Information Protection Based on Extraction of Square Roots of Gaussian Integers

• 作者: Boris S. Verkhovsky
• 来源期刊: 通讯、网络与系统学国际期刊(英文)
• 学科: 数学
• 关键词: Public Key CRYPTOSYSTEMS Square-Root EXTRACTION GAUSSIAN INTEGERS GAUSSIAN Generator Multiplicative Inverse SQUARE ROOT Algorithm Information Hiding Ambiguity of Recovery
• 年，卷（期）: 2011,（3）
• 页码范围: 133-138
• 页数: 6页
• 分类号: O1

摘要

A cryptosystem based on computation of square roots of complex integers modulo composite n is described in this paper. This paper provides an algorithm extracting a square root of Gaussian integer. Various properties of square roots and a method for finding Gaussian generators are demonstrated. The generators can be instrumental in constructing other cryptosystems. It is shown how to significantly reduce average complexity of decryption per each block of ciphertext.