Cubic Root Extractors of Gaussian Integers and Their Application in Fast Encryption for Time-Constrained Secure Communication

• 作者: Boris 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: Cryptographic Protocol Secure Communication Time-Constrained ENCRYPTION CUBIC ROOT Extractor GAUSSIAN INTEGERS Modular Arithmetic Prefix/Suffix Positioning Digital Isotope Quadratic Residue Jacoby Symbol
• 年，卷（期）: 2011,（4）
• 页码范围: 197-204
• 页数: 8页
• 分类号: O1

摘要

There are settings where encryption must be performed by a sender under a time constraint. This paper de-scribes an encryption/decryption algorithm based on modular arithmetic of complex integers called Gaus-sians. It is shown how cubic extractors operate and how to find all cubic roots of the Gaussian. All validations (proofs) are provided in the Appendix. Detailed numeric illustrations explain how to use the method of digital isotopes to avoid ambiguity in recovery of the original plaintext by the receiver.