Information on Result #1739754
Digital (78, 104, 74854)-net over F27, using net defined by OOA based on linear OOA(27104, 74854, F27, 30, 26) (dual of [(74854, 30), 2245516, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(27104, 523979, F27, 2, 26) (dual of [(523979, 2), 1047854, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27104, 523981, F27, 2, 26) (dual of [(523981, 2), 1047858, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27104, 523981, F27, 26) (dual of [523981, 523877, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(27104, 531460, F27, 26) (dual of [531460, 531356, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(27101, 531441, F27, 26) (dual of [531441, 531340, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(273, 19, F27, 3) (dual of [19, 16, 4]-code or 19-arc in PG(2,27) or 19-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(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(27104, 531460, F27, 26) (dual of [531460, 531356, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27104, 523981, F27, 26) (dual of [523981, 523877, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(27104, 523981, F27, 2, 26) (dual of [(523981, 2), 1047858, 27]-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.