Information on Result #1738998
Digital (40, 59, 3940)-net over F27, using net defined by OOA based on linear OOA(2759, 3940, F27, 22, 19) (dual of [(3940, 22), 86621, 20]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2759, 19701, F27, 2, 19) (dual of [(19701, 2), 39343, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2759, 19702, F27, 2, 19) (dual of [(19702, 2), 39345, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2759, 19702, F27, 19) (dual of [19702, 19643, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(274, 19, F27, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2759, 19702, F27, 19) (dual of [19702, 19643, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(2759, 19702, F27, 2, 19) (dual of [(19702, 2), 39345, 20]-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.