Multilinear Algebra for Distributed Storage
نویسندگان
چکیده
An $(n, k, d, \alpha, \beta, M)$-ERRC (exact-repair regenerating code) is a collection of $n$ nodes used to store file. For file total size $M$, each node stores $\alpha$ symbols, any $k$ recover the file, and $d$ repair other via sending out $\beta$ symbols. We establish multilinear algebra foundation assemble M)$-ERRCs for all meaningful d)$ tuples. Our ERRCs tie $\alpha/M$-versus-$\beta/M$ trade-off with cascade codes, best known construction this trade-off. give directions on how these multiple failures.
منابع مشابه
Multilinear Algebra
This project consists of a rambling introduction to some basic notions in multilinear algebra. The central purpose will be to show that the div, grad, and curl operators from vector calculus can all be thought of as special cases of a single operator on differential forms. Not all of the material presented here is required to achieve that goal. However, all of these ideas are likely to be usefu...
متن کاملLinear and Multilinear Algebra
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متن کاملMultilinear Algebra And
This article has three chief aims: (1) To show the wide utility of multilinear algebraic formalism for high-performance computing. (2) To describe an application of this formalism in the analysis of chess endgames, and results obtained thereby that would have been impossible to compute using earlier techniques, including a win requiring a record 243 moves. (3) To contribute to the study of the ...
متن کاملLinear and Multilinear Algebra
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Algebra and Geometry
سال: 2021
ISSN: ['2470-6566']
DOI: https://doi.org/10.1137/20m1346742