Lattice reduction does not change the solution vector for many algorithms in vector perturbation precoding due to a unique lattice structure, and LLL-aided nearest plane methods do not beat conventional THP under mutual information.
Mathematics of Computation44(170), 463–471 (1985),http://www.jstor.org/stable/2007966
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Restricted Syndrome Decoding reduces to Regular Syndrome Decoding and Closest Vector Problem via structured low-norm vectors in constructed codes, broadening attacks on the CROSS signature scheme.
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Is Lattice Reduction Necessary for Vector Perturbation Precoding?
Lattice reduction does not change the solution vector for many algorithms in vector perturbation precoding due to a unique lattice structure, and LLL-aided nearest plane methods do not beat conventional THP under mutual information.
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Cross-Paradigm Models of Restricted Syndrome Decoding with Application to CROSS
Restricted Syndrome Decoding reduces to Regular Syndrome Decoding and Closest Vector Problem via structured low-norm vectors in constructed codes, broadening attacks on the CROSS signature scheme.