Information on Result #1841267
(76, 106, 17476)-net in base 32, using net defined by OOA based on OOA(32106, 17476, S32, 30, 30), using
- OA 15-folding and stacking [i] based on OA(32106, 262140, S32, 30), using
- discarding factors based on OA(32106, 262147, S32, 30), using
- discarding parts of the base [i] based on linear OA(6488, 262147, F64, 30) (dual of [262147, 262059, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(6488, 262144, F64, 30) (dual of [262144, 262056, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6485, 262144, F64, 29) (dual of [262144, 262059, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- discarding parts of the base [i] based on linear OA(6488, 262147, F64, 30) (dual of [262147, 262059, 31]-code), using
- discarding factors based on OA(32106, 262147, S32, 30), 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 | (77, 107, 17476)-net in base 32 | [i] | Net Duplication | |