Rounding Theorem the Possibility of Applying Cryptosystems on Decimal Numbers | Science Publications

摘要

> Possibility of using decimal numbers in cryptography as base of the encryption and decryption was proposed by introducing the "Rounding Theorem". Until now, cryptosystems used the integer numbers to avoid the fractions of the decimal numbers to avoid losing the original plaintext after the decryption. This theorem proved that there was no lost for any bit of information during communications when using a cryptosystem based on decimal numbers. The purpose of moving from integer numbers to decimal numbers was decimal numbers much faster during calculations than the integer numbers. We designed a new function called "The Rounding off Function", which plays the primary role in proving this theorem.