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Parameterized Intractability of Even Set and Shortest Vector Problem
[article]
2019
arXiv
pre-print
The k-Even Set problem is a parameterized variant of the Minimum Distance Problem of linear codes over F_2, which can be stated as follows: given a generator matrix A and an integer k, determine whether the code generated by A has distance at most k, or in other words, whether there is a nonzero vector x such that Ax has at most k nonzero coordinates. The question of whether k-Even Set is fixed parameter tractable (FPT) parameterized by the distance k has been repeatedly raised in literature;
arXiv:1909.01986v1
fatcat:qiymsq5hkrdffimvj2d4dfl4pi