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cs.CC2026
NP-Hardness of Bounded Distance Decoding for Reed-Solomon Codes
Daqing Wan, Jun Zhang
For an Reed--Solomon code, the covering radius is . Gandikota, Ghazi, and Grigorescu proved deterministic NP-hardness of bounded-distance decoding when the decoding ra…
cs.CC2026
Euclidean SVP is NP-hard for Cyclic Lattices
Daqing Wan
We prove that exact Euclidean SVP is NP-hard under deterministic polynomial-time many-one reductions for full-rank cyclic integer lattices, equivalently full-rank ideals of $R_N:=\…
cs.CC2026
Euclidean SVP is deterministically NP-hard to approximate within any constant factor
Daqing Wan
We prove that, for every constant , the Euclidean shortest vector problem is NP-hard to approximate within any constant factor under a deterministic polynomial-time many-o…