Towards the Best Choice of Quasigroups for Error Detection with an Error-Detecting Code

N Ilievska - 2024 47th MIPRO ICT and Electronics Convention …, 2024 - ieeexplore.ieee.org
This paper refers to an error-detecting code that we previously defined and analyzed from
several aspects. The goal of the paper is to answer whether the quasigroups of order 4 for …

Contribution to the Quasigroup Based Error-Detecting Code

N Ilievska - 2023 3rd International Conference on Electrical …, 2023 - ieeexplore.ieee.org
In the last years we have developed few error-detecting codes based on quasigroups. One
of them is the code which is a subject of this paper. The previous analyses of the code …

Simulation of a quasigroup error-detecting linear code

N Ilievska, D Gligoroski - 2015 38th International Convention on …, 2015 - ieeexplore.ieee.org
We analyze an error-detecting code with a fixed length redundancy, based on quasigroups.
We obtain experimental results for the probability of undetected errors when quasigroups of …

On the error-detection properties of the error-detecting code

N Ilievska - 2018 26th Telecommunications Forum (TELFOR), 2018 - ieeexplore.ieee.org
In this paper we consider an error-detecting code. The code is defined using linear
quasigroups. In the focus of the paper is the number of errors that the code surely detects …

Error-detecting code using linear quasigroups

N Ilievska, D Gligoroski - ICT Innovations 2014: World of Data, 2015 - Springer
In this paper we consider an error-detecting code based on linear quasigroups of order 2 q
defined in the following way: The input block a 0 a 1... an− 1 is extended into a block a 0 a …

A Property of a Quasigroup Based Code for Error Detection

N Ilievska - International Conference on ICT Innovations, 2022 - Springer
Due to the importance of the accuracy of the transmitted data, codes for error-control play
important role in the digital communications. While codes for error correction are more …

Number of errors that the error-detecting code surely detects

N Ilievska - ICT Innovations 2017: Data-Driven Innovation. 9th …, 2017 - Springer
In this paper we consider an error-detecting code based on linear quasigroups. We give a
proof that the code is linear. Also, we obtain the generator and the parity-check matrices of …

Proving the probability of undetected errors for an error-detecting code based on quasigroups

N Ilievska - Quasigroups and Related Systems, 2014 - ibn.idsi.md
In one previous paper, we proposed a new model of error-detecting codes base on
quasigroups on the following way. Each input block ai a2... an is extended to a blockl a1a2 …

Simulation of some new models of error-detecting codes

N Ilievska, D Gligoroski - 2014 22nd Telecommunications …, 2014 - ieeexplore.ieee.org
We will define two models of error-detecting codes based on quasigroups of arbitrary order.
For some special cases of these two models we provide experimental results for the …

[PDF][PDF] Towards the number of errors that the code detects for sure

N Ilievska - Journal of Engineering Science and Technology … - jestr.org
In this paper we consider an error-detecting code with a fixed length of redundancy. The
analysed code is defined using the algebraic structure quasigroup. We consider the case …