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Page 8050 of Mathematical Reviews Vol. , Issue 2003j
[page]
2003
Mathematical Reviews
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We show that the existence of certain quasi-symmetric designs implies the existence of such optimal self-complementary balanced codes.” ...
(PRC-CHHK-IN; Shatin
Self-complementary balanced codes and quasi-symmetric designs. (English summary)
Des. Codes Cryptogr. 27 (2002), no. 3, 271-279. ...
Page 7265 of Mathematical Reviews Vol. , Issue 99j
[page]
1999
Mathematical Reviews
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New quasi-symmetric SDP designs are constructed from these codes.”
99j:94072 94B20
Roth, Ron M. ...
These cocyclic codes include classes of self-dual codes, quasi-twisted codes, the group ring codes and the group codes for the Gaussian channel. {For the entire collection see MR 99b:94002. } L. R. ...
On symmetric and quasi-symmetric designs with the symmetric difference property and their codes
1992
Journal of combinatorial theory. Series A
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The binary codes of the quasi-symmetric 2-(28, 12, 11) designs provide four inequivalent self-orthogonal doubly-even (28, 7, 12) codes. ...
This design and the 2-(36, 16, 12) design are members of an infinite class of quasi-symmetric designs constructed by P. ...
doi:10.1016/0097-3165(92)90097-e
fatcat:576ioeu4hbd6rok5werdydr3ka
2-modular representations of the alternating group A_8 as binary codes
2012
Glasnik Matematicki - Serija III
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Finally, we establish that there are no self-dual codes of lengths 28 and 56 invariant under A 8 and S 8 respectively, and in particular no self-dual doubly-even code of length 56. 2010 Mathematics Subject ...
Many self-orthogonal codes invariant under A 8 are obtained, and moreover, 22 optimal codes all invariant under A 8 are constructed. ...
A code C is self-orthogonal if C ⊆ C ⊥ and it is self-dual if C = C ⊥ and it is self-complementary if it contains the all-one vector. ...
doi:10.3336/gm.47.2.01
fatcat:dqean4j3sbe73hp4atfluke72i
Page 6552 of Mathematical Reviews Vol. , Issue 89K
[page]
1989
Mathematical Reviews
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This result is used to determine the covering radius of a repeated code, and also a bound on some self-complementary codes. ...
In order to construct two-dimensional burst correcting codes the authors introduce a new class of codes they call “burst identifica- tion codes”. ...
Self-orthogonal codes from the strongly regular graphs on up to 40 vertices
2016
Advances in Mathematics of Communications
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Furthermore, we construct ternary codes of 2-(27, 9, 4) designs obtained as residual designs of the symmetric (40, 13, 4) designs (complementary designs of the symmetric (40, 27, 18) designs), and their ...
We apply this method to construct self-orthogonal codes from orbit matrices of the strongly regular graphs with at most 40 vertices. ...
Sections 5 and 6 deal with the ternary codes of the (40, 27, 18) designs and those of 2- (27, 9, 4) designs obtained as residual designs of the (40, 13, 4) designs (complementary designs of the symmetric ...
doi:10.3934/amc.2016026
fatcat:nrwnu25rdzgnbjv2gf6zj62mqa
Page 3042 of Mathematical Reviews Vol. , Issue 2002E
[page]
2002
Mathematical Reviews
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Connections with various kinds of tableaux, such as domino, rectangular, twist, semi-self- complementary, and quasi-self-complementary are discussed. ...
(English summary)
Designs, codes and finite geometries (Shanghai, 1999). Discrete Math. 238 (2001), no. 1-3, 53-60. ...
Stellarator Research Opportunities: A Report of the National Stellarator Coordinating Committee
2018
Journal of fusion energy
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This document is the product of a stellarator community workshop, organized by the National ...
Quasi-symmetric stellarators are of two types: quasi-helically symmetric (QH) [7, 8] and quasi-axisymmetric (QA) [9, 10] . ...
Coincident with work carried out on existing US facilities and ones abroad, an inclusive program at diverse levels is needed to guide the design of prospective new quasi-symmetric US facilities. ...
doi:10.1007/s10894-018-0152-7
fatcat:nljv27s7qrdrno3zgjzks6khkm
Interdependence, Reflexivity, Fidelity, Impedance Matching, and the Evolution of Genetic Coding
2017
Molecular biology and evolution
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First, the two aaRS classes likely arose from opposite strands of the same ancestral gene, implying a simple genetic alphabet. ...
These characteristics are necessary and sufficient for the essentially de novo emergence of a coupled genereplicase-translatase system of genetic coding that would have continuously preserved the functional ...
The opinions expressed in this publication are those of the author(s) and do not necessarily reflect the views of the John Templeton Foundation. H. ...
doi:10.1093/molbev/msx265
pmid:29077934
pmcid:PMC5850816
fatcat:csz5kloi65ddvgw5dmvm3yhjuq
Interdependence, Reflexivity, Fidelity, Impedance Matching, And The Evolution Of Genetic Coding
[article]
2017
bioRxiv
pre-print
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Inversion symmetries in aaRS structural biology arising from genetic complementarity would have stabilized the initial and subsequent differentiation of coding specificities and hence rapidly promoted ...
First, the two aaRS classes likely arose from opposite strands of the same ancestral gene, implying a simple genetic alphabet. ...
The two classes activate symmetrical sets of 10 amino acids. Both classes have one major (A), and two different minor subclasses (B and C) (Cusack 1994) . ...
doi:10.1101/139139
fatcat:4zjrchsyxzejfkqivoqv7iq7gu
Hadamard Equiangular Tight Frames
[article]
2017
arXiv
pre-print
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Another result establishes an equivalence between real flat ETFs and certain types of quasi-symmetric designs, resulting in a new infinite family of such designs. ...
In particular, real flat ETFs are equivalent to self-complementary binary codes that achieve the Grey-Rankin bound. ...
The views expressed in this article are those of the authors and do not reflect the official policy or position of the United States Air Force, Department of Defense, or the U.S. Government. ...
arXiv:1703.05353v1
fatcat:ge4jxcesajbldcorwsi4ojweny
Hadamard Equiangular Tight Frames
2019
Applied and Computational Harmonic Analysis
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Another result establishes an equivalence between real flat ETFs and certain types of quasi-symmetric designs, resulting in a new infinite family of such designs. ...
In particular, real flat ETFs are equivalent to self-complementary binary codes that achieve the Grey-Rankin bound. ...
The views expressed in this article are those of the authors and do not reflect the official policy or position of the United States Air Force, Department of Defense, or the U.S. Government. ...
doi:10.1016/j.acha.2019.08.003
fatcat:umvzywzxpfaqfgqr5qfng6eule
A principle of natural self-organization
1977
Die Naturwissenschaften
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A stable functional integration then will raise the system to a new level of organization and thereby enlarge its information capacity considerably. ...
a stable RNA quasi-species and having been amplified to a level of higher abundance. 3) The organizational structure and the properties of single functional units of this hypercycle are still reflected ...
and formation of new structures. ...
doi:10.1007/bf00450633
pmid:593400
fatcat:nvbiufpdqvfs7jvub6ivib3mrq
Asymmetric hybrid polyoxometalates: a new platform for multifunctional redox-active nanomaterials
2019
Angewandte Chemie International Edition
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This simple, high-yielding synthetic method is a promising new approach to the preparation of multi-functional hybrid metal oxide clusters, supermolecular systems, and soft-nanomaterials. ...
The cluster bears two organophosphonate moieties with contrasting physical properties: a chelating metal-binding group, and a long aliphatic chain that facilitates solvent-dependent self-assembly into ...
J.M.C.a nd G.N.N. thank the Leverhulme Tr ust (RPG-2016-442) and the University of Nottingham Propulsion Futures Beacon of Excellence.T he authors thank the EPSRC (EP/L022494/1) and the University of Nottingham ...
doi:10.1002/anie.201912046
pmid:31595597
pmcid:PMC6916258
fatcat:fxekbxz6nzgolp7qzuhrinbcka
The golden rule of complementary feedback
2001
ACM SIGSAM Bulletin
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Sequences of complementary feedback cycles follow the Fibonacci sequence, and are also configured as multiples and overlapping harmonics thereof. ...
Patterns of complementary feedback cycles are determined by community structure, which can be portrayed and understood in terms of signed digraph structure. (1.618...). ...
A new method for mechanisms design based on symbolic mathematics and numerical methods is presented in this paper. It allows the optimal design in several types of problems. ...
doi:10.1145/509520.509522
fatcat:yruhmy5wpfejblcqzn6fkbcsty
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