Information on Result #1740078
Digital (59, 90, 1384)-net over F27, using net defined by OOA based on linear OOA(2790, 1384, F27, 34, 31) (dual of [(1384, 34), 46966, 32]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(2790, 11073, F27, 2, 31) (dual of [(11073, 2), 22056, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2790, 11076, F27, 2, 31) (dual of [(11076, 2), 22062, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2790, 11076, F27, 31) (dual of [11076, 10986, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2790, 19694, F27, 31) (dual of [19694, 19604, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- 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]
- linear OA(272, 11, F27, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(2790, 19694, F27, 31) (dual of [19694, 19604, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2790, 11076, F27, 31) (dual of [11076, 10986, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(2790, 11076, F27, 2, 31) (dual of [(11076, 2), 22062, 32]-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.