Results 41 to 50 of about 377,588 (277)
This paper investigates the concept of self-dual convolutional codes. We derive the basic properties of this interesting class of codes and we show how some of the techniques to construct self-dual linear block codes generalize to self-dual convolutional codes.
Heri, Sebastian +2 more
openaire +3 more sources
ABSTRACT Background Pediatric sarcomas are a heterogeneous group of tumors that contribute disproportionately to cancer mortality in children. Although congenital anomalies are among the strongest known risk factors for childhood cancer, the risk of specific sarcoma subtypes among affected individuals has not yet been thoroughly evaluated. Procedure We
Russ Wolters +17 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
New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2
In this work, quadratic reside codes over the ring F2 +uF2 +u^2F2 with u^3 = u are considered. A duality and distance preserving Gray map from F2 + uF2 + u^2F2 to (F_2)^3 is defined.
Kaya, Abidin +2 more
core +1 more source
Structural biology of ferritin nanocages
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley +1 more source
Combinational Circuits Testing Based on Hsiao Codes with Self-Dual Check Functions
This paper investigates the features of using modified Hamming codes, which are also known as Hsiao codes. Self-checking digital devices are proposed to be implemented with calculations testing using two diagnostic signs.
Dmitry V. Efanov +6 more
doaj +1 more source
On the Hamming Distances of Constacyclic Codes of Length 5
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 +2 more
doaj +1 more source
Every Binary Self-Dual Code Arises From Hilbert Symbols
In this paper we construct binary self-dual codes using the \'etale cohomology of $\mathbb{Z}/2$ on the spectra of rings of $S$-integers of global fields.
Chinburg, Ted, Zhang, Ying
core +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
PERSYMMETRIC MATRIX AND ITS APPLICATION IN CODING THEORY
A persymmetric matrix is a square matrix that is symmetric concerning its antidiagonal. This article discusses some characteristics of a persymmetric matrix and its application in coding theory. A persymmetric matrix is used to form a generator matrix of
Ardi Nur Hidayat +2 more
doaj +1 more source

