Integer Factorization with a Neuromorphic Sieve

Autor:	Monaco, John V., Vindiola, Manuel M.
Rok vydání:	2017
Předmět:	Computer Science - Neural and Evolutionary Computing Computer Science - Cryptography and Security
Zdroj:	Monaco, John V., and Manuel M. Vindiola. "Integer factorization with a neuromorphic sieve." Circuits and Systems (ISCAS), 2017 IEEE International Symposium on. IEEE, 2017
Druh dokumentu:	Working Paper
Popis:	The bound to factor large integers is dominated by the computational effort to discover numbers that are smooth, typically performed by sieving a polynomial sequence. On a von Neumann architecture, sieving has log-log amortized time complexity to check each value for smoothness. This work presents a neuromorphic sieve that achieves a constant time check for smoothness by exploiting two characteristic properties of neuromorphic architectures: constant time synaptic integration and massively parallel computation. The approach is validated by modifying msieve, one of the fastest publicly available integer factorization implementations, to use the IBM Neurosynaptic System (NS1e) as a coprocessor for the sieving stage. Comment: Fixed typos in equation for modular roots (Section II, par. 6; Section III, par. 2) and phase calculation (Section IV, par 2)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.03768 Zobrazit plný text záznamu View this record from Arxiv