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Commit c859c353 by GUILLEVIC Aurore

### Mention CocksPinch{6,8,_k} files

parent 6248fdaf
 ... ... @@ -13,6 +13,8 @@ We provide code for the following tasks. "Formulas for final exponentiation" in this file. * Search for pairing-friendly curves with our Cocks-Pinch variant; see "Using the search program". * Elliptic curve object inherited from the sage object EllipticCurve to handle pairing-friendly curves Computing pairing costs ======================= ... ... @@ -624,4 +626,23 @@ respectively): Note that the former is naturally preferred because hy has 2-naf weight only 4. Pairing-friendly curve objects ============================== The files [`BN.py`](BN.py), [`BLS12.py`](BLS12.py), [`MNT6.py`](MNT6.py), [`KSS16.py`](KSS16.py) provide a class inherited from the sage class `EllipticCurve_finite_field` so that the usual methods are available. Moreover, the methods `beta`, `lamb` return integers for the GLV method (used in RELIC library to speed-up scalar multiplication), and the field `polynomial_p` returns a list of coefficients corresponding to the polynomial used to obtain the special prime \$p\$ to define a finite field \$\mathbf{F}_p = GF(p)\$ and then an elliptic curve \$E(\mathbf{F}_p)\$. The files [`CocksPinch6.py`](CocksPinch6.py), [`CocksPinch8.py`](CocksPinch8.py) correspond to Cocks-Pinch curves with embedding degree \$k=6\$ and \$D=3\$, resp., \$k=8\$ and \$D=4\$. The file [`CocksPinch_k.py`](CocksPinch_k.py) is used for Cocks-Pinch curves that don't have a particular structure. The input parameters are obtained with the functions described above (`CocksPinchVariant`, `CocksPinchVariantResult`).
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