Data encryption method, data decryption method and nodes

Abstract

The invention provides a data encryption method, a data decryption method and nodes. The data encryption method comprises that: a transmitting node acquires a parameter group, a key and data information of a preset elliptic curve; and the transmitting node calculates data encryption information by using the parameter group, the key and the data information of the elliptic curve, and transmits the data encryption information to a receiving node, wherein in the process of calculating the data encryption information, the transmitting node converts the elliptic curve into an equation under a projection coordinate system, operates multiple points on the elliptic curve by using the corresponding relationship between an affine point on the elliptic curve and a projection point on the equation, and converts the multiple points under the projection coordinate system to perform operation. The method can reduce the operation amount of data encryption and decryption of an elliptic curve public key password system so that the elliptic curve public key password system can be applied in a wireless sensing node of a wireless sensing network.

Description

technical field [0001] The invention relates to the technical field of Elliptic Curve Cryptography (ECC, Elliptic Curve Cryptography), in particular to a data encryption and data decryption method, a sending node and a receiving node based on an elliptic curve public key cryptosystem. Background technique [0002] Cryptosystems can generally be divided into two types: symmetric cryptosystems and public key cryptosystems. Among them, the public key cryptography system was independently proposed by Diffie-Hellman and Merkle. The first paper on public key cryptography, multiuser cryptographic techniques, was submitted to the National Computer Conference in the United States in June 1976. Now more commonly used public key cryptosystems include RSA public key cryptosystem, elliptic curve cryptosystem and so on. Among the existing public key cryptosystems, the elliptic curve cryptosystem is the one with the highest level of encryption per bit among the currently known public key ...

AI Technical Summary

Problems solved by technology

[0004] In the existing elliptic curve public-key cryptosystem, it is necessary to perform point-multiply calculation on the elliptic curve, and the inversion operation in the point-multiply calculation requires a very large amount of calculation, which will consume a lot of computing resources. The hardware of the node equipment of the cryptographic system has very high requirements, which limits the application of the elliptic curve public key cryptosystem on some node terminals with limited functions (such as wireless sensor nodes)

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