Information on Result #1745588
Digital (18, 32, 2812)-net over F81, using net defined by OOA based on linear OOA(8132, 2812, F81, 20, 14) (dual of [(2812, 20), 56208, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8132, 5625, F81, 4, 14) (dual of [(5625, 4), 22468, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8132, 5625, F81, 14) (dual of [5625, 5593, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8132, 6578, F81, 14) (dual of [6578, 6546, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(7) [i] based on
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(815, 17, F81, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- construction X applied to Ce(13) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(8132, 6578, F81, 14) (dual of [6578, 6546, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8132, 5625, F81, 14) (dual of [5625, 5593, 15]-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.