Information on Result #1716630
Digital (165, 199, 1663)-net over F3, using net defined by OOA based on linear OOA(3199, 1663, F3, 45, 34) (dual of [(1663, 45), 74636, 35]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3199, 6653, F3, 5, 34) (dual of [(6653, 5), 33066, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3199, 6654, F3, 5, 34) (dual of [(6654, 5), 33071, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3199, 6654, F3, 2, 34) (dual of [(6654, 2), 13109, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3199, 9841, F3, 2, 34) (dual of [(9841, 2), 19483, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3199, 19682, F3, 34) (dual of [19682, 19483, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- discarding factors / shortening the dual code based on linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using
- OOA 2-folding [i] based on linear OA(3199, 19682, F3, 34) (dual of [19682, 19483, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(3199, 9841, F3, 2, 34) (dual of [(9841, 2), 19483, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3199, 6654, F3, 2, 34) (dual of [(6654, 2), 13109, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3199, 6654, F3, 5, 34) (dual of [(6654, 5), 33071, 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.