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Patent

Simple and effective public-key cryptosystem

Shyue-Ching Lu, +1 more
- Vol. 9, pp 15-24
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TLDR
A public encryption key (c 1, c 2, r) in which r is the product of two relatively prime numbers, and in which c 1 and r, as well as c 2 and r are relatively prime number, is used in an encryption algorithm x =csub1 msub1 +csub2 msub2 (mod r) The decryption algorithm will be equivalent to solving simultaneous linear equations derived from the encryption algorithm as mentioned in this paper.
Abstract
A public encryption key (c 1 , c 2 , r) in which r is the product of two relatively prime numbers, and in which c 1 and r, as well as c 2 and r, are relatively prime numbers, is used in an encryption algorithm x=csub1 msub1 +csub2 msub2 (mod r) The decryption algorithm will be equivalent to solving simultaneous linear equations derived from the encryption algorithm Thus, both encrypting and decrypting are quite simplified while still maintaining a high degree of security

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References
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Journal ArticleDOI

A method for obtaining digital signatures and public-key cryptosystems

TL;DR: An encryption method is presented with the novel property that publicly revealing an encryption key does not thereby reveal the corresponding decryption key.
Journal ArticleDOI

Hiding information and signatures in trapdoor knapsacks

TL;DR: Specific instances of the knapsack problem that appear very difficult to solve unless one possesses "trapdoor information" used in the design of the problem are demonstrated.
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Cryptographic apparatus and method

TL;DR: In this paper, a cryptographic system transmits a computationally secure cryptogram over an insecure communication channel without prearrangement of a cipher key, where the cipher key is generated by the conversers from transformations of exchanged transformed signals.