A public cryptosystem based on the generated data in extension set
Kaiquan Shi, Yo-Ping Huang · 2002
Assume X/sup #/ is an extension set in the domain U. Let X/sup A/, X/sup B/ be the positive domain of X/sup #/ in which X/sup A//spl sub/X/sup #/, X/sup B//spl sub/X/sup #/, and X/sup A//spl ne/X/sup B/. X/sup A/={x/sub 1//sup A/, x/sub 2//sup A/, ..., x/sub n//sup A/}, X/sup B/={x/sub 1//sup B/, x/sub 2//sup B/, ..., x/sub n//sup B/}. /spl forall/x/sub 1//sup A/, x/sub 1//sup B//spl isin/N/sup +/, |X/sup A/|/spl ges/4, |X/sup B/|/spl ges/4. By using the accumulated generating operation, we can obtain a mathematical model from X/sup A/ and X/sup B/. From the mathematical model we also derive the sets of X'/sub A/ and X'/sub B/. Both X'/sub A/ and X'/sub B/ are the extended domains of X/sup #/. There exist polynomials p/sup A/(x), p/sup B/(x); and p/sup AB/(x) from X'/sub A/, X'/sub B/, and X/sup AB/, respectively. Based on the p/sup A/(x), p/sup B/(x), and p/sup AB/(x), we propose a new public cryptosystem. In the presented system, we have a public cryptography system from generated data in extension set X/sup #/, a public cryptosystem from two generated data in extension set X/sup #/, and a public cryptosystem from hybrid generated data in extension set X/sup #/. The proposed model is a secure system. Both sides in the communication system can depend on the proposed cryptosystem to fulfill the cryptography of the to-be-transmitted file and de-cryptograph of the cryptograph.