NMDS codes of maximal length over F/sub q/,8≤q≤11

2002 ◽  
Vol 48 (4) ◽  
pp. 963-966 ◽  
Author(s):  
S. Marcugini ◽  
A. Milani ◽  
F. Pambianco
Keyword(s):  
Maximal Length ◽  
Nmds Codes

scholarly journals Pseudo-random sequences with non-maximal length realized according to the Galois scheme based on the primitive polynomial in degree

2020 ◽  
Vol 1658 ◽  
pp. 012036
Author(s):  
V A Pesoshin ◽  
V M Kuznetsov ◽  
A S Kuznetsova
Keyword(s):  
Maximal Length ◽  
Random Sequences ◽  
Primitive Polynomial

Load Distribution of Parallel Springs With Random Length and Stiffness

1987 ◽  
Vol 109 (4) ◽  
pp. 402-406 ◽  
Author(s):  
Go¨ran Gerbert ◽  
Jacques de Mare´
Keyword(s):  
Uniform Distribution ◽  
Load Distribution ◽  
Simple Formula ◽  
Mechanical Design ◽  
Numerical Results ◽  
Maximal Length ◽  
Major Influence ◽  
Length Variation ◽  
Spring Stiffness ◽  
Failure Risk

There are many applications in mechanical design where load distribution is modelled with parallel springs. Here random variation in spring length and spring stiffness is considered. Length variation is assumed to be the major influence and the case with uniform distribution is analyzed in detail. Small variations in spring stiffness are included. Numerical results are given. A simple formula is presented which gives the maximal length deviation as a function of the number of springs. The formula is based on a 10 percent failure risk which is a common number in practical mechanical design.

Binary index codes using l-th NMDS codes

2017 ◽  
Author(s):  
Anoop Thomas ◽  
B. Sundar Rajan
Keyword(s):  
Nmds Codes

scholarly journals Mori Contractions of Maximal Length

2013 ◽  
Vol 49 (1) ◽  
pp. 215-228 ◽  
Author(s):  
Andreas Höring ◽  
Carla Novelli
Keyword(s):  
Maximal Length

scholarly journals On the distinctness of modular reductions of maximal length sequences modulo odd prime powers

2008 ◽  
Vol 77 (263) ◽  
pp. 1623-1637 ◽  
Author(s):  
Xuan-Yong Zhu ◽  
Wen-Feng Qi
Keyword(s):  
Maximal Length ◽  
Modular Reductions

scholarly journals On the Structure of Graded Leibniz Algebras

2015 ◽  
Vol 22 (01) ◽  
pp. 83-96 ◽  
Author(s):  
Antonio J. Calderón Martín ◽  
José M. Sánchez Delgado
Keyword(s):  
Arbitrary Dimension ◽  
Unit Element ◽  
Homogeneous Component ◽  
Maximal Length ◽  
Base Field ◽  
Leibniz Algebras ◽  
Arbitrary Base

We study the structure of graded Leibniz algebras with arbitrary dimension and over an arbitrary base field 𝕂. We show that any of such algebras 𝔏 with a symmetric G-support is of the form [Formula: see text] with U a subspace of 𝔏1, the homogeneous component associated to the unit element 1 in G, and any Ij a well described graded ideal of 𝔏, satisfying [Ij, Ik]=0 if j ≠ k. In the case of 𝔏 being of maximal length, we characterize the gr-simplicity of the algebra in terms of connections in the support of the grading.

Posterior Cervical Keyhole Laminoforaminotomy: A Cadaveric Comparative Study to Evaluate Limits of Bony Resection

2018 ◽  
Vol 16 (5) ◽  
pp. 607-613 ◽  
Author(s):  
Ahmed B Bayoumi ◽  
Selim Berk ◽  
Ibrahim E Efe ◽  
Elif Gulsah Bas ◽  
Melissa Duran ◽  
...  
Keyword(s):  
Comparative Study ◽  
Surface Area ◽  
Nerve Root ◽  
Root Length ◽  
Maximal Length ◽  
Nerve Roots ◽  
Surface Areas ◽  
Lateral Portion ◽  
The Right ◽  
Cervical Roots

Abstract BACKGROUND The posterior cervical keyhole (KH) laminoforaminotomy has been described to involve the lateral portion of cervical laminae of the upper vertebra alone (small KH) or of both upper and lower vertebrae (large KH). OBJECTIVE To microscopically compare the two keyhole techniques in terms of their ability to expose the corresponding cervical roots. METHODS Ten cadaveric specimens were operated bilaterally from C3-4 to C6-7 level to expose a total of 80 nerve roots. The large KH was applied to the left side, the small KH to the right side. The maximal length of exposed nerve roots was measured under microscope. The virtual optimal KH surface area was determined using digital software. Each root was inspected for exposure of its root and axilla. RESULTS The maximal exposed nerve root length on the large KH side was significantly larger than on the small KH side at C3-4, C5-6, and C6-7 levels (P = .031, P = .002, P = .003). No significance was reported for C4-5 (P = .06). We could expose right axillae in (3/40) and left axillae in (33/40; P < .001). Optimal keyhole surface areas were 37.9, 38.2, 38.7, and 46.2 mm2 in craniocaudal order. CONCLUSION Large KH defects involving both upper and lower laminae and facets can expose the roots to greater extent than small KH defects at C3-4, C5-6, and C6-7 levels. Large KH defects may allow better exposure of nerve roots axillae than small KH defects.

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