Title :
On radix representation of rings
Author :
Nielsen, Asger Munk ; Korner, Peter
Author_Institution :
Dept. of Math. & Comput. Sci., Odense Univ., Denmark
Abstract :
This paper presents a thorough analysis of radix representations of elements from general rings. In particular, we study the questions of redundancy, completeness and mappings into such representations. After a brief description of the more usual representations of integers, a more detailed analysis of various complex number systems is performed. This includes the “classical” complex number systems for the Gaussian integers, as well as the Eisenstein integers
Keywords :
algebra; arithmetic; number theory; redundancy; Eisenstein integers; Gaussian integers; completeness; complex number systems; mappings; radix representation; redundancy; rings; Atomic measurements; Computer science; Councils; Digital arithmetic; Hardware; Mathematics; Modems; Performance analysis; Polynomials; Signal processing algorithms;
Conference_Titel :
Computer Arithmetic, 1997. Proceedings., 13th IEEE Symposium on
Conference_Location :
Asilomar, CA
Print_ISBN :
0-8186-7846-1
DOI :
10.1109/ARITH.1997.614877
