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Two hardware implementations of the group operations necessary for implementing an elliptic curve cryptosystem over a characteristic two finite field

机译:在特征两个有限字段上实现椭圆曲线密码系统所需的两个硬件实现

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Two FPGA (field-programmable gate array) implementations of the elliptic curve scalar multiplication operation are presented. The main design objective influencing all implementation decisions was complete scalability. Scalability refers to being able to change both the field size and the elliptic curve parameters without reprogramming the hardware. Measures were taken during the design process to ensure near-optimal performance for the set of algorithms used despite the scalable nature of the hardware. A new field multiplication algorithm is used in one of the implementations, improving performance by approximately 50%.
机译:呈现了两个FPGA(现场可编程门阵列)椭圆曲线标量乘法操作的实现。主要的设计目标影响所有实施决策是完全可扩展性。可扩展性是指能够在不重新编程硬件的情况下更改字段大小和椭圆曲线参数。在设计过程中采取措施,以确保尽管硬件的可扩展性质,但仍然可以确保使用的算法集的近最佳性能。一种新的现场乘法算法在其中一个实现中使用,提高性能大约50%。

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