| 摘要 |
<p>The aim of the present invention is to propose an alternative scheme to the classical Boneh-Franklin scheme in order to simplify the generation and the use of the asymmetric keys. According to the present invention, it is proposed a method to generate an i -th private key in a public key encryption scheme with traceable private keys formed by a public component ³ (i) and a secret component ¸ i , according to a maximal coalition factor k , with all arithmetic operations performed within a multiplicative group Z / qZ where q is a prime number,
said public component being defined as : ³ i = 1 , imodq , i 2 �¢ modq , €¦ , i 2 �¢ k - 1 �¢ mod q
and said secret component being defined as : ¸ i = £r j �¢ ± j £ �¢ r j �¢ ³ j i �¢ mod q
where r j and ± j are random values in the group Z / qZ .</p> |
