Information on Result #1717008
Digital (195, 234, 2111)-net over F3, using net defined by OOA based on linear OOA(3234, 2111, F3, 45, 39) (dual of [(2111, 45), 94761, 40]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3234, 8445, F3, 5, 39) (dual of [(8445, 5), 41991, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 8447, F3, 5, 39) (dual of [(8447, 5), 42001, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3234, 8447, F3, 2, 39) (dual of [(8447, 2), 16660, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 9841, F3, 2, 39) (dual of [(9841, 2), 19448, 40]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3234, 19682, F3, 39) (dual of [19682, 19448, 40]-code), using
- 1 times truncation [i] based on linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- 1 times truncation [i] based on linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using
- OOA 2-folding [i] based on linear OA(3234, 19682, F3, 39) (dual of [19682, 19448, 40]-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 9841, F3, 2, 39) (dual of [(9841, 2), 19448, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3234, 8447, F3, 2, 39) (dual of [(8447, 2), 16660, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3234, 8447, F3, 5, 39) (dual of [(8447, 5), 42001, 40]-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.