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(Perfect) Integer Codes Correcting Single Errors
(IEEE, 2018)
This letter presents a class of integer codes capable of correcting single errors. Unlike Hamming codes, the presented codes are constructed with the help of a computer. Among all codes of length up to 4096 bits, a computer ...
Integer codes correcting burst and random asymmetric errors within a byte
(Elsevier, 2018)
In most communication networks, error probabilities 1 → 0 and 0 → 1 are equally likely to occur. However, in some optical networks, such as local and access networks, this is not the case. In these networks, the number of ...
Integer codes correcting single asymmetric errors
(Springer Science and Business Media LLC, 2021)
This paper presents a class of integer codes capable of correcting single asymmetric errors. The presented codes are defined over the ring of integers modulo 2b– 1 and are constructed with the help of a computer. The results ...
Integer Codes Correcting Single Errors within Two Bytes
(World Scientific, 2021)
This paper presents a class of integer codes suitable for use in optical networks with low error rates. The presented codes are constructed with the help of a computer and have two important features: first, they can correct ...
Integer Codes Correcting Burst Asymmetric Errors Within a Byte
(Taylor & Francis Group, 2022)
This paper presents two types of integer codes capable of correcting burst asymmetric errors within a byte. The presented codes are constructed with the help of a computer and are very efficient in terms of redundancy. The ...
Integer codes correcting burst asymmetric within a byte and double asymmetric errors
(Springer, 2020)
This paper presents a class of integer codes capable of correcting l-bit burst asymmetric errors within a b-bit byte (1 ≤ l < b) and double asymmetric errors within a codeword. The presented codes are constructed with the ...
Integer codes correcting sparse byte errors
(Springer, 2019)
In public optical networks, the data are scrambled with a xu + 1 self-synchronous scramblers (SSSs). The reason for this is to avoid long strings of ones or zeros, which might affect the receiver synchronization. Unfortunately, ...
Integer codes capable of correcting burst asymmetric errors
(Springer, 2023)
In this paper, we present a class of integer codes capable of correcting burst asymmetric errors. The presented codes are constructed with the help of a computer and have the potential to be used in various practical ...
Integer Asymmetric Error Control Codes for Short-Range Optical Networks
(New York: Nova Science, 2019)
In most communication networks, error probabilities 1 → 0 and 0 → 1 are equally likely to occur. However, in short-range optical networks (SRONs), such as local and access networks, this is not the case. In these networks, ...