Results 21 to 30 of about 258,202 (236)

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

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

Some Constacyclic Codes over Finite Chain Rings [PDF]

, 2012
For $\lambda$ an $n$-th power of a unit in a finite chain ring we prove that $\lambda$-constacyclic repeated-root codes over some finite chain rings are equivalent to cyclic codes. This allows us to simplify the structure of some constacylic codes.
Batoul, Aicha, Guenda, Kenza, Gulliver, T. Aaron   +2 more
core   +1 more source

Quantum Codes Constructed From Repeated-Root Cyclic Codes

Journal of Physics: Conference Series, 2018
In this paper, we use q-cyclotomic cosets modulo n = q − 1 and generator polynomial to describe repeated-root cyclic codes of length N = pαn. We determine the condition under which a repeated-root cyclic code contains its dual code. Then, for q = 2a, we give a class of dual-containing repeated-root cyclic codes.
Ruihu Li, Hao Song, Yuena Ma, Liangdong Lv   +3 more
openaire   +1 more source

Repeated-root Constacyclic Codes with Optimal Locality

, 2021
A code is called a locally repairable code (LRC) if any code symbol is a function of a small fraction of other code symbols. When a locally repairable code is employed in a distributed storage systems, an erased symbol can be recovered by accessing only a small number of other symbols, and hence alleviating the network resources required during the ...
Zhao, Wei, Shum, Kenneth W., Yang, Shenghao   +2 more
openaire   +2 more sources

Repeated-root cyclic codes [PDF]

IEEE Transactions on Information Theory, 1991
In the theory of cyclic codes, it is common practice to require that (n,q)=1, where n is the word length and F/sub q/ is the alphabet. It is shown that the even weight subcodes of the shortened binary Hamming codes form a sequence of repeated-root cyclic codes that are optimal.
openaire   +1 more source

Repeated-root cyclic and negacyclic codes over a finite chain ring [PDF]

, 2005
We show that repeated-root cyclic codes over a finite chain ring are in general not principally generated. Repeated-root negacyclic codes are principally generated if the ring is a Galois ring with characteristic a power of 2.
Berg, R. van den, Berkhemer, O.A., Dippel, D.W.J., Jansen, I.G.H., Lingsma, H.F., Lugt, A. van der, Majoie, C.B.L.M., Marquering, H.A., MR CLEAN Trial Investigators, Oostenbrugge, R.J. van, Roos, Y.B.W.E.M., Slump, C.H., Treurniet, K.M., Vuuren, A.B. van, Walderveen, M.A.A. van, Wijngaard, I.R. van den, Zwam, W.H. van   +16 more
core   +6 more sources

Explicit Representation and Enumeration of Repeated-Root (δ + αu²)-Constacyclic Codes Over F₂^m[u]/‹u^2λ›

IEEE Access, 2020
Let F2(m) be a finite field of 2m elements, λ and k be integers satisfying λ, k ≥ 2 and denote R = F2(m)[u]/(u2λ). Let δ, α ∈ F2(m)×.
Yuan Cao, Yonglin Cao, Hai Q. Dinh, Tushar Bag, Woraphon Yamaka   +4 more
doaj   +1 more source

A species-specific satellite DNA family in the genome of the coffee root-knot nematode Meloidogyne exigua : Application to molecular diagnostics of the parasite [PDF]

, 2002
A new Bg/II satellite DNA has been isolated, cloned and sequenced from the coffee root-knot nematode, Meloidogyne exigua (Nematoda: Tylenchida). It is represented as tandemly repeated sequences with a monomeric unit of 277 bp. The monomers are present at
Bongiovanni, Michel, Carneiro, Regina Maria Dechechi Gomes, Castagnone Sereno, Philippe, Randig, Onivaldo, Sarah, Jean-Louis   +4 more
core   +2 more sources

Subspace subcodes of Reed-Solomon codes [PDF]

, 1998
We introduce a class of nonlinear cyclic error-correcting codes, which we call subspace subcodes of Reed-Solomon (SSRS) codes. An SSRS code is a subset of a parent Reed-Solomon (RS) code consisting of the RS codewords whose components all lie in a fixed ...
Hattori, Masayuki, McEliece, Robert J., Solomon, Gustave   +2 more
core   +1 more source