Publication 2008 Issue No. 8 - August Abstract - Bit-Parallel Polynomial Basis Multiplier for New Classes of Finite Fields
Bit-Parallel Polynomial Basis Multiplier for New Classes of Finite Fields
August 2008 (vol. 57 no. 8)
pp. 1023-1031
 ASCII Text x Huapeng Wu, "Bit-Parallel Polynomial Basis Multiplier for New Classes of Finite Fields," IEEE Transactions on Computers, vol. 57, no. 8, pp. 1023-1031, August, 2008.
 BibTex x @article{ 10.1109/TC.2008.67,author = {Huapeng Wu},title = {Bit-Parallel Polynomial Basis Multiplier for New Classes of Finite Fields},journal ={IEEE Transactions on Computers},volume = {57},number = {8},issn = {0018-9340},year = {2008},pages = {1023-1031},doi = {http://doi.ieeecomputersociety.org/10.1109/TC.2008.67},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on ComputersTI - Bit-Parallel Polynomial Basis Multiplier for New Classes of Finite FieldsIS - 8SN - 0018-9340SP1023EP1031EPD - 1023-1031A1 - Huapeng Wu, PY - 2008KW - Finite fields arithmeticKW - hardware architectureKW - polynomial basisKW - irreducible polynomial.VL - 57JA - IEEE Transactions on ComputersER -
Huapeng Wu, Univ of Windsor, Windsor
In this paper, three small classes of finite fields GF$(2^m)$ are found for which low complexity bit-parallel multipliers are proposed. The proposed multipliers have lower complexities compared to those based on the irreducible pentanomials. It is also shown that there does not always exist an irreducible all-one polynomial, equally-spaced polynomial, or trinomial for the new classes of fields.

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Index Terms:
Finite fields arithmetic, hardware architecture, polynomial basis, irreducible polynomial.
Citation:
Huapeng Wu, "Bit-Parallel Polynomial Basis Multiplier for New Classes of Finite Fields," IEEE Transactions on Computers, vol. 57, no. 8, pp. 1023-1031, Aug. 2008, doi:10.1109/TC.2008.67