Information on Result #3177959
Digital (65, 93, 2343)-net over F32, using 1 times m-reduction based on digital (65, 94, 2343)-net over F32, using
- net defined by OOA [i] based on linear OOA(3294, 2343, F32, 29, 29) (dual of [(2343, 29), 67853, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(3294, 32803, F32, 29) (dual of [32803, 32709, 30]-code), using
- construction XX applied to C([0,14]) ⊂ C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(3285, 32769, F32, 29) (dual of [32769, 32684, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(3261, 32769, F32, 21) (dual of [32769, 32708, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3255, 32769, F32, 19) (dual of [32769, 32714, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- linear OA(321, 2, F32, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- construction XX applied to C([0,14]) ⊂ C([0,10]) ⊂ C([0,9]) [i] based on
- OOA 14-folding and stacking with additional row [i] based on linear OA(3294, 32803, F32, 29) (dual of [32803, 32709, 30]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.