His primary area of research is computer science, and in particular on error-correcting codes.

I'd be amazed if the procedures and the error-correcting codes are any different.

Error-correcting codes are common especially in wireless communication systems and broadband modem standards.

In the 1950s applications to error-correcting codes diversified and strengthened this research.

Any error-correcting code can be used for error detection.

In coding theory, the repetition code is one of the most basic error-correcting codes.

Similar ideas lead to the error-correcting codes which make it possible for computers to communicate reliably.

Error-correcting codes The need for error-detection/correction in a variety of applications.

We present a new family of error-correcting codes for the binary symmetric channel.

See Hamming code for an example of an error-correcting code.

Data in a frame is typically protected from channel errors by error-correcting codes.

In the other, a receiver can use an error-correcting code, which automatically corrects certain errors.

The intuition in this proof is that polynomials form good error-correcting codes.

It encountered hardware problems so seldom that the automatic error-correcting codes were called on only a couple of times a year.

When each pair of codewords has large Hamming distance, it can be used as an error-correcting code.

AN codes are error-correcting code that are used in arithmetic applications.

Pass the resultant bit stream on for further processing such as removal of any error-correcting codes.

The actual maximum code rate allowed depends on the error-correcting code used, and may be lower.

Reliability and inspection engineering also make use of the theory of error-correcting codes.

One highly practical application of modern algebra and combinatorics is in error-correcting codes.

The theory of error-correcting codes depends on the existence of finite fields.

The Hamming graphs are interesting in connection with error-correcting codes and association schemes, to name two areas.

His major contributions are in the fields of combinatorics, error-correcting codes, and sphere packing.

CRCs are based on the theory of cyclic error-correcting codes.

Physical integrity often makes extensive use of error detecting algorithms known as error-correcting codes.

The use of a torus is not required to form an error correcting code.

This class of error correcting codes was published by Hocquenghem in 1959.

Error correcting codes are usually applied equally to the whole payload.

It could be used like error correcting code.

One notable case occurs in the decoding of certain error correcting codes.

They have applications in the design of experiments and in error correcting codes.

Without error correcting codes, digital audio would not be technically feasible.

Applications to cryptography, error correcting codes, robot motion planning, and others.

Good error correcting codes based on very sparse matrices.

After having looked at error correcting codes my attention turned to taking care of errors which would happen while we are trying to correct errors.

After accounting for error correcting codes and other overhead, the data rate in the signal is 19.39 Mbit/s.

Typical NOR flash does not need an error correcting code.

This property allows many error correcting codes to function normally even when applied before encryption.

Ways to fight intersymbol interference include adaptive equalization and error correcting codes.

Emphasis is on single error correcting codes.

Golomb rulers are used within Information Theory related to error correcting codes.

Interleaving is frequently used in digital communication and storage systems to improve the performance of forward error correcting codes.

The study of function fields over a finite field has applications in cryptography and error correcting codes.

A quantum error correcting code protects quantum information against errors of a limited form.

DFSs can also be characterized as a special class of quantum error correcting codes.

The reciprocal polynomial finds a use in the theory of cyclic error correcting codes.

So, hamming code is a single error correcting code over with and .

Current projects include discrete logarithms in finite fields and quantum error correcting codes.

Magma now supports error correcting codes over Galois rings.

By comparing quantum error correcting codes in this language to symplectic vector spaces, we can see the following.