Information on Result #1716926
Digital (204, 241, 4534)-net over F3, using net defined by OOA based on linear OOA(3241, 4534, F3, 45, 37) (dual of [(4534, 45), 203789, 38]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3241, 18137, F3, 5, 37) (dual of [(18137, 5), 90444, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 18139, F3, 5, 37) (dual of [(18139, 5), 90454, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3241, 18139, F3, 3, 37) (dual of [(18139, 3), 54176, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 19683, F3, 3, 37) (dual of [(19683, 3), 58808, 38]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- OOA 3-folding [i] based on linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 19683, F3, 3, 37) (dual of [(19683, 3), 58808, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3241, 18139, F3, 3, 37) (dual of [(18139, 3), 54176, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 18139, F3, 5, 37) (dual of [(18139, 5), 90454, 38]-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.