The Congruence for Gauss Period

Journal of Number Theory ◽

10.1006/jnth.1994.1050 ◽

1994 ◽

Vol 48 (1) ◽

pp. 36-45 ◽

Author(s):

S. Jakubec

Keyword(s):

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

Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis

10.1109/icce-tw52618.2021.9603240 ◽

2021 ◽

Author(s):

Keiji Yoshimoto ◽

Yuta Kodera ◽

Takuya Kusaka ◽

Yasuyuki Nogami

Keyword(s):

Normal Basis ◽

Download Full-text

A Multiplication Algorithm in Fpm Such That p > m with a Special Class of Gauss Period Normal Bases

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e92.a.173 ◽

2009 ◽

Vol E92-A (1) ◽

pp. 173-181 ◽

Author(s):

Hidehiro KATO ◽

Yasuyuki NOGAMI ◽

Tomoki YOSHIDA ◽

Yoshitaka MORIKAWA

Keyword(s):

Special Class ◽

Gauss Period ◽

Normal Bases ◽

Multiplication Algorithm

Download Full-text

Cyclic Vector Multiplication Algorithm and Existence Probability of Gauss Period Normal Basis

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e94.a.172 ◽

2011 ◽

Vol E94-A (1) ◽

pp. 172-179 ◽

Author(s):

Kenta NEKADO ◽

Yasuyuki NOGAMI ◽

Hidehiro KATO ◽

Yoshitaka MORIKAWA

Keyword(s):

Normal Basis ◽

Cyclic Vector ◽

Gauss Period ◽

Multiplication Algorithm ◽

Existence Probability

Download Full-text

Finding a Basis Conversion Matrix via Prime Gauss Period Normal Basis

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e92.a.1500 ◽

2009 ◽

Vol E92-A (6) ◽

pp. 1500-1507 ◽

Author(s):

Yasuyuki NOGAMI ◽

Ryo NAMBA ◽

Yoshitaka MORIKAWA

Keyword(s):

Normal Basis ◽

Gauss Period ◽

Conversion Matrix

Download Full-text

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

Cyclic Vector Multiplication Algorithm Based on a Special Class of Gauss Period Normal Basis

ETRI Journal ◽

10.4218/etrij.07.0107.0040 ◽

2007 ◽

Vol 29 (6) ◽

pp. 769-778 ◽

Author(s):

Hidehiro Kato ◽

Yasuyuki Nogami ◽

Tomoki Yoshida ◽

Yoshitaka Morikawa

Keyword(s):

Special Class ◽

Normal Basis ◽

Cyclic Vector ◽

Gauss Period ◽

Multiplication Algorithm

Download Full-text