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This paper describes the addition law for a new form for elliptic curves over fields of characteristic 2. Specifically, it presents explicit formulae for adding two different points and for doubling points. The case of differential point addition (that is, point addition with a known difference) is also addressed. Finally, this paper presents unified point(More)
A proxy re-encryption (PRE) scheme allows a designated proxy, that has beforehand received a so-called re-encryption key, to translate a ciphertext intended to one user to a ciphertext intended to another one. Traditionally, the re-encryption key is generated at the initiative of the initial receiver and ideally, no secret keys should be known to the proxy.(More)