About Special Elements in Quaternion Algebras Over Finite Fields

被引：0
作者：
Diana Savin
机构：
[1] Ovidius University,Faculty of Mathematics and Computer Science
来源：
Advances in Applied Clifford Algebras | 2017年 / 27卷
关键词：
Fibonacci number; Fibonacci quaternion; Finite field; Generalized Fibonacci–Lucas quaternion; Lucas number; Quaternion algebra; Primary 11R52; 11B39; Secondary 15A06; 16G30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we study special Fibonacci quaternions and special generalized Fibonacci–Lucas quaternions in quaternion algebras over finite fields.
引用
收藏
页码：1801 / 1813
页数：12
相关论文
共 50 条
[41]   A note on Nullstellensatz over finite fields [J].
Ghorpade, Sudhir R. .
CONTRIBUTIONS IN ALGEBRA AND ALGEBRAIC GEOMETRY, 2019, 738 :23-32
[42]   Constacyclic codes over finite fields [J].
Chen, Bocong ;
Fan, Yun ;
Lin, Liren ;
Liu, Hongwei .
FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (06) :1217-1231
[43]   Consensus networks over finite fields [J].
Pasqualetti, Fabio ;
Borra, Dornenica ;
Bullo, Francesco .
AUTOMATICA, 2014, 50 (02) :349-358
[44]   Vanishing Ideals over Finite Fields [J].
A. Tochimani ;
R. H. Villarreal .
Mathematical Notes, 2019, 105 :429-438
[45]   On the equational graphs over finite fields [J].
Mans, Bernard ;
Sha, Min ;
Smith, Jeffrey ;
Sutantyo, Daniel .
FINITE FIELDS AND THEIR APPLICATIONS, 2020, 64
[46]   Counting curves over finite fields [J].
van der Geer, Gerard .
FINITE FIELDS AND THEIR APPLICATIONS, 2015, 32 :207-232
[47]   Vanishing Ideals over Finite Fields [J].
Tochimani, A. ;
Villarreal, R. H. .
MATHEMATICAL NOTES, 2019, 105 (3-4) :429-438
[48]   Synchronous Networks Over Finite Fields [J].
Wang, Jin ;
Feng, Jun-e ;
Yu, Yongyuan ;
Huang, Hua-Lin .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (11) :6907-6912
[49]   The Bessel function over finite fields [J].
Khekalo, S .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2005, 16 (03) :241-253
[50]   PERMUTATION BINOMIALS OVER FINITE FIELDS [J].
Masuda, Ariane M. ;
Zieve, Michael E. .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (08) :4169-4180
12345