On the complexity of the normal bases via prime Gauss period over finite fields

Journal of Systems Science and Complexity ◽

10.1007/s11424-009-9172-8 ◽

2009 ◽

Vol 22 (3) ◽

pp. 395-406 ◽

Author(s):

Qunying Liao ◽

Keqin Feng

Keyword(s):

Finite Fields ◽

Gauss Period ◽

Download Full-text

Factoring polynomials over finite fields using differential equations and normal bases

Mathematics of Computation ◽

10.1090/s0025-5718-1994-1216262-2 ◽

1994 ◽

Vol 62 (206) ◽

pp. 819-819 ◽

Author(s):

Harald Niederreiter

Keyword(s):

Differential Equations ◽

Finite Fields ◽

Normal Bases ◽

Polynomials Over Finite Fields ◽

Factoring Polynomials

Download Full-text

Optimal Normal Bases Over Finite Fields

International Journal of Mathematics Trends and Technology ◽

10.14445/22315373/ijmtt-v67i6p508 ◽

2021 ◽

Vol 67 (6) ◽

pp. 58-61

Author(s):

Duggirala Meher Krishna ◽

Duggirala Ravi

Keyword(s):

Finite Fields ◽

Download Full-text

Gauss Period, Sparse Polynomial, Redundant Basis, and Efficient Exponentiation for a Class of Finite Fields with Small Characteristic

Algorithms and Computation - Lecture Notes in Computer Science ◽

10.1007/978-3-540-24587-2_75 ◽

2003 ◽

pp. 736-745

Author(s):

Soonhak Kwon ◽

Chang Hoon Kim ◽

Chun Pyo Hong

Keyword(s):

Finite Fields ◽

Gauss Period ◽

Sparse Polynomial

Download Full-text

A Necessary Condition for Gauss Period Normal Bases to Be the Same Normal Basis

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1093/ietfec/e91-a.4.1229 ◽

2008 ◽

Vol E91-A (4) ◽

pp. 1229-1232

Author(s):

Y. NOGAMI ◽

R. NAMBA ◽

Y. MORIKAWA

Keyword(s):

Normal Basis ◽

Necessary Condition ◽

Gauss Period ◽

Download Full-text

Constructing normal bases in finite fields

Journal of Symbolic Computation ◽

10.1016/s0747-7171(08)80158-7 ◽

1990 ◽

Vol 10 (6) ◽

pp. 547-570 ◽

Author(s):

Joachim von zur Gathen ◽

Mark Giesbrecht

Keyword(s):

Finite Fields ◽

Download Full-text

Characterization and synthesis of self-complementary normal bases in finite fields

Linear Algebra and its Applications ◽

10.1016/0024-3795(88)90171-1 ◽

1988 ◽

Vol 98 ◽

pp. 331-346 ◽

Author(s):

Abraham Lempel

Keyword(s):

Finite Fields ◽

Download Full-text

Explicit formulas for self-complementary normal bases in certain finite fields

IEEE Transactions on Information Theory ◽

10.1109/18.86978 ◽

1991 ◽

Vol 37 (4) ◽

pp. 1220-1222 ◽

Author(s):

A. Lempel ◽

G. Seroussi

Keyword(s):

Finite Fields ◽

Explicit Formulas ◽

Download Full-text

Explicit Iterative Constructions of Normal Bases and Completely Free Elements in Finite Fields

Finite Fields and Their Applications ◽

10.1006/ffta.1996.0001 ◽

1996 ◽

Vol 2 (1) ◽

pp. 1-20 ◽

Author(s):

Dirk Hachenberger

Keyword(s):

Finite Fields ◽

Download Full-text

On a quick multiplication in normal bases of finite fields

Discrete Mathematics and Applications ◽

10.1515/dma.2001.11.4.327 ◽

2001 ◽

Vol 11 (4) ◽

Author(s):

A. A. BOLOTOV ◽

S. B. GASHKOV

Keyword(s):

Finite Fields ◽

Download Full-text

Construction of Normal Bases over Finite Fields

JOURNAL OF COMBINATORICS INFORMATION & SYSTEM SCIENCES ◽

10.32381/jciss.2018.43.1-4.1 ◽

2018 ◽

Vol 43 (1-4) ◽

pp. 1-11

Author(s):

PROF. P. L. SHARMA ◽

◽

Kiran Devi ◽

Arun Kumar ◽

◽

...

Keyword(s):

Finite Fields ◽

Download Full-text