Comments on" Maximum-rank arrays codes and their application to crisscross error correction"[with reply]

EM Gabidulin, RM Roth - IEEE Transactions on Information …, 1992 - ieeexplore.ieee.org
… ”-that maximum-rank n X n array codes are optimal for crisscross error correction as well-no
longer holds in general if we look at hyper-arrays (say, n x n x n arrays), or at infinite fields. …

[PDF][PDF] Comments on “Maximum-Rank Array Codes and Their Application to Crisscross Error Correction

RM Roth - IEEE Transactions on Information Theory, 1992 - academia.edu
… ’ ’ -that maximum-rank n x n array codes are optimal for crisscross error correction as well-no
longer holds in general if we look at hyper-arrays (say, nxn x n arrays), or at infinite fields. …

Tensor codes for the rank metric

RM Roth - IEEE Transactions on Information Theory, 1996 - ieeexplore.ieee.org
… We will use the term array codes for the case A = 2. A … advantage of applying the rank metric
for crisscross error correction in … infinite fields here beyond some comments and examples. …

A survey of array error control codes

PG Farrell - European Transactions on Telecommunications, 1992 - Wiley Online Library
… b-adjacent error correcting code is a binary code of this type. … The theory of criss-cross
array codes, which is based on the … I also wish to acknowledge the helpful comments of many …

Coding in Term-rank Metric

HL Pham, LLT Trang - 2019 6th NAFOSTED Conference on …, 2019 - ieeexplore.ieee.org
… The authors are grateful to Professor EM Gabidulin for comments that contributed to the …
[18] RM Roth, “Maximum-rank array codes and their application to crisscross error correction

Error and erasure decoding of rank-codes with a modified Berlekamp-Massey algorithm

G Richter, S Plass - ITG FACHBERICHT, 2004 - books.google.com
… For maximum rank distance codes (Rank-Codes), there … We refer to such errors as crisscross
errors. Figure 1 shows a … Georg Schmidt for some helpful comments on this paper and …

Error-correcting regenerating and locally repairable codes via rank-metric codes

N Silberstein, AS Rawat… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
coding scheme brings together a maximum rank distance … Finally, we briefly comment
on error resilience in LRCs with … coding scheme, also based on a Gabidulin and MDS array

Rank minimization over finite fields: Fundamental limits and coding-theoretic interpretations

VYF Tan, L Balzano, SC Draper - IEEE transactions on …, 2011 - ieeexplore.ieee.org
… We provide a brief review of these two areas of study. … that arise in applications are often
corrupted by crisscross error … -known construction of maximum rank distance (MRD) codes by …

Criss-cross insertion and deletion correcting codes

R Bitar, L Welter, I Smagloy… - IEEE Transactions …, 2021 - ieeexplore.ieee.org
problem of constructing codes correcting deletions in arrays. Under this model, it is assumed
that an n × n array … These deletion errors are referred to as (tr, tc)-criss-cross deletions if tr …

Convolutional codes in rank metric with application to random network coding

A Wachter-Zeh, M Stinner… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
maximum rank distance codes are presented. Second, an efficient … how to apply these codes
for error correction in random … lifted PUM codes can be applied for error-correction in RLNC …