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| bio | website | normalesup.org/~tibouchi |
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| location | ||
| age | ||
| visits | member for | 1 year, 4 months |
| seen | Jul 25 '12 at 0:43 | |
| stats | profile views | 11 |
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Jan 17 |
awarded | Yearling |
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Feb 23 |
awarded | Necromancer |
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Feb 22 |
comment |
Standardized parameters for elliptic curve cryptography One can infer that indeed, but on the other hand, the Digital Signature Standard says that NIST-approved curves are randomly generated (and even “provably” so!) in the sense that the curve coefficients are chosen using a hash function (even though the base fields are quite special). So it seems difficult to tell what exactly randomly generated means in this context. |
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Feb 22 |
comment |
Standardized parameters for elliptic curve cryptography Very useful, thanks. |
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Feb 22 |
awarded | Scholar |
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Feb 22 |
accepted | Standardized parameters for elliptic curve cryptography |
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Feb 21 |
awarded | Student |
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Feb 21 |
asked | Standardized parameters for elliptic curve cryptography |
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Feb 7 |
answered | Does RSA padding have to be unpredictable if the payload is? |
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Feb 6 |
answered | Anonymous trust/reputation system |
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Jan 26 |
awarded | Supporter |
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Jan 18 |
comment |
Pairing-friendly curves in small characteristic fields I should perhaps note, however (and sorry for commenting twice), that in principle, it might be possible to construct pairing-friendly curves over extension fields of a form like $\mathbb{F}_{p^2}$ with the CM method (see e.g. the discussion in 4.1 of Barreto and Naehrig's paper). But $p$ still has to be large and you cannot fix it in advance, so it doesn't solve the problem in small characteristic. |
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Jan 18 |
comment |
Pairing-friendly curves in small characteristic fields If you check the output of Algorithms 4.2 and 5.1 in Freeman's paper, you'll find that all of his curves (and hence their Jacobians) are defined over prime fields. The $J(\mathbb{F}_{q^k})$ in the abstract is about finding where the full r-torsion of the Jacobian in contained. |
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Jan 17 |
awarded | Teacher |
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Jan 17 |
answered | Pairing-friendly curves in small characteristic fields |
