Results 1 to 10 of about 24,667 (106)

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

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   +2 more sources

Constructions of MDS symbol-pair codes with minimum distance seven or eight

Designs, Codes, and Cryptography, 2022
Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance plays a vital role in determining the error-correcting capability and the constructions of symbol-pair codes with largest possible minimum symbol-pair distance is of great importance.
Jinquan Luo
exaly   +5 more sources

Maximum Distance Separable Codes for Symbol-Pair Read Channels [PDF]

IEEE Transactions on Information Theory, 2013
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.
Han Mao Kiah, Yeow Meng Chee, Jianxing Yin   +2 more
exaly   +3 more sources

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   +3 more sources

Constructions of maximum distance separable symbol-pair codes using cyclic and constacyclic codes [PDF]

Designs, Codes, and Cryptography, 2016
Symbol-pair code is a new coding framework which is proposed to correct errors in the symbol-pair read channel. In particular, maximum distance separable (MDS) symbol-pair codes are a kind of symbol-pair codes with the best possible error-correction capability.
Gennian Ge, Shuxing Li
exaly   +4 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
doaj   +1 more source

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

Market Integration of Wholesale Chilli Prices of Pakistan

Journal of Applied Research in Plant Sciences, 2023
Vegetables hold very important and significant place in our diet, among vegetables chilli (Capsicum annuum L.)  is one of the most important vegetable crop of Pakistan.
Mehar Ul Nissa Rais, Tehmina Mangan, Jam Ghulam Murtaza Sahito, Hakimzadi Wagan, Naeem Ahmed Qureshi, Ghulam Mujtaba Khushk, Arshad Ali Narejo, Zuheb Hussain Mirjat   +7 more
doaj   +1 more source

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
doaj   +1 more source