The construction, estimation of minimum distance, and decoding algorithms of algebraic geometry codes can be explained without using advanced mathematics by the notion of weight domains. We clarify the relation between algebraic geometry codes and linear codes from weight domains. Then we review a systematic construction which yields all weight domains.
Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a ...
AbstractThe homology groups of a finite geometry may be regarded as linear codes; and then the minim...
C. Shannon presented theoretical conditions under which communication was possible error-free in the...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are a...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Abstract. In the literature about algebraic geometry codes one finds a lot of results improving Gopp...
This thesis shows how certain classes of binary constant weight codes can be represented geometrical...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
In this paper we present a decoding algorithm for algebraic geometry codes with error-correcting cap...
The coding theory plays an important role in improving the reliability in information and communicat...
Abstract Certain classes of binary constant weight codes can be represented geometrically using line...
In this age of information technology, methods must be found that allow errors in data transmission ...
Abstract-Improvement to an earlier decoding algorithm for codes from algebraic geometry is presented...
This paper provides a survey of the existing literature on the decoding of algebraic-geometric codes...
. The techniques of algebraic geometry have been widely and successfully applied to the study of lin...
Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a ...
AbstractThe homology groups of a finite geometry may be regarded as linear codes; and then the minim...
C. Shannon presented theoretical conditions under which communication was possible error-free in the...
In this paper we give a new lower bound for generalized algebraic geometry codes with which we are a...
Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and ...
Abstract. In the literature about algebraic geometry codes one finds a lot of results improving Gopp...
This thesis shows how certain classes of binary constant weight codes can be represented geometrical...
AbstractIn the literature about algebraic geometry codes one finds a lot of results improving Goppa’...
In this paper we present a decoding algorithm for algebraic geometry codes with error-correcting cap...
The coding theory plays an important role in improving the reliability in information and communicat...
Abstract Certain classes of binary constant weight codes can be represented geometrically using line...
In this age of information technology, methods must be found that allow errors in data transmission ...
Abstract-Improvement to an earlier decoding algorithm for codes from algebraic geometry is presented...
This paper provides a survey of the existing literature on the decoding of algebraic-geometric codes...
. The techniques of algebraic geometry have been widely and successfully applied to the study of lin...
Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a ...
AbstractThe homology groups of a finite geometry may be regarded as linear codes; and then the minim...
C. Shannon presented theoretical conditions under which communication was possible error-free in the...