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A scalable unified multiplier for both prime fields GF(P) and binary extension fields GF(2k), where P=2m-1 and GF(2k) is generated by an irreducible all one polynomial. The proposed unified dual-field multiplier uses the LSB-first bit-serial architecture for multiplication in GF(P) and GF(2k) other than the Montgomery multiplication algorithm, which has been employed by most existing dual-field multipliers...
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