Lossless dimension expanders via linearized polynomials and subspace designs

For a vector space F^n over a field F, an (eta,beta)-dimension expander of degree d is a collection of d linear maps Gamma_j : F^n -> F^n such that for every subspace U of F^n of dimension at most eta n, the image of U under all the maps, sum_{j=1}^d Gamma_j(U), has dimension at least beta dim(U)...

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Bibliographic Details
Main Authors: Guruswami, Venkatesan, Resch, Nicolas, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/89333
http://hdl.handle.net/10220/46214
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Institution: Nanyang Technological University
Language: English