Results 11 to 20 of about 2,363,882 (233)
ON THE CYCLIC SYMBOL-PAIR AND <i>b</i>-SYMBOL DISTANCE OF THE TERNARY [11, 6, 5] GOLAY CODE
Far East Journal of Mathematical Sciences (FJMS)We give a self-contained cyclic-code derivation of the cyclic symbolpair and $b$-symbol distances of the ternary $[11,6,5]_3$ Golay code $\mathcal{G}_{11}$. The pair distance is $\mathrm{d}_{\mathrm{p}}\left(\mathcal{G}_{11}\right)=7$, and the $b$-symbol distance profile is $\mathrm{d}_{\mathrm{b}}\left(\mathcal{G}_{11}\right)=5,7,8,9,10$ for $b=1,2,3 ...
Chatchawan Panraksa
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List decodability of symbol-pair codes [PDF]
, 2018 We investigate the list decodability of symbol-pair codes 1 in this paper. First, we show that the list decodability of every symbol-pair code does not exceed the Gilbert-Varshamov bound. On the other hand, we are able to prove that with high probability,
Xing, C. (Chaoping) +5 more
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Two classes of reducible cyclic codes with large minimum symbol-pair distances [PDF]
, 2023 The high-density data storage technology aims to design high-capacity storage at a relatively low cost. In order to achieve this goal, symbol-pair codes were proposed by Cassuto and Blaum \cite{CB10,CB11} to handle channels that output pairs of ...
Lu, Wei +3 more
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The symbol-pair distance distribution of repeated-root cyclic codes over 𝔽pm.
CoRR, 2016 Symbol-pair codes are proposed to protect against pair errors in symbol-pair read channels. One of the most important task in symbol-pair coding theory is to determine the minimum pair-distance of symbol-pair codes. In this paper, we investigate the symbol-pair distances of cyclic codes of length $p^e$ over $\mathbb{F}_{p^m}$.
Shixin Zhu, Zhonghua Sun 0001, Liqi Wang
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IEEE Access, 2019 MDS codes have the highest possible error-detecting and error-correcting capability among codes of given length and size. Let p be any prime, and s, m be positive integers.
H. Q. Dinh +5 more
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Subblocks Set Design Aided Orthogonal Frequency Division Multiplexing With All Index Modulation
IEEE Access, 2019 In recent years, OFDM with index modulation (OFDM-IM) has become a potential technique due to its improvement of diversity gain. In typical OFDM-IM schemes, incoming information bits are divided into two parts, symbols bits, and index bits.
Yuxin Shi +4 more
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Enhanced Coordinate Interleaved OFDM With Index Modulation
IEEE Access, 2017 Orthogonal frequency-division multiplexing with index modulation (OFDM-IM) has attracted much attention in recent years. In OFDM-IM, the information bits of a block are generally divided into several subblocks, each of which is further split into two ...
Yun Liu +5 more
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Real Time Decoding of Color Symbol for Optical Positioning System
International Journal of Advanced Robotic Systems, 2015 This paper presents the design and real-time decoding of a color symbol that can be used as a reference marker for optical navigation. The designed symbol has a circular shape and is printed on paper using two distinct colors.
Abdul Waheed Malik +4 more
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Function-Correcting Codes for Symbol-Pair Read Channels [PDF]
, 2023 Function-correcting codes are a class of codes designed to protect the function evaluation of a message against errors whose key advantage is the reduced redundancy.
Liu, Hongwei +2 more
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Applied Sciences, 2018 Subcarrier free-space optical (FSO) systems using coherent recovery techniques at the receiver have acquired growing research interest in recent times.
George K. Varotsos +4 more
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