Rate-Improved Permutation Codes for Correcting a Single Burst of Deletions

2021 ◽  
Vol 25 (1) ◽  
pp. 49-53
Author(s):  
Hui Han ◽  
Jianjun Mu ◽  
Yu-Cheng He ◽  
Xiaopeng Jiao ◽  
Wenping Ma
Keyword(s):  
Permutation Codes ◽  
Single Burst

Multi-Permutation Codes Correcting a Single Burst Unstable Erasure

2019 ◽  
Vol 23 (4) ◽  
pp. 572-575 ◽  
Author(s):  
Jianjun Mu ◽  
Hui Han ◽  
Yu-Cheng He ◽  
Xuan Zhang ◽  
Junjun Guo
Keyword(s):  
Permutation Codes ◽  
Single Burst

Multi-Permutation Codes Correcting a Single Burst Unstable Deletions in Flash Memory

2020 ◽  
Vol 24 (4) ◽  
pp. 720-724
Author(s):  
Hui Han ◽  
Jianjun Mu ◽  
Yu-Cheng He ◽  
Xiaopeng Jiao ◽  
Wenping Ma
Keyword(s):  
Flash Memory ◽  
Permutation Codes ◽  
Single Burst

Permutation codes correcting a single burst deletion II: Stable deletions

2017 ◽  
Author(s):  
Yeow Meng Chee ◽  
San Ling ◽  
Tuan Thanh Nguyen ◽  
Van Khu Vu ◽  
Hengjia Wei
Keyword(s):  
Permutation Codes ◽  
Single Burst

scholarly journals HI Distribution in Extreme Dwarf Irregulars and Dwarf Spheroidals

1998 ◽  
Vol 11 (1) ◽  
pp. 121-122
Author(s):  
Claude Carignan
Keyword(s):  
Star Formation ◽  
Stellar Population ◽  
Large Fraction ◽  
Dwarf Spheroidal Galaxies ◽  
Irregular Galaxies ◽  
Single Burst ◽  
Dwarf Spheroidals ◽  
Dwarf Irregular Galaxies ◽  
Spheroidal Galaxies

Recent studies (Puche & Westpfahl 1994, Young & Lo 1996) have shown that the distribution of HI in some extreme low luminosity dwarf irregular galaxies (e.g. M81dwA, Holmberg I, Leo A) tends to have a ring-like (or shell-like) distribution which suggests that a single burst of star formation could expell most of the remaining ISM (or at least a large fraction of it) from the system. In view of this, Puche & Westpfahl (1994) suggested that in dwarf spheroidal galaxies, the HI should be found at large radii since no young stellar population is observed in most of them.

scholarly journals A Bound on Permutation Codes

10.37236/2929 ◽  
2013 ◽  
Vol 20 (3) ◽  
Author(s):  
Jürgen Bierbrauer ◽  
Klaus Metsch
Keyword(s):  
Projective Plane ◽  
Symmetric Group ◽  
Minimum Distance ◽  
Main Part ◽  
Latin Squares ◽  
Permutation Codes ◽  
Permutation Code ◽  
Mutually Orthogonal Latin Squares ◽  
Hamming Metric ◽  
Completion Theorem

Consider the symmetric group $S_n$ with the Hamming metric. A  permutation code on $n$ symbols is a subset $C\subseteq S_n.$ If $C$ has minimum distance $\geq n-1,$ then $\vert C\vert\leq n^2-n.$ Equality can be reached if and only if a projective plane of order $n$ exists. Call $C$ embeddable if it is contained in a permutation code of minimum distance $n-1$ and cardinality $n^2-n.$ Let $\delta =\delta (C)=n^2-n-\vert C\vert$ be the deficiency of the permutation code $C\subseteq S_n$ of minimum distance $\geq n-1.$We prove that $C$ is embeddable if either $\delta\leq 2$ or if $(\delta^2-1)(\delta +1)^2<27(n+2)/16.$ The main part of the proof is an adaptation of the method used to obtain the famous Bruck completion theorem for mutually orthogonal latin squares.

Behavioral and Electromyographic Characterization of Mice Lacking EphA4 Receptors

2006 ◽  
Vol 96 (2) ◽  
pp. 642-651 ◽  
Author(s):  
Turgay Akay ◽  
Hernish J. Acharya ◽  
Karim Fouad ◽  
Keir G. Pearson
Keyword(s):  
High Speed ◽  
Phase Relationship ◽  
Knee Extensor ◽  
Null Mouse ◽  
Short Period ◽  
Electrophysiological Studies ◽  
Neuronal Connections ◽  
Single Burst ◽  
Genetically Manipulated ◽  
Leg Movements

EphA4 receptors play an important role in axon guidance during development. Disrupting the expression of these receptors in mice has been shown to modify neuronal connections in the spinal cord and results in the production of a characteristic hopping gait. The EphA4-null mouse has been used in numerous investigations aimed at establishing mechanisms responsible for patterning motor activity during walking. However, there have been no detailed behavioral or electrophysiological studies on adult EphA4-null mice. We used high-speed video recordings to determine the coordination of leg movements during locomotion in adult EphA4-null mice. Our data show that the hopping movements of the hind legs are not always associated with synchronous movements of forelegs. The coupling between the forelegs is weak, resulting in changes in their phase relationship from step to step. The synchronous coordination of the hind legs can switch to an alternating pattern for a short period of time during recovery from isoflurane anesthesia. Comparison of the kinematics of hind leg movements in EphA4-null mice and wild-type animals shows that besides the synchronous coordination in EphA4-null mice, the swing durations and the swing amplitude are shorter. Electromyographic recordings from a knee extensor muscle show double bursting in the EphA4-null animals but single bursts in wild types. This double burst changes to single-burst activity during swimming and when hind legs are stepping in alternation. These observations suggest an influence of sensory feedback in shaping the pattern of muscle activity during locomotion in the mutant animals. Our data give the first detailed description of the locomotor behavior of an adult mouse with genetically manipulated spinal networks.

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