2023
DOI: 10.1007/s12095-022-00624-0
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MDS constacyclic codes of length q + 1 over GF(q)

Abstract: An important family of quantum codes is the quantum maximum-distance-separable (MDS) codes. In this paper, we construct some new classes of quantum MDS codes by generalized Reed-Solomon (GRS) codes and Hermitian construction. In addition, the length n of most of the quantum MDS codes we constructed satisfies n ≡ 0, 1(mod q±12 ), which is different from previously known code lengths. At the same time, the quantum MDS codes we construct have large minimum distances that are greater than q/2 + 1.

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Cited by 14 publications
(13 citation statements)
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“…For all of these calculations, a higher cut-off energy of 700 eV was used. VESTA [45] was used to visualize the defect structures in addition to the wave functions, whose plane-wave coefficients we extracted using the Python class PyVaspwfc [46]. Similarly, transition dipole moments were also calculated using PyVaspwfc.…”
Section: Methodsmentioning
confidence: 99%
“…For all of these calculations, a higher cut-off energy of 700 eV was used. VESTA [45] was used to visualize the defect structures in addition to the wave functions, whose plane-wave coefficients we extracted using the Python class PyVaspwfc [46]. Similarly, transition dipole moments were also calculated using PyVaspwfc.…”
Section: Methodsmentioning
confidence: 99%
“…As shown in Figure 5c, the interfacial toughness of ionic hydrogel on porcine skin is as high as ≈600 J m −2 , which demonstrated superior performance compared to that of most reported adhesive hydrogels (Table S6, Supporting Information). [23,48] Due to its strong adhesion strength to metals and wet tissue surface, the PAA-PEO-3mNaCl ionic hydrogels might find a wide range of applications in wearable flexible devices.…”
Section: Adhesion Propertiesmentioning
confidence: 99%
“…36 However, the primary C(sp 3 )-H bonds failed to work, while the tertiary C(sp 3 )-H bonds were limited to adamantanes but with low regioselectivities. To address these challenges, and in continuation of our interest in organic electrosynthesis, [37][38][39][40][41] we rationalized that the use of aliphatic carboxylic acids as the radical precursors would provide an appealing solution, since the decarboxylation process allows the generation of various alkyl radicals with excellent site-selectivities. In this context, Yu and co-workers have reported a AgNO 3 /K 2 S 2 O 8 -mediated decarboxylative radical cyclization cascade for the synthesis of alkylated benzimidazo-fused isoquinolinones.…”
Section: Introductionmentioning
confidence: 99%