Information on Result #1738260
Digital (17, 25, 9848)-net over F27, using net defined by OOA based on linear OOA(2725, 9848, F27, 10, 8) (dual of [(9848, 10), 98455, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2725, 19697, F27, 2, 8) (dual of [(19697, 2), 39369, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2725, 19698, F27, 2, 8) (dual of [(19698, 2), 39371, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2725, 19698, F27, 8) (dual of [19698, 19673, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(2722, 19683, F27, 8) (dual of [19683, 19661, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2710, 19683, F27, 4) (dual of [19683, 19673, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(7) ⊂ Ce(3) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2725, 19698, F27, 8) (dual of [19698, 19673, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(2725, 19698, F27, 2, 8) (dual of [(19698, 2), 39371, 9]-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.