Results 61 to 70 of about 35,611 (258)
On the Existence of Optimal Exact-Repair MDS Codes for Distributed Storage [PDF]
The high repair cost of (n,k) Maximum Distance Separable (MDS) erasure codes has recently motivated a new class of codes, called Regenerating Codes, that optimally trade off storage cost for repair bandwidth.
Changho Suh +3 more
core +1 more source
We prove that an additive code over a finite field which has a few projections which are equivalent to a linear code is itself equivalent to a linear code, providing the code is not too short.
Ball, Simeon Michael, Adriaensen, Sam
openaire +1 more source
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
Non-restrictive MDS Array Codes for Correcting Multiple Column Erasures
A new family of MDS array codes of size m × n, that we call Br (m, n, t), for correcting multiple column erasures is proposed. Br(m, n, t) codes achieve the maximum possible correcting capability, i.e., they are MDS codes with dmin = r + 1.
A.M. Al-Shahrani, A.K. Al-Jabri
doaj +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
The polycyclic codes over the finite field $ \mathbb{F}_q $
This article extended the properties of the idempotent generator of cyclic codes to polycyclic codes over the finite field $ \mathbb{F}_q $. In addition, the check matrix of polycyclic codes was provided over $ \mathbb{F}_q $.
Wei Qi
doaj +1 more source
Some Connections Between Classical Coding and Network Coding Over Erroneous Cyclic Networks
Recently, a framework was given for linear error-correcting network codes (LENCs) over cyclic networks on commutative rings. When the alphabet is considered as a rational power series ring, an LENC is referred to as a convolutional error-correcting ...
Vahid Samadi-Khaftari +2 more
doaj +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
MDS Self-Dual Codes and Antiorthogonal Matrices over Galois Rings
In this study, we explore maximum distance separable (MDS) self-dual codes over Galois rings G R ( p m , r ) with p ≡ − 1 ( mod 4 ) and odd r.
Sunghyu Han
doaj +1 more source
New constructions of MDS codes with complementary duals
Linear complementary-dual (LCD for short) codes are linear codes that intersect with their duals trivially. LCD codes have been used in certain communication systems. It is recently found that LCD codes can be applied in cryptography. This application of
Chen, Bocong, Liu, Hongwei
core +1 more source

