Information on Result #1186630
Digital (85, 102, 8195)-net over F4, using net defined by OOA based on linear OOA(4102, 8195, F4, 17, 17) (dual of [(8195, 17), 139213, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4102, 65561, F4, 17) (dual of [65561, 65459, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4102, 65565, F4, 17) (dual of [65565, 65463, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(497, 65536, F4, 17) (dual of [65536, 65439, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(4102, 65565, F4, 17) (dual of [65565, 65463, 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 (86, 102, 8195)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (86, 103, 8195)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (87, 104, 8195)-net over F4 | [i] | ||