Information on Result #1840317
(16, 23, 5461)-net in base 16, using net defined by OOA based on OOA(1623, 5461, S16, 7, 7), using
- OOA 3-folding and stacking with additional row [i] based on OA(1623, 16384, S16, 7), using
- discarding factors based on OA(1623, 16386, S16, 7), using
- discarding parts of the base [i] based on linear OA(12813, 16386, F128, 7) (dual of [16386, 16373, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(12813, 16384, F128, 7) (dual of [16384, 16371, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 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(6) ⊂ Ce(5) [i] based on
- discarding parts of the base [i] based on linear OA(12813, 16386, F128, 7) (dual of [16386, 16373, 8]-code), using
- discarding factors based on OA(1623, 16386, S16, 7), 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 | (89, 103, 2402203)-net in base 16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (94, 109, 2402203)-net in base 16 | [i] | ||