SOME PROPERTIES OF VECTORIAL ADDITION CHAINS

doi:10.1080/00207169408804350

Title:	SOME PROPERTIES OF VECTORIAL ADDITION CHAINS
Authors:	CHEN, YJ CHANG, CC YANG, WP 資訊工程學系 Department of Computer Science
Keywords:	CASCADE EXPONENTIATION;MONOMIAL EVALUATION;ADDITION CHAIN;ADDITION SEQUENCE;VECTORIAL ADDITION CHAIN;THE SHORTEST VECTORIAL ADDITION CHAIN
Issue Date:	1994
Abstract:	The concept of the shortest vectorial addition chains is considered to be an optimal approach for computing a monomial Pi(i=1)(p)x(i)(ni) with the minimum number of multiplications. In this paper, some properties of the shortest vectorial addition chain are presented. Furthermore, an approach to achieve the shortest chains in some special cases is proposed. The correctness of these properties and the optimality of this approach are also shown.
URI:	http://hdl.handle.net/11536/2670 http://dx.doi.org/10.1080/00207169408804350
ISSN:	0020-7160
DOI:	10.1080/00207169408804350
Journal:	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume:	54
Issue:	3-4
Begin Page:	185
End Page:	196
Appears in Collections:	Articles