Wishlist: Add support for ECC over binary fields #510

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opened 2019-10-09 17:36:17 -05:00 by zborac · 0 comments
zborac commented 2019-10-09 17:36:17 -05:00 (Migrated from github.com)

Wishlist:
Is there a plan to support ECC over binary fields (characteristic-two finite fields), i.e. F2m ECC curves?
Many of the modern Java cards support F2m ECC curves.
Some of the recomended F2m ECC curves are:
sect113r1 (OID = 1.3.132.0.4) ; sect113r2 (OID = 1.3.132.0.5) ;
sect131r1 (OID = 1.3.132.0.22) ; sect131r2 (OID = 1.3.132.0.23) ;
sect163k1 (OID = 1.3.132.0.1) ; sect163r1 (OID = 1.3.132.0.2) ; sect163r2 (OID = 1.3.132.0.15) ;
sect239k1 (OID = 1.3.132.0.3) ; sect283k1 (OID = 1.3.132.0.16) ; sect283r1 (OID = 1.3.132.0.17)
sect193r1 (OID = 1.3.132.0.24) ; sect193r2 (OID = 1.3.132.0.25)
sect233k1 (OID = 1.3.132.0.26) ; sect233r1 (OID = 1.3.132.0.27)
sect409k1 (OID = 1.3.132.0.36) ; sect409r1 (OID = 1.3.132.0.37)
sect571k1 (OID = 1.3.132.0.38) ; sect571r1 (OID = 1.3.132.0.39)

Wishlist: Is there a plan to support ECC over binary fields (characteristic-two finite fields), i.e. F2m ECC curves? Many of the modern Java cards support F2m ECC curves. Some of the recomended F2m ECC curves are: sect113r1 (OID = 1.3.132.0.4) ; sect113r2 (OID = 1.3.132.0.5) ; sect131r1 (OID = 1.3.132.0.22) ; sect131r2 (OID = 1.3.132.0.23) ; sect163k1 (OID = 1.3.132.0.1) ; sect163r1 (OID = 1.3.132.0.2) ; sect163r2 (OID = 1.3.132.0.15) ; sect239k1 (OID = 1.3.132.0.3) ; sect283k1 (OID = 1.3.132.0.16) ; sect283r1 (OID = 1.3.132.0.17) sect193r1 (OID = 1.3.132.0.24) ; sect193r2 (OID = 1.3.132.0.25) sect233k1 (OID = 1.3.132.0.26) ; sect233r1 (OID = 1.3.132.0.27) sect409k1 (OID = 1.3.132.0.36) ; sect409r1 (OID = 1.3.132.0.37) sect571k1 (OID = 1.3.132.0.38) ; sect571r1 (OID = 1.3.132.0.39)
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gh-libtom/libtomcrypt#510
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