Self-Dual Codes and the Nonexistence of a Quasi-Symmetric 2-(37,9,8) Design with Intersection Numbers 1 and 3: QUASI-SYMMETRIC 2-(37, 9, 8) DESIGNS
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DOI: 10.1002/jcd.21556
Abstract: We prove that a certain binary linear code associated with the incidence matrix of a quasi-symmetric 2-(37,9,8) design with intersection numbers 1 and 3 must be contained in an extremal doubly even self-dual code of… read more here.
Keywords: quasi symmetric; symmetric design; design intersection; self dual ... See more keywords
Self‐dual association schemes, fusions of Hamming schemes, and partial geometric designs
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DOI: 10.1002/jcd.21889
Abstract: Partial geometric designs can be constructed from basic relations of association schemes. An infinite family of partial geometric designs were constructed from the fusion schemes of certain Hamming schemes in work by Nowak et al.… read more here.
Keywords: dual association; geometric designs; partial geometric; self dual ... See more keywords
Self-dual sectors for scalar field theories in (1 + 1) dimensions
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DOI: 10.1007/jhep01(2019)020
Abstract: A bstractWe use ideas of generalized self-duality conditions to construct real scalar field theories in (1 + 1)-dimensions with exact self dual sectors. The approach is based on a pre-potential U that defines the topological… read more here.
Keywords: field theories; self dual; scalar field; theories dimensions ... See more keywords
A note on the possible existence of an instanton-like self-dual solution to lattice Euclidean gravity
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DOI: 10.1007/jhep02(2017)044
Abstract: A bstractThe self-dual solution to lattice Euclidean gravity is constructed. In contrast to the well known Eguchi-Hanson solution to continuous Euclidean Gravity, the lattice solution is asymptotically globally Euclidean, i.e., the boundary of the space… read more here.
Keywords: euclidean gravity; self dual; solution; dual solution ... See more keywords
Classification and Construction of quaternary self-dual bent functions
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DOI: 10.1007/s12095-017-0216-y
Abstract: Quaternary self-dual bent functions are studied from the viewpoints of existence, construction, and symmetry. A search algorithm is described to classify their orbits under the orthogonal group in low dimensions. A connection with self-dual bent… read more here.
Keywords: quaternary self; construction; bent functions; self dual ... See more keywords
On self-dual and LCD quasi-twisted codes of index two over a special chain ring
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DOI: 10.1007/s12095-018-0322-5
Abstract: Let q be a prime power, and let ????q$\mathbb {F}_{q}$ denote the finite field of order q. Consider the chain ring Rk=????q[u]/〈uk〉$R_{k}=\mathbb {F}_{q}[u]/\langle u^{k}\rangle $ with k ≥ 1 an integer. We study self-dual and LCD… read more here.
Keywords: quasi twisted; dual lcd; self dual; lcd quasi ... See more keywords
Several new classes of self-dual bent functions derived from involutions
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DOI: 10.1007/s12095-019-00371-9
Abstract: Bent functions are a kind of Boolean functions which have the maximum Hamming distance to linear and affine functions, they have some interesting applications in combinatorics, coding theory, cryptography and sequences. However, generally speaking, how… read more here.
Keywords: classes self; several new; bent functions; self dual ... See more keywords
A note on self-dual representations of Sp(4,F)
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DOI: 10.1016/j.jnt.2018.11.001
Abstract: Abstract Let F be a non-Archimedean local field of characteristic 0 and G = Sp ( 4 , F ) . Let ( π , W ) be an irreducible smooth self-dual representation of G.… read more here.
Keywords: self dual; note self; dual representations;
Classification of solutions for self-dual Chern–Simons CP(1) model
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DOI: 10.1063/5.0022001
Abstract: In this paper, we consider the nonlinear equation arising from the Chern–Simons theory of planar matter fields interacting with the Chern–Simons gauge field in a CP(1) invariant fashion. Then, we establish the sharp region of… read more here.
Keywords: dual chern; chern simons; self dual; classification solutions ... See more keywords
Einstein Four-Manifolds With Self-Dual Weyl Curvature of Nonnegative Determinant
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DOI: 10.1093/imrn/rnz238
Abstract: We prove that simply connected Einstein four-manifolds of positive scalar curvature are conformally Kähler if and only if the determinant of the self-dual Weyl curvature is positive. read more here.
Keywords: weyl curvature; einstein four; four manifolds; self dual ... See more keywords
Self-dual ν=1 bosonic quantum Hall state in mixed-dimensional QED
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DOI: 10.1103/physrevb.100.235150
Abstract: We consider a (2+1) dimensional Wilson-Fisher boson coupled to a (3+1) dimensional U(1) gauge field. This theory possesses a strong-weak duality in terms of the coupling constant e, and is self-dual at a particular value… read more here.
Keywords: bosonic quantum; quantum hall; theory; self dual ... See more keywords