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Statistics of the Compression Ratio of a Variable-to-Variable Code: Exact Moments and Asymptotic Behavior [PDF]

Entropy
A variable-to-variable (V2V) length code parses a source sequence into phrases of variable length and maps each phrase to a binary codeword of, generally, a different random length.
Neri Merhav
doaj   +2 more sources

MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes

IEEE Access, 2021
Symbol-pair codes are used to protect against symbol-pair errors in high density data storage systems. One of the most important tasks in symbol-pair coding theory is to design MDS codes.
Hai Q. Dinh, Bac T. Nguyen, Abhay Kumar Singh, Woraphon Yamaka   +3 more
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On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3p^s over ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$

Axioms, 2023
Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm.
Hai Q. Dinh, Hiep L. Thi, Roengchai Tansuchat   +2 more
doaj   +1 more source

Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over \({{\mathbb{F}_{p^m}[u]}/{\langle u^3\rangle}}\)

Mathematics, 2021
Let p be a prime, s, m be positive integers, γ be a nonzero element of the finite field Fpm, and let R=Fpm[u]/⟨u3⟩ be the finite commutative chain ring.
Mohammed E. Charkani, Hai Q. Dinh, Jamal Laaouine, Woraphon Yamaka   +3 more
doaj   +1 more source

On Linear Perfect b-Symbol Codes over Finite Fields

Mathematics, 2023
Motivated by the application of high-density data storage technologies, Cassuto and Blaum introduced codes for symbol-pair read channels in 2011, and Yaakobi et al. generalized the coding framework to that for b-symbol read channels where b≥2 in 2016. In
Kanat Abdukhalikov, Jiajie Chen, Rongquan Feng   +2 more
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Collaborative Music Creation Method Based on Image Collection of Lattice Code

International 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
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b-Symbol Distance of Constacylic Codes of Length p^s Over F_p^m + uF_p^m

IEEE 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, Atul Gaur, A. K. Singh, Manoj Kumar Singh, W. Yamaka   +4 more
doaj   +1 more source

An Effective Maximum Distortion Controlling Technology in the Dual-Image-Based Reversible Data Hiding Scheme

IEEE Access, 2020
The dual-image information hiding method has received considerable research attention on account of its high hiding capacity and favorable stego-image quality.
Tzu-Chuen Lu, Ting-Chi Chang, Jau-Ji Shen   +2 more
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MDS Symbol-Pair Repeated-Root Constacylic Codes of Prime Power Lengths Over $\mathbb F_{p^m}+ u \mathbb F_{p^m}$

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, P. Kumam, P. Kumar, S. Satpati, A. K. Singh, W. Yamaka   +5 more
doaj   +1 more source