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
Light-cone actions and correlators of self-dual theories in AdS4
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DOI: 10.1007/jhep01(2025)172
Abstract: Self-dual Yang-Mills and Einstein gravity in Euclidean AdS4 are useful toy models because they can be described by simple scalar Lagrangians exhibiting a new manifestation of the colour/kinematics duality, as recently shown by two of… read more here.
Keywords: self dual; light cone; correlators self; cone actions ... 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
Manifest color-kinematics duality for point particles interacting with self-dual fields
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DOI: 10.1007/jhep06(2024)087
Abstract: We find that point particles interacting with a self-dual Yang-Mills field and self-dual gravity manifestly satisfy color-kinematics duality at the level of action. In a similar way color-kinematics duality also holds for a scalar field… read more here.
Keywords: self dual; kinematics; color kinematics; point ... See more keywords
Note on higher-group structure in 6d self-dual gauge theory
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DOI: 10.1007/jhep10(2024)093
Abstract: We analyze higher-group structure of a 6d model coupled with a self-dual 2-form gauge field. This model is defined from 6d axion-electrodynamics with a 1-form Chern-Weil(CW) symmetry gauged dynamically. The gauging leads to a Green-Schwarz-West-Sagnotti(GSWS)… read more here.
Keywords: self dual; group structure; gauge; higher group ... 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;