Information on Result #1841249
(77, 105, 18726)-net in base 32, using net defined by OOA based on OOA(32105, 18726, S32, 28, 28), using
- OA 14-folding and stacking [i] based on OA(32105, 262164, S32, 28), using
- discarding factors based on OA(32105, 262167, S32, 28), using
- discarding parts of the base [i] based on linear OA(6487, 262167, F64, 28) (dual of [262167, 262080, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(6482, 262144, F64, 28) (dual of [262144, 262062, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(645, 23, F64, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- discarding parts of the base [i] based on linear OA(6487, 262167, F64, 28) (dual of [262167, 262080, 29]-code), using
- discarding factors based on OA(32105, 262167, S32, 28), 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 | (78, 106, 18726)-net in base 32 | [i] | Net Duplication | |