Results 11 to 20 of about 415,790 (230)

Maximum distance separable symbol-pair codes

open access: yes2012 IEEE International Symposium on Information Theory Proceedings, 2012
We study (symbol-pair) codes for symbol-pair read channels introduced recently by Cassuto and Blaum (2010). A Singleton-type bound on symbol-pair codes is established and infinite families of optimal symbol-pair codes are constructed. These codes are maximum distance separable (MDS) in the sense that they meet the Singleton-type bound.
Chee, Yeow Meng   +2 more
openaire   +3 more sources

Function-Correcting Codes for Symbol-Pair Read Channels [PDF]

open access: yesIEEE Transactions on Information Theory, 2023
Function-correcting codes (FCCs) are a class of codes designed to protect the function evaluation of a message against errors whose key advantage is the reduced redundancy. In this paper, we develop the theory of FCCs over symbol-pair read channels.
Qingfeng Xia, Hongwei Liu, Bocong Chen
semanticscholar   +1 more source

AMDS Symbol-Pair Codes from Repeated-Root Cyclic Codes [PDF]

open access: yesarXiv.org, 2022
Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance is of significance in determining the error-correcting capability of a symbol-pair code.
Junru Ma
semanticscholar   +1 more source

b-Symbol Distance of Constacylic Codes of Length ps Over Fpm + uFpm

open access: yesIEEE Access, 2020
In this research paper, the repeated-root constacyclic codes over the chain ring Fpm + uFpm are considered, where p is a prime and m > 0 is any integer. The b-symbol distance for prime power length, i.e.
H. Q. Dinh   +4 more
doaj   +1 more source

MDS and AMDS symbol-pair codes are constructed from repeated-root codes [PDF]

open access: yesarXiv.org, 2022
Symbol-pair codes introduced by Cassuto and Blaum in 2010 are designed to protect against the pair errors in symbol-pair read channels. One of the central themes in symbol-error correction is the construction of maximal distance separable (MDS) symbol ...
Xiuxin Tang, R. Luo
semanticscholar   +1 more source

Collaborative Music Creation Method Based on Image Collection of Lattice Code

open access: yesInternational Transactions on Electrical Energy Systems, 2022
With the development of science and technology, more and more emerging technologies have been integrated into electronic music, forming a rich and diverse form of interactive electronic music.
Yuehua Xiang
doaj   +1 more source

Low-Density Parity-Check Codes From Transversal Designs With Improved Stopping Set Distributions [PDF]

open access: yes, 2013
This paper examines the construction of low-density parity-check (LDPC) codes from transversal designs based on sets of mutually orthogonal Latin squares (MOLS). By transferring the concept of configurations in combinatorial designs to the level of Latin
Er Gruner, Michael Huber, Student Member
core   +1 more source

Pairwise Check Decoding for LDPC Coded Two-Way Relay Block Fading Channels [PDF]

open access: yes, 2012
Partial decoding has the potential to achieve a larger capacity region than full decoding in two-way relay (TWR) channels. Existing partial decoding realizations are however designed for Gaussian channels and with a static physical layer network coding ...
Jianquan Liu   +4 more
core   +1 more source

MDS Symbol-Pair Repeated-Root Constacylic Codes of Prime Power Lengths Over $\mathbb F_{p^m}+ u \mathbb F_{p^m}$

open access: yesIEEE 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
doaj   +1 more source

Subblocks Set Design Aided Orthogonal Frequency Division Multiplexing With All Index Modulation

open access: yesIEEE 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
doaj   +1 more source

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