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- University of OxfordGB5 papers
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7 papers · 1 filter
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours
Joe Gildea, Adrian Korban, Adam Michael Roberts +1
In this work, we define a modification of a bordered construction for self-dual codes which utilises -circulant matrices. We provide the necessary conditions for the constructio…
New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction
Joe Gildea, Adrian Korban, Adam Michael Roberts +1
In this paper, we present a new bordered construction for self-dual codes which employs -circulant matrices. We give the necessary conditions for our construction to produce sel…
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Joe Gildea, Adrian Korban, Adam Michael Roberts
In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative F…
Layer dynamics for the one dimensional -dependent Cahn-Hilliard / Allen-Cahn equation
Dimitra Antonopoulou, Georgia Karali, Konstantinos Tzirakis
We study the dynamics of the one-dimensional -dependent Cahn-Hilliard / Allen-Cahn equation within a neighborhood of an equilibrium of transition layers, that in g…
Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions
Adam Michael Roberts
In this work, we give three new techniques for constructing Hermitian self-dual codes over commutative Frobenius rings with a non-trivial involutory automorphism using -circulan…
Do Transformer Modifications Transfer Across Implementations and Applications?
Sharan Narang, Hyung Won Chung, Yi Tay +13
The research community has proposed copious modifications to the Transformer architecture since it was introduced over three years ago, relatively few of which have seen widespread…