Lossless dimension expanders via linearized polynomials and subspace designs

• المؤلفون الرئيسيون: Guruswami, Venkatesan, Resch, Nicolas, Xing, Chaoping
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2018
• الموضوعات: Coding Theory; Algebraic Constructions; DRNTU::Science::Mathematics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/89333; http://hdl.handle.net/10220/46214
• المؤسسة: Nanyang Technological University

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)...