메뉴 건너뛰기




Volumn 4575 LNCS, Issue , 2007, Pages 132-151

Zeta function and cryptographic exponent of supersingular curves of genus 2

Author keywords

[No Author keywords available]

Indexed keywords

SET THEORY;

EID: 50049083123     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73489-5_8     Document Type: Conference Paper
Times cited : (9)

References (19)
  • 1
    • 0142246428 scopus 로고    scopus 로고
    • On the number of curves of genus 2 over a finite field
    • Cardona, G.: On the number of curves of genus 2 over a finite field. Finite Fields and Their Applications 9, 505-526 (2003)
    • (2003) Finite Fields and Their Applications , vol.9 , pp. 505-526
    • Cardona, G.1
  • 2
    • 50049114990 scopus 로고    scopus 로고
    • Cardona, G., Quer, J.: Field of moduli and field of definition, for curves of genus 2. In: Shaska, T. (ed.) Computational aspects of algebraic curves, Lecture Notes Series on Computing 13, pp. 71-83, World Scientific
    • Cardona, G., Quer, J.: Field of moduli and field of definition, for curves of genus 2. In: Shaska, T. (ed.) Computational aspects of algebraic curves, Lecture Notes Series on Computing 13, pp. 71-83, World Scientific
  • 4
    • 77951013590 scopus 로고    scopus 로고
    • Curves of genus 2 with group of automorphisms isomorphic to De or D12
    • to appear
    • Cardona, G., Quer, J.: Curves of genus 2 with group of automorphisms isomorphic to De or D12, Trans. Amer. Math. Soc. (to appear)
    • Trans. Amer. Math. Soc
    • Cardona, G.1    Quer, J.2
  • 5
    • 84968502759 scopus 로고
    • A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves
    • Frey, G., Rück, H.-G.: A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves. Mathematics of Computation 62, 865-874 (1994)
    • (1994) Mathematics of Computation , vol.62 , pp. 865-874
    • Frey, G.1    Rück, H.-G.2
  • 6
    • 84946832010 scopus 로고    scopus 로고
    • Supersingular curves in cryptography
    • Boyd, C, ed, ASIACRYPT 2001, Springer, Heidelberg
    • Galbraith, S.D.: Supersingular curves in cryptography. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 495-513. Springer, Heidelberg (2001)
    • (2001) LNCS , vol.2248 , pp. 495-513
    • Galbraith, S.D.1
  • 9
    • 0001138514 scopus 로고
    • Supersingular curves of genus two and class numbers
    • Ibukiyama, T., Katsura, T., Oort, F.: Supersingular curves of genus two and class numbers. Compositio Math. 57, 127-152 (1986)
    • (1986) Compositio Math , vol.57 , pp. 127-152
    • Ibukiyama, T.1    Katsura, T.2    Oort, F.3
  • 10
    • 0000160903 scopus 로고
    • Arithmetic variety of moduli for genus two
    • Igusa, J.-I.: Arithmetic variety of moduli for genus two. Annals of Mathematics 72, 612-649 (1960)
    • (1960) Annals of Mathematics , vol.72 , pp. 612-649
    • Igusa, J.-I.1
  • 11
    • 0036934634 scopus 로고    scopus 로고
    • Abelian surfaces over finite fields as jacobians
    • Maisner, D., Nart, E., Howe, E.W.: Abelian surfaces over finite fields as jacobians. Experimental Mathematics 11, 321-337 (2002)
    • (2002) Experimental Mathematics , vol.11 , pp. 321-337
    • Maisner, D.1    Nart, E.2    Howe, E.W.3
  • 12
    • 34248664061 scopus 로고    scopus 로고
    • Zeta functions of supersingular curves of genus 2
    • Maisner, D., Nart, E.: Zeta functions of supersingular curves of genus 2. Canadian Journal of Mathematics 59, 372-392 (2007)
    • (2007) Canadian Journal of Mathematics , vol.59 , pp. 372-392
    • Maisner, D.1    Nart, E.2
  • 14
    • 84937426999 scopus 로고    scopus 로고
    • Supersingular abelian varieties in cryptology
    • Yung, M, ed, CRYPTO 2002, Springer, Heidelberg
    • Rubin, K., Siverberg, A.: Supersingular abelian varieties in cryptology. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 336-353. Springer, Heidelberg (2004)
    • (2004) LNCS , vol.2442 , pp. 336-353
    • Rubin, K.1    Siverberg, A.2
  • 15
    • 0001877395 scopus 로고
    • Supersingular curves of genus 2 over finite fields of characteristic 2
    • van der Geer, G., van der Vlugt, M.: Supersingular curves of genus 2 over finite fields of characteristic 2. Math. Nachrichten 159, 73-81 (1992)
    • (1992) Math. Nachrichten , vol.159 , pp. 73-81
    • van der Geer, G.1    van der Vlugt, M.2
  • 17
    • 0030268241 scopus 로고    scopus 로고
    • On supersingular abelian varieties of dimension two over finite fields
    • Xing, CP.: On supersingular abelian varieties of dimension two over finite fields. Finite Fields and Their Applications 2, 407-421 (1996)
    • (1996) Finite Fields and Their Applications , vol.2 , pp. 407-421
    • Xing, C.P.1
  • 18
    • 0005634554 scopus 로고
    • On the Jacobian varieties of hyperelliptic curves over fields of characteristic p > 2
    • Yui, N.: On the Jacobian varieties of hyperelliptic curves over fields of characteristic p > 2. Journal of Algebra 52, 378-410 (1978)
    • (1978) Journal of Algebra , vol.52 , pp. 378-410
    • Yui, N.1
  • 19
    • 0034165085 scopus 로고    scopus 로고
    • Group Structures of Elementary Supersingular Abelian Varieties over Finite Fields
    • Zhu, H. J.: Group Structures of Elementary Supersingular Abelian Varieties over Finite Fields. Journal of Number Theory 81, 292-309 (2000)
    • (2000) Journal of Number Theory , vol.81 , pp. 292-309
    • Zhu, H.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.