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While the algorithm is often called the Itoh-Tsujii algorithm, it was first presented by Feng <ref>{{cite journal |title=A {VLSI} architecture for fast inversion in {{math|GF(2<sup>''m''</sup>)}}|journal=[[IEEE Transactions on Computers]] |volume=38 |issue=10 |pages=1383-1386 |date=1989 |first=Gui-Liang |last=Feng}}</ref>.
Feng's paper was received on March 13, 1987 and published in October 1989. Itoh and Tsujii's paper was received on July 8, 1987 and published in 1988 <ref>{{cite journal |journal=[[Information and Computation]]|volume=78 |pages=171-177 |date=1988 |first1=Toshiya |last1=Itoh|first2=Shigeo |last2=Tsujii |title=A fast algorithm for computing multiplicative inverses in {{math|GF(2<sup>''m''</sup>)}} }}</ref>.
This algorithm is first used to invert elements in [[finite field]] {{math|GF(2<sup>''m''</sup>)}} using
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