Title
On the Arithmetic Complexities of Hamming Codes and Hadamard Codes.
Abstract
In this paper, we study the arithmetic complexities of Hamming codes and Hadamard codes. To begin with, we present the minimum number of required exclusive-ORs~(XORs) in the encoding of (punctured)~Hadamard codes and (extended)~Hamming codes. Then the encoding algorithms for these codes are presented to achieve the lower bound.
Year
Venue
Field
2018
arXiv: Information Theory
Hamming code,Discrete mathematics,Encoding algorithm,Upper and lower bounds,Arithmetic,Hadamard transform,Mathematics,Encoding (memory)
DocType
Volume
Citations 
Journal
abs/1804.09903
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Zhengrui Li100.34
Sian-Jheng Lin200.68
Honggang Hu3155.92