Information on Result #1716668
Digital (187, 221, 4406)-net over F3, using net defined by OOA based on linear OOA(3221, 4406, F3, 45, 34) (dual of [(4406, 45), 198049, 35]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3221, 17625, F3, 5, 34) (dual of [(17625, 5), 87904, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3221, 17625, F3, 3, 34) (dual of [(17625, 3), 52654, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 19683, F3, 3, 34) (dual of [(19683, 3), 58828, 35]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- OOA 3-folding [i] based on linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 19683, F3, 3, 34) (dual of [(19683, 3), 58828, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3221, 17625, F3, 3, 34) (dual of [(17625, 3), 52654, 35]-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.