Minimal Linear Networks for Magnetic Resonance Image Reconstruction
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DOI: 10.1038/s41598-019-55763-x
Abstract: Modern sequences for Magnetic Resonance Imaging (MRI) trade off scan time with computational challenges, resulting in ill-posed inverse problems and the requirement to account for more elaborated signal models. Various deep learning techniques have shown… read more here.
Keywords: minimal linear; image; magnetic resonance; image reconstruction ... See more keywords
Exotic vectorlike quark phenomenology in the minimal linear σ model
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DOI: 10.1103/physrevd.101.035015
Abstract: Extensions of the Standard Model that include vectorlike quarks commonly also include additional particles that may mediate new production or decay modes. Using the minimal linear σ model as an example, which reduces to the… read more here.
Keywords: minimal linear; vectorlike quarks; model; phenomenology ... See more keywords
A Construction of Minimal Linear Codes From Partial Difference Sets
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DOI: 10.1109/tit.2021.3067049
Abstract: In this paper, we study a class of linear codes defined by characteristic functions of certain subsets of a finite field. We derive a sufficient and necessary condition for such a code to be a… read more here.
Keywords: minimal linear; difference sets; partial difference; linear codes ... See more keywords
Minimal Binary Linear Codes From Vectorial Boolean Functions
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3231966
Abstract: Recently, much progress has been made to construct minimal linear codes due to their preference in secret sharing schemes and secure two-party computation. In this paper, we put forward a new method to construct minimal… read more here.
Keywords: minimal linear; vectorial boolean; condition; linear codes ... See more keywords
Several Families of Binary Minimal Linear Codes From Two-to-One Functions
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DOI: 10.1109/tit.2023.3236955
Abstract: Minimal linear codes have important applications in secure communications, including in the framework of secret sharing schemes and secure multi-party computation. A lot of research have been carried out to derive codes with few weights… read more here.
Keywords: minimal linear; two one; one functions; linear codes ... See more keywords
A standard form in (some) free fields: How to construct minimal linear representations
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DOI: 10.1515/math-2020-0076
Abstract: Abstract We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn… read more here.
Keywords: minimal linear; representations standard; free fields; linear representations ... See more keywords