Results 31 to 40 of about 9,399 (155)
On Symbol-Triple Distance of a Class of Constacyclic Codes of Length 3
IEEE Access, 2023 Let $p\not =3$ be any prime. In this paper, we completely determine symbol-triple distance of all $\gamma $ -constacyclic codes of length $3p^{s}$ over the finite commutative chain ring ${\mathcal{ R}}=\mathbb F_{p^{m}}+u\mathbb F_{p^{m}}$ , where
Hai Q. Dinh +3 more
doaj +1 more source
Some New Classes of Entanglement-Assisted Quantum MDS Codes Derived From Constacyclic Codes
IEEE Access, 2019 Although quantum maximal-distance-separable (MDS) codes that satisfy the quantum singleton bound have become an important research topic in the quantum coding theory, it is not an easy task to search for quantum MDS codes with the minimum distance that ...
Jianzhang Chen +4 more
doaj +1 more source
Complete Characterizations of Optimal Locally Repairable Codes With Locality 1 and
IEEE Access, 2019 A locally repairable code (LRC) is a [n, k, d] linear code with length n, dimension k, minimum distance d and locality r, which means that every code symbol can be repaired by at most r other symbols.
Yichong Xia, Bin Chen
doaj +1 more source
On nearly-MDS expander codes [PDF]
International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings., 2004 A construction of graph codes is presented that approaches the singleton bound as the alphabet size goes to infinity. These codes can be decoded by a combined error-erasure decoder whose time complexity grows linearly with the code length.
Ron M. Roth, Vitaly Skachek
openaire +1 more source
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 +5 more
doaj +1 more source
Applications of Constacyclic Codes to Some New Entanglement-Assisted Quantum MDS Codes
IEEE Access, 2019 Generally, it is not easy to construct quantum maximal-distance-separable (MDS) codes with the minimum distance greater than $\frac {q}{2}+1$ . The minimum distance of quantum MDS codes can achieve $\frac {q}{2}+1$ or exceed $\frac {q}{2}+1$ by ...
Jianzhang Chen +5 more
doaj +1 more source
BMC Medical Ethics, 2021 Background In Pakistan, drug promotion practices, ethical or unethical, have rarely been in the spotlight. We aimed to assess the perception and barriers of medical representatives (MRs) and doctors (MDs) regarding ethical promotion of pharmaceuticals in
Rehan Gul +8 more
doaj +1 more source
IEEE Access, 2021 In this paper, we use the CSS and Steane’s constructions to establish quantum error-correcting codes (briefly, QEC codes) from cyclic codes of length $6p^{s}$ over $\mathbb F_{p^{m}}$ .
Hai Q. Dinh +3 more
doaj +1 more source
Discrete Mathematics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Filomat, 2019 Linear codes with complementary duals (LCD) have a great deal of significance amongst linear codes. Maximum distance separable (MDS) codes are also an important class of linear codes since they achieve the greatest error correcting and detecting capabilities for fixed length and dimension. The construction of linear codes that are both LCD and MDS is a
Sarı, Mustafa, Köroğlu, Mehmet Emin
openaire +5 more sources