In order to securely and efficiently realize Eta bilinear pairing over binary fields in crypto chip, a power analysis resistant algorithm was proposed based on square method. The key masking and data masking schemes based on square method were researched respectively, and the implementation details of power analysis resistant algorithm were given based on square method. In typical fields, the implementation efficiency oi power analysis resistant algorithm based on square method was increased by 10% or more compared to the algorithm based on square root method, and the proposed algorithm did not need to store any pre-computational variable. Furthermore, the idea of loop unrolling methods in characteristic three was expanded to the proposed algorithm, which further increased the implementation efficiency by about 3%. With the improvement of efficiency and optimization of storage, the proposed algorithm is more suitable for secure crypto chip.%为了在密码芯片中安全快速地实现二元扩域Eta双线性对,提出了基于平方方法的抗功耗攻击实现算法.分别研究了基于平方方法的密钥盲化和明文盲化方案,给出了具体的基于平方方法的抗功耗攻击算法的实现细节.在典型有限域下,基于平方方法的抗功耗攻击算法的实现效率比基于平方根方法提升10％以上,并且不需要存储任何预计算变量.另外,讨论了将目前用于三元扩域的Loop Unrolling方法的思想应用到所提算法后,进一步将运算效率提升了约3％.效率的提升和存储量的优化使得算法更适用于安全密码芯片.
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