Results 1 to 10 of about 423,036 (174)

MDS symbol-pair codes from repeated-root cyclic codes [PDF]

Designs, Codes and Cryptography, 2021
arXiv admin note: text overlap with arXiv:2010 ...
Junru Ma, Jinquan Luo
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Developing the Swiss mid-infrared soil spectral library for local estimation and monitoring [PDF]

SOIL, 2021
Information on soils' composition and physical, chemical and biological properties is paramount to elucidate agroecosystem functioning in space and over time.
P. Baumann, P. Baumann, A. Helfenstein, A. Helfenstein, A. Gubler, A. Keller, R. G. Meuli, D. Wächter, J. Lee, R. Viscarra Rossel, J. Six   +10 more
doaj   +1 more source

Logistic model outperforms allometric regression to estimate biomass of xerophytic shrubs

Ecological Indicators, 2021
Allometric model has been applied worldwide to estimate vegetation biomass for decades. However, this model fails to restrict the accelerating increase of biomass as body size grows. That contradicts to the size-related resource limits and intra-specific
Jiemin Ma, Chuan Yuan, Jiayu Zhou, Yan Li, Guangyao Gao, Bojie Fu   +5 more
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Repeated-root constacyclic codes of length 6lp^s

Advances in Mathematics of Communications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Tingting, Liu, Li, Li, Lanqiang, Zhu, Shixin   +3 more
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On the Hamming Distance of Repeated-Root Cyclic Codes of Length 6p^s

IEEE Access, 2020
Let $p$ be an odd prime, $s$ , $m$ be positive integers such that $p^{m}\equiv 2 \pmod 3$ . In this paper, using the relationship about Hamming distances between simple-root cyclic codes and repeated-root cyclic codes, the Hamming distance of all ...
Hai Q. Dinh, Xiaoqiang Wang, Paravee Maneejuk   +2 more
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On the Hamming Distances of Constacyclic Codes of Length 5p^S

IEEE Access, 2020
Let $p$ be a prime, $s$ , $m$ be positive integers, and $\lambda $ be a nonzero element of the finite field $\mathbb {F}_{p^{m}}$ . In this paper, the algebraic structures of constacyclic codes of length $5~p^{s}~(p\neq 5)$ are obtained, which ...
Hai Q. Dinh, Xiaoqiang Wang, Jirakom Sirisrisakulchai   +2 more
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On repeated-root cyclic codes [PDF]

IEEE Transactions on Information Theory, 1991
A parity-check matrix for a q-ary repeated-root cyclic code is derived using the Hasse derivative. Then the minimum distance of a q-ary repeated-root cyclic code is expressed in terms of the minimum distance of a certain simple-root cyclic code. With the help of this result, several binary repeated-root cyclic codes of lengths up to n=62 are shown to ...
G. Castagnoli, J.L. Massey, P.A. Schoeller, N. von Seemann   +3 more
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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
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Some Repeated-Root Constacyclic Codes Over Galois Rings [PDF]

IEEE Transactions on Information Theory, 2017
Codes over Galois rings have been studied extensively during the last three decades. Negacyclic codes over $GR(2^a,m)$ of length $2^s$ have been characterized: the ring $\mathcal{R}_2(a,m,-1)= \frac{GR(2^a,m)[x]}{\langle x^{2^s}+1\rangle}$ is a chain ring.
Hongwei Liu, Youcef Maouche
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Repeated-Root Constacyclic Codes Over the Chain Ring F_p^m[u]/⟨u³⟩

IEEE Access, 2020
Let Z = Fpm[u]/(u3) be the finite commutative chain ring, where p is a prime, m is a positive integer and Fpm is the finite field with pm elements. In this paper, we determine all repeated-root constacyclic codes of arbitrary lengths over Z and their ...
Tania Sidana, Anuradha Sharma
doaj   +1 more source