Using Repeating Decimals As An Alternative To Prime Numbers In Encryption

Abstract

This article is meant to provide an additional point of view, applying known knowledge, to supply keys that have a series of non-repeating digits, in a manner that is not usually thought of. Traditionally, prime numbers are used in encryption as keys that have non-repeating sequences. Usually, non-repetition, especially of digits in a key, is very sought after in encryption. Uniqueness in a digit sequence defeats decryption. In searching for methods of non-decryptable encryption as well as ways to provide unique sequences, other than using prime numbers [5], the idea of using repeating decimals came to me. Applied correctly, a repeating decimal series of sufficient length will stand in as well for a prime number. This is so, because only numbers prime to each other will produce repeating decimals and; within the repeating sequence there is uniqueness of digit sequence.