In this age of information technology, methods must be found that allow errors in data transmission to be detected and corrected. It is to this end that we are studying the usefulness of algebraic geometry in making more efficient codes. We will be discussing how these codes are created and their parameters. We will then compare these geometric codes with their traditional counterparts
About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves...
. The techniques of algebraic geometry have been widely and successfully applied to the study of lin...
The security of the most popular number-theory public key crypto (PKC) systems will be devastatingly...
The theory of error detecting and correcting codes is an interdisciplinary field of engineering and ...
C. Shannon presented theoretical conditions under which communication was possible error-free in the...
Algebraic geometry is often employed to encode and decode signals transmitted in communication syste...
The coding theory plays an important role in improving the reliability in information and communicat...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Codes derived from algebraic curves are called algebraic geometry (AG) codes. They provide a way to ...
Abstract-Improvement to an earlier decoding algorithm for codes from algebraic geometry is presented...
This note completes a talk given at the conference Curves over Finite Fields: past, present and futu...
This book covers the design, construction, and implementation of algebraic-geometric codes from Herm...
We show that the concept of "generalized algebraic geometry codes" which was recently introduced by ...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
This paper provides a survey of the existing literature on the decoding of algebraic-geometric codes...
About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves...
. The techniques of algebraic geometry have been widely and successfully applied to the study of lin...
The security of the most popular number-theory public key crypto (PKC) systems will be devastatingly...
The theory of error detecting and correcting codes is an interdisciplinary field of engineering and ...
C. Shannon presented theoretical conditions under which communication was possible error-free in the...
Algebraic geometry is often employed to encode and decode signals transmitted in communication syste...
The coding theory plays an important role in improving the reliability in information and communicat...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Codes derived from algebraic curves are called algebraic geometry (AG) codes. They provide a way to ...
Abstract-Improvement to an earlier decoding algorithm for codes from algebraic geometry is presented...
This note completes a talk given at the conference Curves over Finite Fields: past, present and futu...
This book covers the design, construction, and implementation of algebraic-geometric codes from Herm...
We show that the concept of "generalized algebraic geometry codes" which was recently introduced by ...
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways o...
This paper provides a survey of the existing literature on the decoding of algebraic-geometric codes...
About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves...
. The techniques of algebraic geometry have been widely and successfully applied to the study of lin...
The security of the most popular number-theory public key crypto (PKC) systems will be devastatingly...