| ²é¿´: 767 | »Ø¸´: 7 | |||
| µ±Ç°Ö÷ÌâÒѾ´æµµ¡£ | |||
ŬÁ¦×ÅÈÙÓþ°æÖ÷ (Ö°Òµ×÷¼Ò)
µÍµ÷ÒþÊ¿
|
[½»Á÷]
¡¾ÇóÖúÍê±Ï¡¿´óÐÞÉó¸åÒâ¼ûÇó·Òë
|
||
|
ÓÐһƪ´óÐÞµÄÎÄÕ£¬¹ØÓÚ¼ÆËãÁ¿±È½Ï£¬Éó¸åÈ˸øÁËÕâôһ¶Î»°£º For timing comparisons, the paper should note that one exponentiation can be computed on O(log q) modular multiplications. Furthermore, since their analysis if so fine-grained that is cares about hash evaluations, then the conversion "1 pairing = 3 exponentiations" is very rough. One should also consider exponentiations to a fixed base which are more efficient and also sequential- and multi- exponentiations, which can be done more efficiently than the naive methods. ÆäÖУ¬¼Ó´ÖµÄÕâÁ½¾äÊÇʲôÒâË¼ÄØ£¿ ÁíÍ⣬ 1£¬Furthermore, since their analysis if so fine-grained that is cares about hash evaluations, then the conversion "1 pairing = 3 exponentiations" is very rough ÖеÄif so¡¡that Õâ¸öÔõô½âÊÍ£¿ 2£¬One should also consider exponentiations to a fixed base which are more efficient and also sequential- and multi- exponentiations.ÖеÄandÖ®ºóµÄ»°ÊǺÍÇ°Ãæmore¶ÔӦĨ£¬»¹ÊǺÍexponentiations to a fixed base ¶ÔӦĨ£¿ ·Ç³£¸Ðл£¬Çë´ó¼Ò°ïæ¡£ ----------- ÎÒÔÚÂÛÎÄͶ¸å°æÒ²·¢ÁËÌû×Ó£¬´ó¼Ò²»Òª³Ï®Å¶£¬ºÙºÙ ![]() [ Last edited by ŬÁ¦×Å on 2009-10-2 at 20:14 ] |
» ²ÂÄãϲ»¶
Çóµ÷¼Á
ÒѾÓÐ3È˻ظ´
Ò»Ö¾Ô¸±±¾©»¯¹¤´óѧ£¬³õÊԳɼ¨350Çóµ÷¼Á
ÒѾÓÐ14È˻ظ´
¸´ÊÔµ÷¼Á
ÒѾÓÐ4È˻ظ´
323·Ö£¨¼ÆËã»úÊÓ¾õºÍ´óÄ£ÐÍÏîÄ¿£©ÄÜÖ±½ÓÉÏÊÖ
ÒѾÓÐ3È˻ظ´
311·Ö 22408 Çóµ÷¼Á
ÒѾÓÐ3È˻ظ´
320·ÖÈ˹¤ÖÇÄܵ÷¼Á
ÒѾÓÐ7È˻ظ´
Ò»Ö¾Ô¸Ö£´ó0705Çóµ÷¼Á
ÒѾÓÐ4È˻ظ´
0703»¯Ñ§
ÒѾÓÐ10È˻ظ´
301Çóµ÷¼Á
ÒѾÓÐ10È˻ظ´
306·Ö²ÄÁÏÓ뻯¹¤Çóµ÷¼Á
ÒѾÓÐ6È˻ظ´
nono2009
³¬¼¶°æÖ÷ (ÎÄѧ̩¶·)
No gains, no pains.
-

ר¼Ò¾Ñé: +21105 - ·ÒëEPI: 3
- Ó¦Öú: 28684 (Ժʿ)
- ¹ó±ö: 513.911
- ½ð±Ò: 2555230
- É¢½ð: 27828
- ºì»¨: 2148
- ɳ·¢: 66666
- Ìû×Ó: 1602255
- ÔÚÏß: 65200.9Сʱ
- ³æºÅ: 827383
- ×¢²á: 2009-08-13
- ÐÔ±ð: GG
- רҵ: ¹¤³ÌÈÈÎïÀíÓëÄÜÔ´ÀûÓÃ
- ¹ÜϽ: ¿ÆÑмҳﱸίԱ»á
2Â¥2009-09-11 22:05:42
jw227
ľ³æ (ÖøÃûдÊÖ)
¿ÎÌâ×鳤
- ·ÒëEPI: 2
- Ó¦Öú: 1 (Ó×¶ùÔ°)
- ¹ó±ö: 1.06
- ½ð±Ò: 3456.8
- ºì»¨: 1
- Ìû×Ó: 1674
- ÔÚÏß: 293.4Сʱ
- ³æºÅ: 236869
- ×¢²á: 2006-04-03
- ÐÔ±ð: MM
- רҵ: ÌìÈ»Óлú»¯Ñ§

3Â¥2009-09-11 22:39:48
oswald
гæ (СÓÐÃûÆø)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 1016.3
- É¢½ð: 12
- Ìû×Ó: 68
- ÔÚÏß: 1Сʱ
- ³æºÅ: 692745
- ×¢²á: 2009-01-15
- רҵ: ÃÜÂëѧ

4Â¥2009-09-12 00:26:51
goodtimega
Ìú¸Ëľ³æ (ÖøÃûдÊÖ)
- ·ÒëEPI: 4
- Ó¦Öú: 1 (Ó×¶ùÔ°)
- ½ð±Ò: 8138.7
- É¢½ð: 570
- ºì»¨: 1
- Ìû×Ó: 1489
- ÔÚÏß: 527.5Сʱ
- ³æºÅ: 820248
- ×¢²á: 2009-08-02
- רҵ: ¸ß·Ö×Ó²ÄÁϽṹÓëÐÔÄÜ
¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
ŬÁ¦×Å(½ð±Ò+10,VIP+0):¸Ðлing 9-13 09:42
ŬÁ¦×Å(½ð±Ò+10,VIP+0):¸Ðлing 9-13 09:42
| ÁíÍ⣬ÓÉÓÚËûÃǵķÖÎöÊÇÔÚ¸ßÃܶȣ¨fine-grained £©ÉϵÄhash evaluations£¬×ª»»¡°1 pairing = 3 exponentiations¡±ÊǷdz£´Ö²ÚµÄ¡£»¹Ó¦¸Ã¿¼Âǹ̶¨»ùµÄÖ¸Êý £¨exponentiations to a fixed base £©£¬Õâ±Èsequential- and multi- exponentiations ¸üÓÐЧ£¬ |
5Â¥2009-09-13 09:25:18
zsgandy
ÖÁ×ðľ³æ (Ö°Òµ×÷¼Ò)
- Ó¦Öú: 1 (Ó×¶ùÔ°)
- ½ð±Ò: 19777
- É¢½ð: 70
- ºì»¨: 5
- Ìû×Ó: 3680
- ÔÚÏß: 331.3Сʱ
- ³æºÅ: 427932
- ×¢²á: 2007-07-30
- ÐÔ±ð: GG
- רҵ: ½ðÊô²ÄÁϵÄÖÆ±¸¿ÆÑ§Óë¿çѧ
¡ï ¡ï ¡ï ¡ï ¡ï
ŬÁ¦×Å(½ð±Ò+5,VIP+0):¸ÐлGG 9-14 10:49
ŬÁ¦×Å(½ð±Ò+5,VIP+0):¸ÐлGG 9-14 10:49
| ´ËÍ⣬ÓÉÓÚ¹ØÐĵÄÊǹþÏ£ÆÀ¼Û£¬ÈôÄÇЩ·ÖÎöÓÐϸÁ£¶ÈµÄ¾ÍºÃÁË£¬½ÓÏÂÀ´µÄת»»¡°1 pairing = 3 exponentiations¡±Ì«´Ö²Ú¡£»¹Ó¦¸Ã¿¼ÂÇÒ»¸ö¹Ì¶¨µÄ»ù±¾ÃݲÎÊý£¬ÕâÑù±È˳ÐòºÍ¶àÃÝ»á¸üÓÐЧ¡£ |
6Â¥2009-09-14 10:15:51
pds
ľ³æ (СÓÐÃûÆø)
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 3823.7
- Ìû×Ó: 255
- ÔÚÏß: 35.9Сʱ
- ³æºÅ: 657214
- ×¢²á: 2008-11-18
- רҵ: ½á¹¹¹¤³Ì
¡ï
ŬÁ¦×Å(½ð±Ò+1,VIP+0):·Ç³£¸Ðл£¬ÎÒÎÊÁËÓ¢¹úÅóÓÑ£¬if ÊÇisµÄÎóд£¬isÊÇitµÄÎóд¡£ 10-2 20:16
ŬÁ¦×Å(½ð±Ò+1,VIP+0):·Ç³£¸Ðл£¬ÎÒÎÊÁËÓ¢¹úÅóÓÑ£¬if ÊÇisµÄÎóд£¬isÊÇitµÄÎóд¡£ 10-2 20:16
|
1.if so¡¡that ÊDzåÈëÓï¡£ 2.andÖ®ºóµÄ»°ÊǺÍÇ°Ãæmore¶ÔÓ¦¡£ |
7Â¥2009-09-15 20:35:05
xwa338
½ð³æ (ÕýʽдÊÖ)
- Ó¦Öú: 7 (Ó×¶ùÔ°)
- ½ð±Ò: 1184.1
- Ìû×Ó: 305
- ÔÚÏß: 59.9Сʱ
- ³æºÅ: 472626
- ×¢²á: 2007-12-04
- ÐÔ±ð: GG
- רҵ: ÏËά
¡ï
ŬÁ¦×Å(½ð±Ò+1,VIP+0):·Ç³£¸Ðл£¬ÎÒÎÊÁËÓ¢¹úÅóÓÑ£¬if ÊÇisµÄÎóд£¬isÊÇitµÄÎóд¡£ 10-2 20:16
ŬÁ¦×Å(½ð±Ò+1,VIP+0):·Ç³£¸Ðл£¬ÎÒÎÊÁËÓ¢¹úÅóÓÑ£¬if ÊÇisµÄÎóд£¬isÊÇitµÄÎóд¡£ 10-2 20:16
|
2£¬One should also consider exponentiations to a fixed base which are more efficient and also sequential- and multi- exponentiations.ÖеÄandÖ®ºóµÄ»°ÊǺÍÇ°Ãæmore¶ÔӦĨ£¬»¹ÊǺÍexponentiations to a fixed base ¶ÔӦĨ£¿ ºÍmore efficient¶ÔÓ¦ |
8Â¥2009-09-17 12:56:15















»Ø¸´´ËÂ¥