Data encryption method, data decryption method and nodes

Abstract

The present invention provides a data encryption method, a data decryption method, a transmitting node and a receiving node, wherein said data encryption method includes : the transmitting node acquires the pre-set parameter group, key and data information of an elliptic curve; the transmitting node calculates and obtains the data encryption information according to the parameter group, key and data information of the elliptic curve, and sends said data encryption information to the receiving node; wherein, the elliptic curve is converted into an equation under a projection coordinate system when calculating the data encryption information, and the multiplying point operation on the elliptic curve is converted into calculation under the projection coordinate system according to the correspondence between the affine point of the elliptic curve and the projection point on the equation. The present invention may reduce the operation quantity for data encryption and data decryption of the elliptic curve public key password system and may enable the elliptic curve public key password system to be applied to 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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