Information on Result #1203532
Digital (14, 28, 2341)-net over F128, using net defined by OOA based on linear OOA(12828, 2341, F128, 14, 14) (dual of [(2341, 14), 32746, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(12828, 16387, F128, 14) (dual of [16387, 16359, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12828, 16389, F128, 14) (dual of [16389, 16361, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(12828, 16389, F128, 14) (dual of [16389, 16361, 15]-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 (22, 36, 2491)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (35, 49, 2341)-net in base 16 | [i] | Base Change | |