随着量子计算机的发展,传统的公钥加密方案,如RSA加密和椭圆曲线加密算法(Ellipticcurve cryptography,ECC)受到了严重威胁。为了对抗量子攻击,基于格的密码学引起了关注,其中环错误学习(Ring-learning with error,R-LWE)格加密算法具...随着量子计算机的发展,传统的公钥加密方案,如RSA加密和椭圆曲线加密算法(Ellipticcurve cryptography,ECC)受到了严重威胁。为了对抗量子攻击,基于格的密码学引起了关注,其中环错误学习(Ring-learning with error,R-LWE)格加密算法具有电路实现简单、抗量子攻击等优点,在硬件加密领域具有极大的应用潜力。本文从硬件应用的角度,提出并实现了一种R-LWE加密方案中多项式乘法的并行电路结构,采用了数论转换(Number theoretic transforms,NTT)方法,并使用了两个并行的蝶形运算单元。结果表明在增加较少硬件资源的情况下,本文设计的算法提升了42%的运算速度。展开更多
This paper introduces a switched hyperchaotic system that changes its behavior randomly from one subsystem to another via two switch functions, and its characteristics of symmetry, dissipation, equilibrium, bifurcatio...This paper introduces a switched hyperchaotic system that changes its behavior randomly from one subsystem to another via two switch functions, and its characteristics of symmetry, dissipation, equilibrium, bifurcation diagram, basic dynamics have been analyzed. The hardware implementation of the system is based on Field Programmable Gate Array (FPGA). It is shown that the experimental results are identical with numerical simulations, and the chaotic trajectories are much more complex.展开更多
文摘This paper introduces a switched hyperchaotic system that changes its behavior randomly from one subsystem to another via two switch functions, and its characteristics of symmetry, dissipation, equilibrium, bifurcation diagram, basic dynamics have been analyzed. The hardware implementation of the system is based on Field Programmable Gate Array (FPGA). It is shown that the experimental results are identical with numerical simulations, and the chaotic trajectories are much more complex.