Title :
Signed digit representations of minimal Hamming weight
Author :
Arno, Steven ; Wheeler, Ferrell S.
Author_Institution :
Supercomput. Res. Center, Bowie, MD, USA
fDate :
8/1/1993 12:00:00 AM
Abstract :
The authors give an online algorithm for computing a canonical signed digit representation of minimal Hamming weight for any integer n. Using combinatorial techniques, the probability distributions Pr[Kr=h], where Kr is taken to be a random variable on the uniform probability space of k-digit integers is computed. Also, using a Markov chain analysis, it is shown that E(Kr)~(r-1)k /(r+1) as k→∞
Keywords :
digital arithmetic; Markov chain analysis; combinatorial techniques; k-digit integers; minimal Hamming weight; online algorithm; probability distributions; random variable; signed digit representations; uniform probability space; Digital arithmetic; Distributed computing; Greedy algorithms; Hamming weight; Probability distribution; Random variables;
Journal_Title :
Computers, IEEE Transactions on
