Hamming codes are perfect codes, that is, they achieve the highest possible rate for codes with their block length and minimum distance of three. [1] Richard W. Hamming invented Hamming codes in 1950 ...

Richard W. Hamming invented Hamming codes in 1950 as a way of automatically correcting errors introduced by punched card readers. In his original paper, Hamming elaborated his general idea, but ...

In this paper, we investigate the encoding circuit size of Hamming codes and Hadamard codes. To begin with, we prove lower bounds of encoding circuit size required in the encoding of (punctured) ...

Codes' properties are compared and Hamming code CED system check equipment synthesis method is described on the example of code with 4 informational bits checker design.

Coding theory has had two divergent schools of thought, dating back to its origins, based on the underlying model of the noisy channel. Shannon’s theory modeled the channel as a stochastic process ...

In 1950 Bell Labs researcher, Richard W Hamming, made a discovery that would lay an important foundation for the entire modern computing and communications industries. He had invented a code for ...

You may not know the name [Richard Hamming], but you definitely use some of his work. While working for Bell Labs, he developed Hamming codes — the parent of a class of codes that detect, and ...