Modified LLL Algorithm with Shifted Start Column for Complexity Reduction

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چکیده

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Modified LLL algorithm with shifted start column

Multiple-input multiple-output (MIMO) systems are playing an important role in the recent wireless communication. The complexity of the different systems models challenge different researches to get a good complexity to performance balance. Lattices Reduction Techniques and Lenstra-Lenstra-Lovàsz (LLL) algorithm bring more resources to investigate and can contribute to the complexity reduction ...

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We devise an algorithm, e L, with the following specifications: It takes as input an arbitrary basis B = (bi)i ∈ Zd×d of a Euclidean lattice L; It computes a basis of L which is reduced for a mild modification of the Lenstra-Lenstra-Lovász reduction; It terminates in time O(dβ + dβ) where β = log max ‖bi‖ (for any ε > 0 and ω is a valid exponent for matrix multiplication). This is the first LLL...

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ژورنال

عنوان ژورنال: International Journal of Wireless & Mobile Networks

سال: 2016

ISSN: 0975-4679,0975-3834

DOI: 10.5121/ijwmn.2016.8306