Information on Result #1823808
(96, 120, 5462)-net in base 8, using base change based on digital (66, 90, 5462)-net over F16, using
- net defined by OOA [i] based on linear OOA(1690, 5462, F16, 24, 24) (dual of [(5462, 24), 130998, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(1690, 65544, F16, 24) (dual of [65544, 65454, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(1690, 65545, F16, 24) (dual of [65545, 65455, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(1689, 65536, F16, 24) (dual of [65536, 65447, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1681, 65536, F16, 22) (dual of [65536, 65455, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(161, 9, F16, 1) (dual of [9, 8, 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(23) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(1690, 65545, F16, 24) (dual of [65545, 65455, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(1690, 65544, F16, 24) (dual of [65544, 65454, 25]-code), 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 | (97, 121, 5462)-net in base 8 | [i] | Net Duplication | |
| 2 | (98, 122, 5462)-net in base 8 | [i] | ||
| 3 | (99, 123, 5462)-net in base 8 | [i] | ||