Integer Codes Correcting Burst Errors within a Byte

Radonjić, Aleksandar; Vujičić, Vladimir

doi:10.1109/tc.2011.243

Cited by 25 publications

(30 citation statements)

References 13 publications

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“…Motivated by this fact, in this paper, we extend our previous work [22, 23], and present a new class of integer codes. The most attractive feature of these codes is the ability to encode/decode using basic operations, such as additions, multiplications and table lookups.…”

Section: Introductionmentioning

confidence: 86%

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Integer codes correcting double asymmetric errors

2016

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Section: Introductionmentioning

confidence: 86%

“…In essence, it is about search‐and‐compare strategy, where the non‐zero syndrome is compared with table entries. This solution, introduced in [23], is similar to routing [24], and thus highly suitable for software implementation.…”

Section: Introductionmentioning

confidence: 99%

Integer codes correcting double asymmetric errors

2016

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“…Motivated by these facts, in this paper, we extend our previous work [9]- [14], and present a class of integer codes suitable for use in OCNs where the data is transmitted serially. Compared to CRCs, our codes have three advantages.…”

Section: Introductionmentioning

confidence: 92%

Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte

Radonjić

2020

IEEE Trans. VLSI Syst.

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This paper presents a class of integer codes that are suitable for use in optical computer networks where the data is transmitted serially. The presented codes are constructed with the help of a computer and have three desirable properties. First, they use integer and lookup table operations, which makes them suitable for software implementation. Second, depending on the application requirements, the proposed codes can be used as lower rate error correction (EC) codes or as high-rate error detection (ED) codes. In the EC mode, which is suited for realtime applications, the receiver can correct all single and double errors as well as all triple-adjacent (TA) errors within one b-bit byte. On the other hand, if the integrity of data is of high importance, the receiver may operate in the ED mode. In that case, it is able to detect all quadruple errors, all double TA errors within one b-bit byte and all double TA errors within two b-bit bytes. Finally, it is important to note that the presented codes can be interleaved without delay and without using any additional hardware. Owing to this, it is possible to construct simple codes capable of detecting/correcting multiple TA and random errors.

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“…data bits. From (12) it is easy to calculate that the theoretical throughput of the decoder varies between 22.48 Gbps and 43.05 Gbps (Table 3). This means that all codes from Table 3 have the potential to be used in 10G networks (e.g.…”

Section: Error Control Procedures and Theoretical Decoding Throughputsmentioning

confidence: 99%

Integer codes correcting sparse byte errors

Radonjić

Vujičić

2019

Cryptogr. Commun.

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This is the peer reviewed version of the following article: Radonjic, A., Vujicic, V., 2019. Integer codes correcting sparse byte errors.Cryptography and Communications. https://doi. Abstract:In public optical networks, the data are scrambled with a x u + 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, the use of SSSs is always related to the problem of duplication of channel errors. More precisely, each error occurring during the transmission will be duplicated u bits later. In this paper, we present a low-cost solution to this problem based on integer codes capable of correcting sparse byte errors.

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Integer Codes Correcting Burst Errors within a Byte

Cited by 25 publications

References 13 publications

Integer codes correcting double asymmetric errors

Integer codes correcting double asymmetric errors

Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte

Integer codes correcting sparse byte errors

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