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Gray Images of Constacyclic Codes Over Some Polynomial Residue Rings
Let be the quotient ring where is the finite field of size and is a positive integer. A Gray map of length over is a special map from to ( .
Reza Sobhani
doaj
An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities.
Juan Carlos Ku-Cauich +2 more
doaj +1 more source
Duality preserving Gray maps for codes over rings [PDF]
Given a finite ring [Formula: see text] which is a free left module over a subring [Formula: see text] of [Formula: see text], two types of [Formula: see text]-bases, pseudo-self-dual bases (similar to trace orthogonal bases) and symmetric bases, are defined which in turn are used to define duality preserving maps from codes over [Formula: see text ...
Szabo, Steve, Ulmer, Félix
openaire +5 more sources
Constacyclic codes over 𝔽pm[u1, u2,⋯,uk]/〈 ui2 = ui, uiuj = ujui〉
In this paper, we study linear codes over ring Rk = 𝔽pm[u1, u2,⋯,uk]/〈ui2$\begin{array}{} u^{2}_{i} \end{array} $ = ui, uiuj = ujui〉 where k ≥ 1 and 1 ≤ i, j ≤ k.
Zheng Xiying, Kong Bo
doaj +1 more source
Background: There still are limitations associated with quantifying myelin content using brain magnetic resonance imaging (MRI) despite several studies conducted on this subject.
Jeong-Min Shim +4 more
doaj +1 more source
Assisted Common Information: Further Results [PDF]
We presented assisted common information as a generalization of G\'acs-K\"orner (GK) common information at ISIT 2010. The motivation for our formulation was to improve upperbounds on the efficiency of protocols for secure two-party sampling (which is a ...
Prabhakaran, Manoj M. +1 more
core +1 more source
Seafood products are perceived as healthy foods. However, several species of seafood are still not fully utilized for different reasons or can be valued outside the original locale, if issues with the short shelf-life and/or the preparation/presentation ...
Eduardo Esteves +2 more
doaj +1 more source
Early changes in brain structure correlate with language outcomes in children with neonatal encephalopathy. [PDF]
Global patterns of brain injury correlate with motor, cognitive, and language outcomes in survivors of neonatal encephalopathy (NE). However, it is still unclear whether local changes in brain structure predict specific deficits.
Barkovich, A James +9 more
core +2 more sources
Background: Myelin specific imaging techniques to characterize white matter in demyelinating diseases such as multiple sclerosis (MS) have become an area of increasing focus.
Fanny Munsch +6 more
doaj +1 more source
An Adaptive Semi-Parametric and Context-Based Approach to Unsupervised Change Detection in Multitemporal Remote-Sensing Images [PDF]
In this paper, a novel automatic approach to the unsupervised identification of changes in multitemporal remote-sensing images is proposed. This approach, unlike classical ones, is based on the formulation of the unsupervised change-detection problem in ...
Bruzzone, Lorenzo +1 more
core +1 more source

