Information on Result #1222981
Digital (76, 103, 1634)-net over F27, using (u, u+v)-construction based on
- digital (12, 25, 121)-net over F27, using
- net defined by OOA [i] based on linear OOA(2725, 121, F27, 13, 13) (dual of [(121, 13), 1548, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2725, 727, F27, 13) (dual of [727, 702, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2725, 728, F27, 13) (dual of [728, 703, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(2725, 728, F27, 13) (dual of [728, 703, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2725, 727, F27, 13) (dual of [727, 702, 14]-code), using
- net defined by OOA [i] based on linear OOA(2725, 121, F27, 13, 13) (dual of [(121, 13), 1548, 14]-NRT-code), using
- digital (51, 78, 1513)-net over F27, using
- net defined by OOA [i] based on linear OOA(2778, 1513, F27, 27, 27) (dual of [(1513, 27), 40773, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2778, 19670, F27, 27) (dual of [19670, 19592, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-code), using
- 1 times truncation [i] based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 1 times truncation [i] based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2778, 19670, F27, 27) (dual of [19670, 19592, 28]-code), using
- net defined by OOA [i] based on linear OOA(2778, 1513, F27, 27, 27) (dual of [(1513, 27), 40773, 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.