Information on Result #1746396
Digital (30, 56, 822)-net over F81, using net defined by OOA based on linear OOA(8156, 822, F81, 36, 26) (dual of [(822, 36), 29536, 27]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8156, 3289, F81, 4, 26) (dual of [(3289, 4), 13100, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8156, 3289, F81, 2, 26) (dual of [(3289, 2), 6522, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8156, 6578, F81, 26) (dual of [6578, 6522, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(25) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(8156, 6578, F81, 26) (dual of [6578, 6522, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8156, 3289, F81, 2, 26) (dual of [(3289, 2), 6522, 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.