Existence of pair of primitive elements over finite fields of characteristic 2

Journal of Number Theory ◽

10.1016/j.jnt.2018.05.016 ◽

2018 ◽

Vol 193 ◽

pp. 386-394 ◽

Author(s):

Rajendra K. Sharma ◽

Ambrish Awasthi ◽

Anju Gupta

Keyword(s):

Finite Fields ◽

Primitive Elements ◽

Characteristic 2

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On the existence of some specific elements in finite fields of characteristic 2

Finite Fields and Their Applications ◽

10.1016/j.ffa.2012.04.003 ◽

2012 ◽

Vol 18 (4) ◽

pp. 800-813 ◽

Author(s):

Peipei Wang ◽

Xiwang Cao ◽

Rongquan Feng

Keyword(s):

Finite Fields ◽

Characteristic 2

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On equations of finite fields of characteristic 2 and APN functions

AKCE International Journal of Graphs and Combinatorics ◽

10.1016/j.akcej.2015.11.001 ◽

2015 ◽

Vol 12 (2-3) ◽

pp. 75-93

Author(s):

Nobuo Nakagawa

Keyword(s):

Finite Fields ◽

Apn Functions ◽

Characteristic 2

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On primitive elements of finite fields avoiding affine hyperplanes

Finite Fields and Their Applications ◽

10.1016/j.ffa.2021.101911 ◽

2021 ◽

Vol 76 ◽

pp. 101911

Author(s):

Arthur Fernandes ◽

Lucas Reis

Keyword(s):

Finite Fields ◽

Primitive Elements

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Sparse polynomials, redundant bases, gauss periods, and efficient exponentiation of primitive elements for small characteristic finite fields

Designs Codes and Cryptography ◽

10.1007/s10623-006-9016-7 ◽

2006 ◽

Vol 41 (3) ◽

pp. 299-306

Author(s):

Soonhak Kwon ◽

Chang Hoon Kim ◽

Chun Pyo Hong

Keyword(s):

Finite Fields ◽

Primitive Elements ◽

Sparse Polynomials ◽

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Inversion in finite fields of characteristic 2 using logarithmic depth

Moscow University Mathematics Bulletin ◽

10.3103/s0027132207010068 ◽

2007 ◽

Vol 62 (1) ◽

pp. 29-33 ◽

Author(s):

I. S. Sergeev

Keyword(s):

Finite Fields ◽

Characteristic 2

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On complexity and depth of Boolean circuits for multiplication and inversion over finite fields of characteristic 2

Discrete Mathematics and Applications ◽

10.1515/dma-2013-001 ◽

2013 ◽

Vol 23 (1) ◽

pp. 1-37

Author(s):

S. B. Gashkov ◽

I. S. Sergeev

Keyword(s):

Finite Fields ◽

Boolean Circuits ◽

Characteristic 2 ◽

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Finding vulnerable curves over finite fields of characteristic 2 by pairing reduction

2017 IEEE/ACIS 16th International Conference on Computer and Information Science (ICIS) ◽

10.1109/icis.2017.7960080 ◽

2017 ◽

Author(s):

Yuhong Zhang ◽

Meng Zhang ◽

Maozhi Xu

Keyword(s):

Finite Fields ◽

Curves Over Finite Fields ◽

Characteristic 2

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A Hierarchical Secret Sharing Scheme over Finite Fields of Characteristic 2

Journal of Information Processing ◽

10.2197/ipsjjip.25.875 ◽

2017 ◽

Vol 25 (0) ◽

pp. 875-883

Author(s):

Koji Shima ◽

Hiroshi Doi

Keyword(s):

Finite Fields ◽

Secret Sharing ◽

Secret Sharing Scheme ◽

Sharing Scheme ◽

Characteristic 2

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Factoring ofx n?1 and orthogonalization over finite fields of characteristic 2

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/bf01270930 ◽

1995 ◽

Vol 6 (1) ◽

pp. 57-63 ◽

Author(s):

Herv� Chabanne

Keyword(s):

Finite Fields ◽

Characteristic 2

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Trace forms over finite fields of characteristic 2 with prescribed invariants

Finite Fields and Their Applications ◽

10.1016/j.ffa.2008.08.002 ◽

2009 ◽

Vol 15 (1) ◽

pp. 69-81 ◽

Author(s):

Robert W. Fitzgerald

Keyword(s):

Finite Fields ◽

Trace Forms ◽

Characteristic 2

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