Results 71 to 80 of about 1,030 (123)

A Note on Factorization and the Number of Irreducible Factors of xⁿ − λ over Finite Fields

Mathematics
Let Fq be a finite field, and let n be a positive integer such that gcd(q,n)=1. The irreducible factors of xn−1 and xn−λ are fundamental concepts with wide applications in cyclic codes and constacyclic codes.
Jinle Liu, Hongfeng Wu
doaj   +1 more source

(1 + u)-Constacyclic codes over Z 4 + uZ 4. [PDF]

Springerplus, 2016
Yu H, Wang Y, Shi M.
europepmc   +1 more source

AMDS constacyclic codes and quantum AMDS codes

Filomat
One significant application of almost maximum distance separable (briefly, AMDS) codes is in secure communication systems, such as secure messaging and encrypted data transmission. By incorporating AMDS codes into the data encoding process, information can be safeguarded from accidental errors that might occur during transmission or storage.
Hai Dinh, Bac Nguyen, Hiep Thi
openaire   +1 more source

Single-photon sampling architecture for solid-state imaging sensors. [PDF]

Proc Natl Acad Sci U S A, 2013
van den Berg E, Candès E, Chinn G, Levin C, Olcott PD, Sing-Long C.   +5 more
europepmc   +1 more source

On Gray Images of Cyclic and Self-Orthogonal Codes over Fq+uFq+vFq. [PDF]

Entropy (Basel)
Saif SH, Alhomaidhi AA.
europepmc   +1 more source

Exploring new lengths for q-ary quantum MDS codes with larger distance. [PDF]

PLoS One
He X, Wang J, Huang C, Chen Y.
europepmc   +1 more source

Optimal Quaternary Hermitian LCD Codes. [PDF]

Entropy (Basel)
Lu L, Li R, Ren Y.
europepmc   +1 more source

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New quantum codes from constacyclic and additive constacyclic codes

Quantum Information Processing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habibul Islam, Om Prakash
openaire   +1 more source

Quantum Codes Obtained from Constacyclic Codes

International Journal of Theoretical Physics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habibul Islam, Om Prakash, Dipak Kumar Bhunia   +2 more
openaire   +2 more sources

New Entanglement-Assisted Quantum Constacyclic Codes

International Journal of Theoretical Physics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Yajing, Kai, Xiaoshan
openaire   +2 more sources