-
1
-
-
0942268039
-
The arithmetic of certain cubic function fields
-
[Bau04]. MR2034129 (2004k:11179)
-
[Bau04] M. Bauer. The arithmetic of certain cubic function fields. Mathematics of Computation, 73:387-413, 2004. MR2034129 (2004k:11179)
-
(2004)
Mathematics of Computation
, vol.73
, pp. 387-413
-
-
Bauer, M.1
-
2
-
-
35048885494
-
Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves
-
[BGS04]. Finite Fields and Applications Fq7. Springer-Verlag. MR2092621
-
[BGS04] A. Bostan, P. Gaudry, and E. Schost. Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves. In Finite Fields and Applications Fq7, volume 2948 of Lecture Notes in Computer Science, pages 40-58. Springer-Verlag, 2004. MR2092621
-
(2004)
Lecture Notes in Computer Science
, vol.2948
, pp. 40-58
-
-
Bostan, A.1
Gaudry, P.2
Schost, E.3
-
3
-
-
1842543728
-
The p-rank of curves and covers of curves
-
[Bou00], number 187 in Progr. Math., Basel. MR1768105 (2001j:14042)
-
[Bou00] I. Bouw. The p-rank of curves and covers of curves. In Courbes semi-stables et groupe fondamental en géomtrie algèbrique (Luminy, 1998), number 187 in Progr. Math., pages 267-277, Basel, 2000. MR1768105 (2001j:14042)
-
(2000)
Courbes Semi-stables et Groupe Fondamental en Géomtrie Algèbrique (Luminy, 1998)
, pp. 267-277
-
-
Bouw, I.1
-
6
-
-
21144431641
-
Fast arithmetic on Jacobians on Picard curves
-
[FO04]. Public Key Cryptography - PKC 2004. Springer-Verlag. MR2095638
-
[FO04] S. Flon and R. Oyono. Fast arithmetic on Jacobians on Picard curves. In Public Key Cryptography - PKC 2004, volume 2947 of Lecture Notes in Computer Science, pages 55-68. Springer-Verlag, 2004. MR2095638
-
(2004)
Lecture Notes in Computer Science
, vol.2947
, pp. 55-68
-
-
Flon, S.1
Oyono, R.2
-
7
-
-
2442566833
-
Counting points in medium characteristic using Kedlaya's algorithm
-
[GG03]. MR2043990 (2005b:11084)
-
[GG03] P. Gaudry and N. Gurel. Counting points in medium characteristic using Kedlaya's algorithm. Experimental Math. 12:395-402, 2003. MR2043990 (2005b:11084)
-
(2003)
Experimental Math.
, vol.12
, pp. 395-402
-
-
Gaudry, P.1
Gurel, N.2
-
8
-
-
27144477571
-
A low-memory parallel version of Matsuo, Chao and Tsujii's algorithm
-
[GS04]. Algorithmic Number Theory Symposium ANTS-VI. Springer-Verlag
-
[GS04] P. Gaudry and E. Schost. A low-memory parallel version of Matsuo, Chao and Tsujii's algorithm. In Algorithmic Number Theory Symposium ANTS-VI, volume 3076 of Lecture Notes in Computer Science, pages 208-222. Springer-Verlag, 2004.
-
(2004)
Lecture Notes in Computer Science
, vol.3076
, pp. 208-222
-
-
Gaudry, P.1
Schost, E.2
-
10
-
-
11244319809
-
Construction of CM Picard curves
-
[KW]. MR2085904
-
[KW] K. Koike and A. Weng. Construction of CM Picard curves. Mathematics of Computation, 74:499-518, 2005. MR2085904
-
(2005)
Mathematics of Computation
, vol.74
, pp. 499-518
-
-
Koike, K.1
Weng, A.2
-
12
-
-
0141876343
-
The Hasse-Witt matrix of an algebraic curve
-
[Man65]
-
[Man65] Ju. I. Manin. The Hasse-Witt matrix of an algebraic curve. Trans. Amer. Math. Soc., 45:245-246, 1965.
-
(1965)
Trans. Amer. Math. Soc.
, vol.45
, pp. 245-246
-
-
Manin, Ju.I.1
-
13
-
-
84958532498
-
An improved baby step giant step algorithm for point counting of hyperelliptic curves over finite fields
-
[MCT02]. Algorithmic Number Theory Symposium ANTS-V. Springer-Verlag. MR2041104 (2005a:11089)
-
[MCT02] K. Matsuo and J. Chao and S. Tsujii. An improved baby step giant step algorithm for point counting of hyperelliptic curves over finite fields. In Algorithmic Number Theory Symposium ANTS-V, volume 2369 of Lecture Notes in Computer Science, pages 461-474. Springer-Verlag, 2002. MR2041104 (2005a:11089)
-
(2002)
Lecture Notes in Computer Science
, vol.2369
, pp. 461-474
-
-
Matsuo, K.1
Chao, J.2
Tsujii, S.3
-
14
-
-
84966216845
-
Probenius maps of abelian varieties and finding roots of unity in finite fields
-
[P1190]. MR1035941 (91a:11071)
-
[P1190] J. Pila. Probenius maps of abelian varieties and finding roots of unity in finite fields. Mathematics of Computation, 55(192):745-763, 1990. MR1035941 (91a:11071)
-
(1990)
Mathematics of Computation
, vol.55
, Issue.192
, pp. 745-763
-
-
Pila, J.1
-
15
-
-
84919085619
-
An improved algorithm for computing logarithms over GF(p) and its cryptographic significance
-
[PH78]. MR0484737 (58:4617)
-
[PH78] S. C. Pohlig and M. E. Hellman. An improved algorithm for computing logarithms over GF(p) and its cryptographic significance. IEEE-Transactions on Information Theory, 24:106-110, 1978. MR0484737 (58:4617)
-
(1978)
IEEE-transactions on Information Theory
, vol.24
, pp. 106-110
-
-
Pohlig, S.C.1
Hellman, M.E.2
-
16
-
-
84966238549
-
Monte Carlo methods for index computation (mod p)
-
[Pol78]. MR0491431 (58:10684)
-
[Pol78] J. M. Pollard. Monte Carlo methods for index computation (mod p). Mathematics of Computation, 32(143):918-924, 1978. MR0491431 (58:10684)
-
(1978)
Mathematics of Computation
, vol.32
, Issue.143
, pp. 918-924
-
-
Pollard, J.M.1
-
17
-
-
84985315118
-
On the Jacobian varieties of Picard curves defined over fields of characteristic p > 0
-
[Sar91]. MR1121242 (93g:14033)
-
[Sar91] J. Estrada Sarlabous. On the Jacobian varieties of Picard curves defined over fields of characteristic p > 0. Math. Nachr., 152:392-340, 1991. MR1121242 (93g:14033)
-
(1991)
Math. Nachr.
, vol.152
, pp. 392-1340
-
-
Sarlabous, J.E.1
-
18
-
-
85009774545
-
Ideal arithmetic and infrastructure in purely cubic function fields
-
[Sch01]. MR1879675 (2002k:11209)
-
[Sch01] R. Scheidler. Ideal arithmetic and infrastructure in purely cubic function fields. Journal de Théorie des Nombres de Bordeaux, 13:609-631, 2001. MR1879675 (2002k:11209)
-
(2001)
Journal de Théorie des Nombres de Bordeaux
, vol.13
, pp. 609-631
-
-
Scheidler, R.1
-
20
-
-
0036013542
-
Explicit bounds and heuristics on class numbers in hyperelliptic function fields
-
[ST02a]. MR1885633 (2002k:11210)
-
[ST02a] A. Stein and E. Teske. Explicit bounds and heuristics on class numbers in hyperelliptic function fields. Mathematics of Computation, 71:837-861, 2002. MR1885633 (2002k:11210)
-
(2002)
Mathematics of Computation
, vol.71
, pp. 837-861
-
-
Stein, A.1
Teske, E.2
-
21
-
-
0035993870
-
The parallelized Pollard kangaroo method in real quadratic function fields
-
[ST02b]. MR1885629 (2002k:11227)
-
[ST02b] A. Stein and E. Teske. The parallelized Pollard kangaroo method in real quadratic function fields. Mathematics of Computation, 71:793-814, 2002. MR1885629 (2002k:11227)
-
(2002)
Mathematics of Computation
, vol.71
, pp. 793-814
-
-
Stein, A.1
Teske, E.2
-
23
-
-
34250541896
-
Endomorphisms of abelian varieties over finite fields
-
[Tat66]. MR0206004 (34:5829)
-
[Tat66] J. Tate. Endomorphisms of abelian varieties over finite fields. Invent. Math., 2:134-144, 1966. MR0206004 (34:5829)
-
(1966)
Invent. Math.
, vol.2
, pp. 134-144
-
-
Tate, J.1
-
24
-
-
0345058968
-
Index calculus attack for hyperelliptic curves of small genus
-
[Thé03]. Advances in Cryptology - ASIACRYPT 2003. Springer-Verlag. MR2093253
-
[Thé03] N. Thériault. Index calculus attack for hyperelliptic curves of small genus. In Advances in Cryptology - ASIACRYPT 2003, volume 2894 of Lecture Notes in Computer Science, pages 75-92. Springer-Verlag, 2003. MR2093253
-
(2003)
Lecture Notes in Computer Science
, vol.2894
, pp. 75-92
-
-
Thériault, N.1
-
25
-
-
17444376558
-
Parallel collision search with cryptanalytic applications
-
[vOW99]. MR1664774 (99i:94054)
-
[vOW99] P. C. van Oorschot and M. J. Wiener. Parallel collision search with cryptanalytic applications. Journal of Cryptology, 12:1-28, 1999. MR1664774 (99i:94054)
-
(1999)
Journal of Cryptology
, vol.12
, pp. 1-28
-
-
Van Oorschot, P.C.1
Wiener, M.J.2
-
26
-
-
0001556633
-
Abelian varieties over finite fields
-
[Wat69]. MR0265369 (42:279)
-
[Wat69] W. C. Waterhouse. Abelian varieties over finite fields. Ann. Sci. École Norm. Sup. (4), 2:521-560, 1969. MR0265369 (42:279)
-
(1969)
Ann. Sci. École Norm. Sup. (4)
, vol.2
, pp. 521-560
-
-
Waterhouse, W.C.1
|