Breaking the data encryption standard using networks of evolutionary processors with parallel string rewriting rules

Abstract

In this paper we introduce a biologically inspired distributed computing model called networks of evolutionary processors with parallel string rewriting rules (NEPPS), which is a variation of the hybrid networks of evolutionary processors introduced by Martin-Vide et al. Such a network contains simple processors that are located in the nodes of a virtual graph. Each processor has strings (each string having multiple copies) and string rewriting rules. The rules are applied parallely on the strings. After the strings have been rewritten, they are communicated among the processors through filters. We show that we can theoretically break the DES (data encryption standard), which is the most widely used cryptosystem, using NEPPS. We prove that, given an arbitrary <plain-text, cipher-text> pair, one can recover the DES key in a constant number of steps.

Keywords:

• networks of evolutionary processors
• data encryption standard
• unconventional models of computation

2000 AMS Subject Classification :

• 68Q05
• 68Q85
• 92B05
• 03H99