Information on Result #1823988
(138, 172, 3856)-net in base 8, using base change based on digital (95, 129, 3856)-net over F16, using
- net defined by OOA [i] based on linear OOA(16129, 3856, F16, 34, 34) (dual of [(3856, 34), 130975, 35]-NRT-code), using
- OA 17-folding and stacking [i] based on linear OA(16129, 65552, F16, 34) (dual of [65552, 65423, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(16129, 65553, F16, 34) (dual of [65553, 65424, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(16125, 65536, F16, 34) (dual of [65536, 65411, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(16109, 65536, F16, 29) (dual of [65536, 65427, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(16129, 65553, F16, 34) (dual of [65553, 65424, 35]-code), using
- OA 17-folding and stacking [i] based on linear OA(16129, 65552, F16, 34) (dual of [65552, 65423, 35]-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 | (139, 173, 3856)-net in base 8 | [i] | Net Duplication | |