Results 11 to 20 of about 415,790 (230)
Maximum distance separable symbol-pair codes
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]
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]
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
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]
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
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]
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]
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 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
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

