Information on Result #1195336
Digital (46, 63, 8193)-net over F16, using net defined by OOA based on linear OOA(1663, 8193, F16, 17, 17) (dual of [(8193, 17), 139218, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(1663, 65545, F16, 17) (dual of [65545, 65482, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1663, 65546, F16, 17) (dual of [65546, 65483, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(1661, 65536, F16, 17) (dual of [65536, 65475, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1653, 65536, F16, 14) (dual of [65536, 65483, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(162, 10, F16, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(1663, 65546, F16, 17) (dual of [65546, 65483, 18]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (47, 64, 8193)-net over F16 | [i] | Net Duplication | |
| 2 | (67, 84, 8193)-net in base 8 | [i] | Base Change | |