[PDF][PDF] A brief survey of metrics in coding theory

E Gabidulin - Mathematics of Distances and Applications, 2012 - bsi-ni.brain.riken.jp
The main objects of Coding theory are metric vector or matrix spaces. Subsets of spaces are
known as codes. The main problem is constructing codes of given pairwise distance and …

Multiple criss-cross insertion and deletion correcting codes

L Welter, R Bitar, A Wachter-Zeh… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This paper investigates the problem of correcting multiple criss-cross insertions and
deletions in arrays. More precisely, we study the unique recovery of arrays affected by-criss …

List decoding of crisscross errors

A Wachter-Zeh - IEEE Transactions on Information Theory, 2016 - ieeexplore.ieee.org
In this paper, list decoding of crisscross errors in arrays over finite fields is considered. For
this purpose, the so-called cover metric is used, where the cover of a matrix is a set of rows …

Multiple criss-cross deletion-correcting codes

L Welter, R Bitar, A Wachter-Zeh… - 2021 IEEE International …, 2021 - ieeexplore.ieee.org
This paper investigates the problem of correcting multiple criss-cross deletions in arrays.
More precisely, we study the unique recovery of n*n arrays affected by any combination of …

List decoding of crisscross error patterns

A Wachter-Zeh - 2014 IEEE International Symposium on …, 2014 - ieeexplore.ieee.org
List decoding of crisscross errors in arrays over finite fields is considered. A Johnson-like
upper bound on the maximum list size in the cover metric is derived, showing that the list of …

Construction of new codes in term‐rank metric

PH Loc - IET Communications, 2020 - Wiley Online Library
This study investigates codes in the term‐rank metric. These codes can be used to correct
crisscross errors in a () matrix. These errors can be found in memory chip arrays, in magnetic …

Criss-cross insertion and deletion correcting codes

R Bitar, L Welter, I Smagloy… - IEEE Transactions …, 2021 - ieeexplore.ieee.org
This paper studies the problem of constructing codes correcting deletions in arrays. Under
this model, it is assumed that an array can experience deletions of rows and columns. These …

Term-Rank Codes for Data Storage Systems

HL Pham - 2020 International Conference Engineering and …, 2020 - ieeexplore.ieee.org
In this paper, the data storage process is considered from the point of view of coding theory.
A hybrid of data storage systems and error-correcting code (ECC) is a promising technology …

Coding in Term-rank Metric

HL Pham, LLT Trang - 2019 6th NAFOSTED Conference on …, 2019 - ieeexplore.ieee.org
This paper investigates coding for crisscross errors in the term-rank metric. The term-rank of
a matrix equals to minimal number of row and columns that collectively contain all of non …

Baseband processing for SDR

D Lund, B Honary - … . Ed. Walter Tuttlebee. New York: Wiley, 2002 - books.google.com
Many technologies require substantial research and development to facilitate the
emergence of mature and generic software defined radio architectures, as will be evident …