varieties over finite fields, Compositio Math. 76 (1990), 351-366.
5. 5. J. Tate, Endomorphisms of abelian varieties over finite fields, Invent. Math. 2 (1966), 134-144.
6. 6. W. C. Waterhouse, Abelian varieties over finite fields, Ann. Sci. École Norm. Sup. (4) 2 (1969), 521-560.
7. 7. C. P. Xing, The structure of the rational point groups of simple abelian varieties of dimension two over finite fields, Arch. Math. 63 (1994), 427-430.