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Page 8050 of Mathematical Reviews Vol. , Issue 2003j [page]

2003 Mathematical Reviews  
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  
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

Dieter Jungnickel, Vladimir D Tonchev
1992 Journal of combinatorial theory. Series A  
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

L. Chikamai, Jamshid Moori, B. G. Rodrigues
2012 Glasnik Matematicki - Serija III  
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  
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

Dean Crnković, Marija Maksimović, Bernardo Gabriel Rodrigues, Sanja Rukavina
2016 Advances in Mathematics of Communications  
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  
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

David A. Gates, David Anderson, S. Anderson, M. Zarnstorff, Donald A. Spong, Harold Weitzner, G. H. Neilson, D. Ruzic, D. Andruczyk, J. H. Harris, H. Mynick, C. C. Hegna (+37 others)
2018 Journal of fusion energy  
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

Charles W Carter, Peter R Wills
2017 Molecular biology and evolution  
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]

Charles W. Carter, Peter R. Wills
2017 bioRxiv   pre-print
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]

Matthew Fickus, John Jasper, Dustin G. Mixon, Jesse D. Peterson
2017 arXiv   pre-print
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

Matthew Fickus, John Jasper, Dustin G. Mixon, Jesse D. Peterson
2019 Applied and Computational Harmonic Analysis  
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

Manfred Eigen, Peter Schuster
1977 Die Naturwissenschaften  
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

Elizabeth Hampson, Jamie Cameron, Sharad Amin, Joungman Kyo, Julie Watts, Hiroki Oshio, Graham N. Newton
2019 Angewandte Chemie International Edition  
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

Jeffrey M. Dambacher, Philippe A. Rossignol
2001 ACM SIGSAM Bulletin  
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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