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A redundant representation of GF(qn) for designing arithmetic circuits

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2 Author(s)
Geiselmann, Willi ; Fakultat fur Inf., Karlsruhe Univ., Germany ; Steinwandt, Rainer

Generalizing a construction of Silverman (1999), we describe a redundant representation of finite fields GF(qn), where computations in GF(qn) are realized through computations in a suitable residue class algebra. Our focus is on fields of characteristic ≠ 2 and we show that the representation discussed here can, in particular, be used for designing a highly regular multiplication circuit for GF(qn).

Published in:
Computers, IEEE Transactions on  (Volume:52 ,  Issue: 7 )

Date of Publication: Jul 2003

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