ECC (elliptic curve cryptosystem) encryption hardware device with expandable parameter bit width

Abstract

The invention discloses an ECC (elliptic curve cryptosystem) encryption hardware device with expandable parameter bit width. The device comprises an ECC encryption / decryption control layer, a point operation layer and a domain operation layer. The ECC encryption / decryption control layer comprises a domain width control unit, an ECC encryption / decryption control unit, a storage, a data serial-parallel conversion module and four register groups supporting multi-bit-width, namely a 192-bit register group, a 224-bit register group, a 384-bit register group and a 521-bit register group. The point operation layer comprises a point adding and point double operation module and a point multiplication module. The domain operation layer comprises an operation module for addition, multiplication, square and inversion of Galoias domain. By the device suitable for FPGA (field programmable gate array) or ASIC (application specific integrated circuit), bit width of prime domain register is expandable.

Description

technical field [0001] The invention relates to the field of cryptography, in particular to an ECC encryption hardware structure and its key parts in an encryption and decryption algorithm, and belongs to the field of hardware design and system design of encryption algorithms. The invention provides an ECC encryption hardware device with scalable parameter bit width. Background technique [0002] Elliptic Curve Cryptography (ECC) was proposed by N.Koblitz and V.Miller in 1985. Elliptic curve cryptography belongs to the public key cryptosystem, which can provide the same functions as the RSA cryptosystem. However, its security is based on the difficulty of the Elliptic Curve Discrete Logarithm Problem (ECDLP). The best algorithm for solving ECDLP now has full exponential time complexity, which means that to achieve the desired level of security, elliptic curve cryptography can use shorter keys than RSA cryptography. Due to the advantage of short keys, the use of elliptic c...

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Problems solved by technology

However, high-level encryption still requires high-bit-width parameters. Therefore, it is the direction of many researchers to provide a method for expanding the parameter bit-width and its hardware implementation.

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