Results 51 to 60 of about 90,302 (257)
Self-Orthogonal Codes from Plateaued Functions
Self-orthogonal codes are of interest as they have important applications in quantum codes, lattices and many areas. In this paper, based on the weakly regular plateaued functions or plateaued Boolean functions, we construct a family of linear codes with four nonzero weights. This family of linear codes is proved to be not only self-orthogonal but also
Wang, Peng, Heng, Ziling
openaire +2 more sources
Weight enumerators of self-orthogonal codes
AbstractCanonical forms are given for (i) the weight enumerator of an |n, 12(n−1)| self-orthogonal code, and (ii) the split weight enumerator (which classifies the codewords according to the weight of the left-and right-half words) of an |n, 12n| self-dual code.
Mallows, C.L., Sloane, N.J.A.
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A sequence‐encoded supramolecular construct containing two accessible toeholds is developed herein for enabling multiple editing operations. By introducing specific input strands, it is possible to selectively erase or rewrite digital content through parallel or series toehold‐mediated strand displacement (PTMSD or STMSD).
Jakub Ossowski +3 more
wiley +1 more source
The Build-Up Construction for Codes over a Commutative Non-Unitary Ring of Order 9
The build-up method is a powerful class of propagation rules that generate self-dual codes over finite fields and unitary rings. Recently, it was extended to non-unitary rings of order 4, to generate quasi self-dual codes.
Adel Alahmadi +4 more
doaj +1 more source
Photoswitching Conduction in Framework Materials
This mini‐review summarizes recent advances in state‐of‐the‐art proton and electron conduction in framework materials that can be remotely and reversibly switched on and off by light. It discusses the various photoswitching conduction mechanisms and the strategies employed to enhance photoswitched conductivity.
Helmy Pacheco Hernandez +4 more
wiley +1 more source
Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul +8 more
wiley +1 more source
Optimal quaternary Hermitian self-orthogonal $ [n, 5] $ codes of $ n \geq 492 $
Self-orthogonal (SO) codes, including Hermitian self-orthogonal (HSO) codes, form an important class of linear codes, and such codes have close connections to other mathematical structures such as block designs, lattices, and sphere packings, which can ...
Hao Song +3 more
doaj +1 more source
Integrative Approaches for DNA Sequence‐Controlled Functional Materials
DNA is emerging as a programmable building block for functional materials with applications in biomimicry, biochemical, and mechanical information processing. The integration of simulations, experiments, and machine learning is explored as a means to bridge DNA sequences with macroscopic material properties, highlighting current advances and providing ...
Aaron Gadzekpo +4 more
wiley +1 more source
Cyclic Codes over a Non-Local Non-Unital Ring
We study cyclic codes over the ring H of order 4 and characteristic 2 defined by generators and relations as H=⟨a,b∣2a=2b=0,a2=0,b2=b,ab=ba=0⟩. This is the first time that cyclic codes over a non-unitary ring are studied.
Adel Alahmadi +2 more
doaj +1 more source
Synthetic Nanobiology Actuated Lipometabolic Cell Factory for Autologous Tumor Immunotherapy
FA plays a crucial role in the interaction between tumor cells and the tumor microenvironment, especially for the immune response. A biocatalytic immunoenhancement strategy is developed to boost antitumor immunity by FA metabolic orientation to ceramide. Through the design of this delicate catalytic immunoenhancement strategy, the synthetic nanobiology
Shoujie Zhao +8 more
wiley +1 more source

