Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra

被引：0
|
作者：
Z. Lipiński
机构：
[1] University of Opole,
来源：
Applicable Algebra in Engineering, Communication and Computing | 2021年 / 32卷
关键词：
Non-associative cryptography; Octonion cryptography; Octavian totient function; Octonion RSA algorithm; Quaternion cryptography; 68P25; 94A60; 11T71;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra.
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页码：81 / 96
页数：15
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