Results 1 to 10 of about 18,947 (303)
Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array [PDF]
Entropy, 2022 By using difference schemes, orthogonal partitions and a replacement method, some new methods to construct pure quantum error-correcting codes are provided from orthogonal arrays.
Shanqi Pang, Hanxiao Xu, Mengqian Chen
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Parallel error correcting codes [PDF]
IEEE Transactions on Information Theory, 2002 Summary: We introduce the concept of ``parallel error correcting'' codes, the error correcting codes for parallel channels. Here, a parallel channel is a set of channels such that the additive error over a finite field occurs in one of its members at time \(T\) if the same error occurs in all members at the same time. The set of codewords of a parallel
R Ahlswede, Ning Cai
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Universal Framework for Quantum Error-Correcting Codes [PDF]
Entropy, 2021 We present a universal framework for quantum error-correcting codes, i.e., a framework that applies to the most general quantum error-correcting codes. This framework is based on the group algebra, an algebraic notation associated with nice error bases ...
Zhuo Li, Lijuan Xing
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Quantum Error-Correcting Codes Based on Orthogonal Arrays [PDF]
Entropy, 2023 In this paper, by using the Hamming distance, we establish a relation between quantum error-correcting codes ((N,K,d+1))s and orthogonal arrays with orthogonal partitions.
Rong Yan +3 more
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Knot theory and error-correcting codes. [PDF]
Des Codes CryptogrAbstract This paper builds a novel bridge between algebraic coding theory and mathematical knot theory, with applications in both directions. We give methods to construct error-correcting codes starting from the colorings of a knot, describing through a series of results how the properties of the knot translate into code parameters.
Kılıç AB +3 more
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CRC Codes as Error Correction Codes [PDF]
ICC 2021 - IEEE International Conference on Communications, 2021 CRC codes have long since been adopted in a vast range of applications. The established notion that they are suitable primarily for error detection can be set aside through use of the recently proposed Guessing Random Additive Noise Decoding (GRAND). Hard-detection (GRAND-SOS) and soft-detection (ORBGRAND) variants can decode any short, high-rate block
Wei An 0001 +2 more
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Deep Error-Correcting Output Codes
Algorithms, 2023 Ensemble learning, online learning and deep learning are very effective and versatile in a wide spectrum of problem domains, such as feature extraction, multi-class classification and retrieval.
Li-Na Wang +4 more
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Modified Proficient Adjacent Error Correcting Codes
e-Prime: Advances in Electrical Engineering, Electronics and Energy, 2023 As the technology scales down, the soft errors manifested from faults appear in memories due to radiation effects. This paper suggests two decoding mechanisms using hamming bits, extended hamming bits and vertical parity bits applied on matrix codes ...
Neelima K, C. Subhas
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ERROR CORRECTING CODE USING LATIN SQUARE [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 :Digital data stored in computers or transmitted over computer networks are constantly subject to error due to the physical medium in which they are stored or transmitted.
Makarim Abdul-Waheed.Abdul-Jabbar +1 more
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Index coding and error correction [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 A problem of index coding with side information was first considered by Y. Birk and T. Kol (IEEE INFOCOM, 1998). In the present work, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied. Error-correcting methods for such a scheme, and their parameters, are investigated.
Son Hoang Dau +2 more
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