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首页> 外文期刊>International Journal of Networking and Computing >A Performance Analysis and Evaluation of SIDH Applied Several Implementation-Friendly Quadratic Extension Fields
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A Performance Analysis and Evaluation of SIDH Applied Several Implementation-Friendly Quadratic Extension Fields

机译：SIDH应用若干实施型友好二次扩展领域的性能分析与评估

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摘要

It is well-known that quadratic extension fields (QEFs) based on optimal extension fields (OEFs) are typically used for supersingular isogeny Diffie-Hellman (SIDH) key exchange protocol. On the other hand, there is a possibility of the performance improvement of SIDH by employing other attractive choices of QEFs with efficient performing arithmetics which are based on all-one polynomial extension fields (AOPFs) and extension fields with normal basis representation (EFNs). Thus, the authors confirm that the applicability of the new candidates of QEFs for SIDH and evaluate SIDH applied the possible choices of QEFs. As a result of the experiment, the authors found that the performances of SIDH applied the QEFs based on AOPF and EFN are comparable to that of the previous QEF. Moreover, one of the QEFs based on EFN result in a new efficient implementation of the SIDH with SIDH-friendly prime given as p= 2^{e_A}3^{e_B}f+1 where e_A, e_B and $f$ are positive integers.
机译：众所周知，基于最优延伸字段（OEF）的二次扩展字段（QEF）通常用于超胶片ISOGIFIE-HELLMAN（SIDH）密钥交换协议。另一方面，通过使用具有基于全一体的多项式扩展字段（AOPFS）和具有正常基础表示的扩展字段的有效性能的QeFs的其他有吸引力的QEF选择QEFS的QEF的性能改善SIDH的可能性。因此，作者确认QEF的新候选人适用于SIDH并评估SIDH应用QEF的可能选择。由于实验结果，作者发现，基于AOPF和EFN的SIDH的性能施加了基于AOPF和EFN的QEFS与先前QEF的表现相当。此外，基于EFN的QEFS之一导致SIDH的新的高效实现，具有SIDH友好的素数，作为p = 2 ^ {e_a} 3 ^ {e_b} f + 1，其中e_a，e_b和$ f $是正的整数。

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