DocumentCode
3285200
Title
On radix representation of rings
Author
Nielsen, Asger Munk ; Korner, Peter
Author_Institution
Dept. of Math. & Comput. Sci., Odense Univ., Denmark
fYear
1997
fDate
6-9 Jul 1997
Firstpage
34
Lastpage
43
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Arithmetic, 1997. Proceedings., 13th IEEE Symposium on
Conference_Location
Asilomar, CA
ISSN
1063-6889
Print_ISBN
0-8186-7846-1
Type
conf
DOI
10.1109/ARITH.1997.614877
Filename
614877
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