Design and Implementation of Elliptic Curve Encryption Based on ONB over F~m_2
Xian Zhang · 2003
This paper comprehensively introduces the mathematics theory for elliptic curve encryption based on ONB over Fm2. like the ONB denotation of element over Fm2 the elliptic curve over Fm2 and some computing rules. Based on the theoretical introduction, an ECC-based encryption scheme is designed. The mechanism for key exchange is described in details for further applications. Underlying the given theoretical analysis and protocol description, an ECC software is implemented. The software is characterized by excellent security as well as high efficiency.