Abstract
AbstractArithmetic operations on a finite field are now often used in error control or digital signal processing and there is need for a more practical method for carrying out these operations. A detailed discussion is given of the arithmetic operations, with the elements of finite field represented as powers. In other words, the addition table which can be constructed is of the order of 1/(2 · m) of the Zech logarithmic table. A detailed discussion is given of its construction algorithm, and a practical arithmetic operation algorithm using the table is presented. The size of the addition table is estimated and a storage scheme is considered for the addition table over a finite field with index 2. It is also shown that the addition table is easily set up on a computer.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Electronics and Communications in Japan (Part I: Communications)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
