Title :
Fault-Tolerant Bit-Parallel Multiplier for Polynomial Basis of GF(2m)
Author :
Lee, Chiou-Yng ; Lee, Wen-Yo ; Meher, Pramod Kumar
Author_Institution :
Comput. Inf. & Network Eng., Lunghwa Univ. of Sci. & Technol., Taoyuan
Abstract :
In this paper, we present novel fault-tolerant architecture for bit-parallel polynomial basis multiplier over GF(2m) which can correct the erroneous outputs using linear code. We have designed a parity prediction circuit based on the code generator polynomial that leads lower space overhead. For bit-parallel architectures, the space overhead is about 11%. Moreover, there is only marginal time overhead due to incorporation of error-correction capability that amounts to 3.5% in case of the bit-parallel multiplier. Unlike the existing concurrent error correction (CEC) multipliers or triple modular redundancy (TMR) techniques for single error correction, the proposed architectures have multiple error-correcting capabilities.
Keywords :
error correction; error correction codes; fault tolerant computing; multiplying circuits; bit-parallel architectures; bit-parallel polynomial basis multiplier; code generator polynomial; concurrent error correction multipliers; erroneous outputs; error-correction capability; fault-tolerant architecture; fault-tolerant bit-parallel multiplier; linear code; multiple error-correcting capabilities; parity prediction circuit; single error correction; triple modular redundancy; Computer errors; Cryptography; Error correction; Error correction codes; Fault tolerance; Galois fields; Hardware; Linear code; Polynomials; Redundancy;
Conference_Titel :
Testing and Diagnosis, 2009. ICTD 2009. IEEE Circuits and Systems International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-2587-7
DOI :
10.1109/CAS-ICTD.2009.4960824