Information on Result #1739090
Digital (41, 61, 3428)-net over F27, using net defined by OOA based on linear OOA(2761, 3428, F27, 22, 20) (dual of [(3428, 22), 75355, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2761, 17141, F27, 2, 20) (dual of [(17141, 2), 34221, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2761, 17145, F27, 2, 20) (dual of [(17145, 2), 34229, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2761, 17145, F27, 20) (dual of [17145, 17084, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, 19698, F27, 20) (dual of [19698, 19637, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(273, 15, F27, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,27) or 15-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- construction X applied to Ce(19) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(2761, 19698, F27, 20) (dual of [19698, 19637, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2761, 17145, F27, 20) (dual of [17145, 17084, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(2761, 17145, F27, 2, 20) (dual of [(17145, 2), 34229, 21]-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.