1 Boneh-Franlin的IBE算法主要由四个子算法组成：Setup，Extract，Encrypt和Decrypt，分别完成系统参数建立、密钥提取、加密和解密的功能。假定消息的明文空间为 ，密文空间 。 (1)、建立: 给定一个安全参数 k蝂+ Step 1: 执行G生成一个素数q， 两个q阶群G1， G2 ， 和一个可用的双线性映射 ê: G1碐1瓽2。 此外选取G1 任一生成元 P蜧1，再选取两个HASH函数 H3:{ 0， 1}n×{0， 1}n。 -?， H4:。 :{ 0，

RSA算法,实现完整。将两个大素数相乘十分容易，但那时想要对其乘积进行因式分解却极其困难，因此可以将乘积公开作为加密密钥。-RSA algorithm based on a very simple fact: the number multiplies two large prime number is very easy, but then to factorization of its product is extremely difficult, so it can be disclose

A new stream cipher, Grain-128, is proposed. The design is very small in hardware and it targets environments with very limited resources in gate count, power consumption, and chip area. Grain-128 supports key size of 128 bits and IV size of 96 bits.