Elliptic Curve,SEA algorithm,Modular Polynomials,Frobeniusendomorphism,Isogeny Cycles.
椭圆曲线，SEA算法，模多项式，Frobenius映射，Isogeny映射。
参考来源 - SEA算法的有效实现·2,447,543篇论文数据，部分数据来源于NoteExpress
多项式模归约算法是计算机代数中的基本问题之一，在编码算法和密码体制设计中有着广泛应用。
Polynomial modulo reduction algorithms are one of the fundamental issues of computer algebra, and widely used in coding algorithms and cryptographic system design.
根据模平方运算自身的特点，选用了多项式基进行运算，使模平方运算在一个时钟周期完成，比直接调用模乘运算提高一半以上的速度。
Using multinomial radix, the modular square will be finished in one period of the clock, which is faster than using the point multiplication directly.
本文用适当的多项式函数近似扩散光波导的高斯折射率分布函数，推导了导模有效折射率的解析形式渐近解。
The Gaussian index profile of a diffused optical waveguide is approximated by an appropriate polynomial, and the asymptotic solutions of the mode efficient index is derived in a analytical form.
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