Irreducibility of f (x2+x+1) and f (x2+x) and Normal Basis in Finite Field GF (22n)
Summary :
The necessary and sufficient conditions for f (x2+x+1) and f (x2+x) to be irreducible, when f (x) is irreducible, are proved. A method that produces polynomials whose roots are linearly independent (therefore form a normal basis for a finite field) is presented.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.10 pp.2040-2042
- Publication Date
- 1997/10/25
- Publicized
- Online ISSN
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- Type of Manuscript
- Category
- Information Theory and Coding Theory
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Mu-Zhong WANG, "Irreducibility of f (x2+x+1) and f (x2+x) and Normal Basis in Finite Field GF (22n)" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 10, pp. 2040-2042, October 1997, doi: .
Abstract: The necessary and sufficient conditions for f (x2+x+1) and f (x2+x) to be irreducible, when f (x) is irreducible, are proved. A method that produces polynomials whose roots are linearly independent (therefore form a normal basis for a finite field) is presented.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_10_2040/_p
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author={Mu-Zhong WANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Irreducibility of f (x2+x+1) and f (x2+x) and Normal Basis in Finite Field GF (22n)},
year={1997},
volume={E80-A},
number={10},
pages={2040-2042},
abstract={The necessary and sufficient conditions for f (x2+x+1) and f (x2+x) to be irreducible, when f (x) is irreducible, are proved. A method that produces polynomials whose roots are linearly independent (therefore form a normal basis for a finite field) is presented.},
keywords={},
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ISSN={},
month={October},}
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TY - JOUR
TI - Irreducibility of f (x2+x+1) and f (x2+x) and Normal Basis in Finite Field GF (22n)
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2040
EP - 2042
AU - Mu-Zhong WANG
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1997
AB - The necessary and sufficient conditions for f (x2+x+1) and f (x2+x) to be irreducible, when f (x) is irreducible, are proved. A method that produces polynomials whose roots are linearly independent (therefore form a normal basis for a finite field) is presented.
ER -
English
