Highly secure ellipse curve encryption and decryption method and device

Abstract

The invention discloses a coding and decoding method and device of elliptical curve, which comprises the following steps: a. obtaining or generating coding and decoding parameter E, G, n, H (), F (), Enc (), Dec (); selecting elliptical curve E and G as one point on the curve with limit area.

Description

technical field [0001] The invention relates to data encryption and decryption, in particular to an encryption and decryption method and device using elliptic curve discrete logarithm problems. Background technique [0002] Cryptographic systems are divided into symmetric cryptosystems and asymmetric cryptosystems. Symmetric cipher is also called traditional cipher algorithm, the encryption key of symmetric cipher can be deduced from the decryption key, and vice versa. In most algorithms, the same key is used for encryption and decryption. This type of cryptographic algorithm is sometimes called a secret key algorithm or a single key algorithm, which requires the sender and receiver to agree on a key before secure communication. The security of symmetric ciphers depends on the secrecy of the key. Leaking the key means that anyone who has the key can encrypt and decrypt the message. Generally, the operation speed of symmetric cryptography is very fast, but how to securely ...

AI Technical Summary

Problems solved by technology

Although the MV encryption method solves the problem of plaintext embedding in ECC, all public research results show that it only has a lower level of security like ElGamal's encryption method—IND_CPA, which cannot reach the security of IND_CCA2

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