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Heliang Huang, Wansu Bao and Shukai Liu Parallel Gaussian elimination for XL family over GF(2) Security and Communication Networks 7

Article first published online: 18 MAR 2013 | DOI: 10.1002/sec.744

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In this paper, our goal is to improve the two major weaknesses of XL family algorithms: the storage problem and the huge workload of Gaussian elimination step. We present the XL_SP, a combination of XL and an improved parallel Gaussian elimination (IPGE), to reduce the time and space cost of XL family over GF(2). The XL_SP will make the algebraic attacks be more practical.

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