Information on Result #1194854
Digital (15, 23, 1025)-net over F16, using net defined by OOA based on linear OOA(1623, 1025, F16, 8, 8) (dual of [(1025, 8), 8177, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(1623, 4100, F16, 8) (dual of [4100, 4077, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(1623, 4103, F16, 8) (dual of [4103, 4080, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(1622, 4096, F16, 8) (dual of [4096, 4074, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1616, 4096, F16, 6) (dual of [4096, 4080, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(1623, 4103, F16, 8) (dual of [4103, 4080, 9]-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 (99, 115, 2098175)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (104, 121, 2098175)-net over F16 | [i] | ||