Title :
On the Field Multiplication Algorithms over Binary Extension Field Using Normal Basis
Author :
Qi, Minglong ; Zhong, Luo ; Guo, Qingping
Author_Institution :
Coll. of Comput. Sci. & Technol., Wuhan Univ. of Technol., Wuhan, China
Abstract :
We introduce some basic notions of the normal basis over binary extension fields, and establish a field multiplication algorithm using these bases. The article can be viewed as a short overview of the normal basis over finite fields.
Keywords :
quantum field theory; binary extension field; field multiplication algorithms; Arithmetic; Codes; Computer science; Educational institutions; Elliptic curve cryptography; Galois fields; Gaussian processes; Matrix decomposition; Polynomials; Public key cryptography;
Conference_Titel :
Research Challenges in Computer Science, 2009. ICRCCS '09. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-0-7695-3927-0
Electronic_ISBN :
978-1-4244-5410-5
DOI :
10.1109/ICRCCS.2009.47
