Information on Result #1208800
Digital (152, 179, 1525)-net over F3, using (u, u+v)-construction based on
- digital (4, 17, 12)-net over F3, using
- net from sequence [i] based on digital (4, 11)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- net from sequence [i] based on digital (4, 11)-sequence over F3, using
- digital (135, 162, 1513)-net over F3, using
- net defined by OOA [i] based on linear OOA(3162, 1513, F3, 27, 27) (dual of [(1513, 27), 40689, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(3162, 19670, F3, 27) (dual of [19670, 19508, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3162, 19682, F3, 27) (dual of [19682, 19520, 28]-code), using
- 1 times truncation [i] based on linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 1 times truncation [i] based on linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3162, 19682, F3, 27) (dual of [19682, 19520, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(3162, 19670, F3, 27) (dual of [19670, 19508, 28]-code), using
- net defined by OOA [i] based on linear OOA(3162, 1513, F3, 27, 27) (dual of [(1513, 27), 40689, 28]-NRT-code), using
Mode: Constructive and 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.