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

Download Full-text

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 ◽

Gauss Periods

Download Full-text

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 ◽

Cited By ~ 1

Author(s):

Rajendra K. Sharma ◽

Ambrish Awasthi ◽

Anju Gupta

Keyword(s):

Finite Fields ◽

Primitive Elements ◽

Characteristic 2

Download Full-text

Some primitive elements for the Artin–Schreier extensions of finite fields

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2548-5 ◽

2015 ◽

Vol 210 (1) ◽

pp. 67-75 ◽

Cited By ~ 1

Author(s):

Roman B. Popovych

Keyword(s):

Finite Fields ◽

Primitive Elements

Download Full-text

Pair of primitive elements with prescribed traces over finite fields

Communications in Algebra ◽

10.1080/00927872.2018.1503283 ◽

2019 ◽

Vol 47 (3) ◽

pp. 1278-1286 ◽

Cited By ~ 2

Author(s):

R. K. Sharma ◽

Anju Gupta

Keyword(s):

Finite Fields ◽

Primitive Elements

Download Full-text

Primitive elements in finite fields and costas arrays

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/bf01810854 ◽

1991 ◽

Vol 2 (1) ◽

pp. 45-53 ◽

Cited By ~ 11

Author(s):

Stephen D. Cohen ◽

Gary L. Mullen

Keyword(s):

Finite Fields ◽

Primitive Elements

Download Full-text

Normal bases and primitive elements over finite fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2013.12.002 ◽

2014 ◽

Vol 26 ◽

pp. 123-143 ◽

Cited By ~ 6

Author(s):

Giorgos Kapetanakis

Keyword(s):

Finite Fields ◽

Primitive Elements ◽

Normal Bases

Download Full-text

Character Sums, Primitive Elements, and Powers in Finite Fields

Journal of Number Theory ◽

10.1006/jnth.2001.2675 ◽

2001 ◽

Vol 91 (1) ◽

pp. 153-163 ◽

Cited By ~ 3

Author(s):

Arne Winterhof

Keyword(s):

Finite Fields ◽

Character Sums ◽

Primitive Elements

Download Full-text

On primitive elements in finite fields of low characteristic

Finite Fields and Their Applications ◽

10.1016/j.ffa.2015.03.007 ◽

2015 ◽

Vol 35 ◽

pp. 64-77 ◽

Cited By ~ 3

Author(s):

Abhishek Bhowmick ◽

Thái Hoàng Lê

Keyword(s):

Finite Fields ◽

Primitive Elements

Download Full-text

An Algebraic Construction of Quasi-Cyclic LDPC Codes Based on the Conjugates of Primitive Elements over Finite Fields

2018 IEEE 18th International Conference on Communication Technology (ICCT) ◽

10.1109/icct.2018.8600012 ◽

2018 ◽

Author(s):

Muhammad Asif ◽

Wuyang Zhou ◽

Juma Saidi Ally ◽

Nauman Ali Khan ◽

Zain ul Abiden Akhtar

Keyword(s):

Finite Fields ◽

Ldpc Codes ◽

Primitive Elements ◽

Algebraic Construction

Download Full-text

On the Existence of Some Specific Primitive Elements over Finite Fields of Even Characteristic

2012 Fifth International Conference on Intelligent Computation Technology and Automation ◽

10.1109/icicta.2012.66 ◽

2012 ◽

Author(s):

Xiao Zhang ◽

Peipei Wang ◽

Xiwang Cao ◽

Zhiming Zheng

Keyword(s):

Finite Fields ◽

Primitive Elements

Download Full-text