Information on Result #1840157
(27, 32, 2097154)-net in base 8, using net defined by OOA based on OOA(832, 2097154, S8, 5, 5), using
- OOA 2-folding and stacking with additional row [i] based on OA(832, 4194309, S8, 5), using
- discarding factors based on OA(832, 4194310, S8, 5), using
- trace code [i] based on OA(6416, 2097155, S64, 5), using
- discarding parts of the base [i] based on linear OA(12813, 2097155, F128, 5) (dual of [2097155, 2097142, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(12813, 2097152, F128, 5) (dual of [2097152, 2097139, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(12810, 2097152, F128, 4) (dual of [2097152, 2097142, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- discarding parts of the base [i] based on linear OA(12813, 2097155, F128, 5) (dual of [2097155, 2097142, 6]-code), using
- trace code [i] based on OA(6416, 2097155, S64, 5), using
- discarding factors based on OA(832, 4194310, S8, 5), using
Mode: Constructive.
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 | (96, 106, 5452594)-net in base 8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (103, 114, 5452594)-net in base 8 | [i] | ||