Affiliation:
1. Towson University, Towson, MD
2. Air Force Office of Scientific Research, Arlington, VA
Abstract
Hensel code was originally defined by Krishnamurthy, Rao and Subramanian [1], which was developed from the
P
--adic number system first proposed by Hensel in 1900s. The purpose was to realize exact computation for rational numbers. The Hensel code arithmetic has been well developed [1, 2, 3], but the problem of detecting Hensel code overflow and underflow has not been properly addressed [3]. In this paper, we proposed a method for Hensel code overflow detection. The method can realize overflow detection by the prime
p
and the Hensel code itself. Using this method, a few digits of the Hensel code will be sacrificed.
Funder
Air Force Office of Scientific Research
Publisher
Association for Computing Machinery (ACM)
Cited by
4 articles.
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1. PIE: p-adic Encoding for High-Precision Arithmetic in Homomorphic Encryption;Applied Cryptography and Network Security;2023
2. Anatomy of Metadata for Data Curation;Journal of Data and Information Quality;2020-09-30
3. Overflow detection in multipleP-adic parallel implementation;Proceedings of the 2014 Conference on Research in Adaptive and Convergent Systems - RACS '14;2014
4. Parallel Implementation of Exact Matrix Computation Using Multiple P-adic Arithmetic;2013 14th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing;2013-07