This chapter treats error-correcting codes and their weight enumerator as the center of several closely related topics such as arrangements of hyperplanes, graph theory, matroids, posets and geometric lattices and their characteristic, chromatic, Tutte, Möbius and coboundary polynomial, respectively. Their interrelations and many examples and counterexamples are given. It is concluded with a section with references to the literature for further reading and open questions
By considering a new metric, Nikov and Nikova defined the class of error-set correcting codes. These...
We present several new polynomial identities associated with matroids and geometric lattices and rel...
This paper gives a survey on extended and generalized weight enumerators of a linear code and the Tu...
This chapter treats error-correcting codes and their weight enumerator as the center of several clos...
Codes, arrangements, matroids, and their polynomial links Many mathematical objects are closely rela...
Contents 1 Codes 1 1.1 Encoding and decoding . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Wei...
Many research in coding theory is focussed on linear error-correcting codes. Since these codes are s...
In this thesis we first give a survey of linear error-correcting codes, and how many of their most i...
A linear code can be thought of as a vector matroid represented by the columns of code's genera...
Many mathematical objects are closely related to each other. While studying certain aspects of a mat...
This paper is about the coset leader and list weight enumerators and their extensions using the theo...
We first describe linear error-correcting codes, and show how many of their most important propertie...
By considering a new metric, Nikov and Nikova defined the class of error-set correcting codes. These...
The main notion behind the study of matroids is linear dependence. In this thesis, we give a survey ...
The strong interplay between codes and matroids has generated a considerable interest in the discret...
By considering a new metric, Nikov and Nikova defined the class of error-set correcting codes. These...
We present several new polynomial identities associated with matroids and geometric lattices and rel...
This paper gives a survey on extended and generalized weight enumerators of a linear code and the Tu...
This chapter treats error-correcting codes and their weight enumerator as the center of several clos...
Codes, arrangements, matroids, and their polynomial links Many mathematical objects are closely rela...
Contents 1 Codes 1 1.1 Encoding and decoding . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Wei...
Many research in coding theory is focussed on linear error-correcting codes. Since these codes are s...
In this thesis we first give a survey of linear error-correcting codes, and how many of their most i...
A linear code can be thought of as a vector matroid represented by the columns of code's genera...
Many mathematical objects are closely related to each other. While studying certain aspects of a mat...
This paper is about the coset leader and list weight enumerators and their extensions using the theo...
We first describe linear error-correcting codes, and show how many of their most important propertie...
By considering a new metric, Nikov and Nikova defined the class of error-set correcting codes. These...
The main notion behind the study of matroids is linear dependence. In this thesis, we give a survey ...
The strong interplay between codes and matroids has generated a considerable interest in the discret...
By considering a new metric, Nikov and Nikova defined the class of error-set correcting codes. These...
We present several new polynomial identities associated with matroids and geometric lattices and rel...
This paper gives a survey on extended and generalized weight enumerators of a linear code and the Tu...