Information on Result #1823959
(129, 160, 4370)-net in base 8, using base change based on digital (89, 120, 4370)-net over F16, using
- net defined by OOA [i] based on linear OOA(16120, 4370, F16, 31, 31) (dual of [(4370, 31), 135350, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(16120, 65551, F16, 31) (dual of [65551, 65431, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(16120, 65554, F16, 31) (dual of [65554, 65434, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(16117, 65536, F16, 31) (dual of [65536, 65419, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(16120, 65554, F16, 31) (dual of [65554, 65434, 32]-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(16120, 65551, F16, 31) (dual of [65551, 65431, 32]-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 | (130, 161, 4370)-net in base 8 | [i] | Net Duplication | |
| 2 | (131, 162, 4370)-net in base 8 | [i] | ||