Information on Result #1723716
Digital (94, 117, 3914)-net over F5, using net defined by OOA based on linear OOA(5117, 3914, F5, 27, 23) (dual of [(3914, 27), 105561, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5117, 15657, F5, 3, 23) (dual of [(15657, 3), 46854, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5117, 15658, F5, 3, 23) (dual of [(15658, 3), 46857, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5117, 15658, F5, 23) (dual of [15658, 15541, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(5109, 15626, F5, 23) (dual of [15626, 15517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(585, 15626, F5, 17) (dual of [15626, 15541, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(58, 32, F5, 5) (dual of [32, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5117, 15658, F5, 23) (dual of [15658, 15541, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(5117, 15658, F5, 3, 23) (dual of [(15658, 3), 46857, 24]-NRT-code), using
Mode: 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.