Information on Result #1746116
Digital (28, 50, 1636)-net over F81, using net defined by OOA based on linear OOA(8150, 1636, F81, 28, 22) (dual of [(1636, 28), 45758, 23]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8150, 4909, F81, 4, 22) (dual of [(4909, 4), 19586, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8150, 4911, F81, 4, 22) (dual of [(4911, 4), 19594, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8150, 4911, F81, 22) (dual of [4911, 4861, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(8150, 6584, F81, 22) (dual of [6584, 6534, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 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(817, 23, F81, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,81)), using
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- Reed–Solomon code RS(74,81) [i]
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- construction X applied to Ce(21) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(8150, 6584, F81, 22) (dual of [6584, 6534, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8150, 4911, F81, 22) (dual of [4911, 4861, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(8150, 4911, F81, 4, 22) (dual of [(4911, 4), 19594, 23]-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.