发明名称 |
NEW TRAPDOOR ONE-WAY FUNCTION ON ELLIPTIC CURVES AND ITS APPLICATION TO ASYMMETRIC ENCRYPTION AND SHORTER SIGNATURES |
摘要 |
A new trapdoor one-way function is provided. In a general sense, some quadratic algebraic integer z is used. One then finds a curve E and a rational map defining [z] on E. The rational map [z] is the trapdoor one-way function. A judicious selection of z will ensure that [z] can be efficiently computed, that it is difficult to invert, that determination of [z] from the rational functions defined by [z] is difficult, and knowledge of z allows one to invert [z] on a certain set of elliptic curve points. |
申请公布号 |
EP1815636(B1) |
申请公布日期 |
2012.02.22 |
申请号 |
EP20050803301 |
申请日期 |
2005.11.14 |
申请人 |
CERTICOM CORP. |
发明人 |
VANSTONE, SCOTT A.;GALLANT, ROBERT P.;BROWN, DANIEL R.L.;STRUIK, MARINUS |
分类号 |
H04L9/30 |
主分类号 |
H04L9/30 |
代理机构 |
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代理人 |
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主权项 |
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地址 |
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