Information on Result #1841257
(75, 104, 18725)-net in base 32, using net defined by OOA based on OOA(32104, 18725, S32, 29, 29), using
- OOA 14-folding and stacking with additional row [i] based on OA(32104, 262151, S32, 29), using
- discarding factors based on OA(32104, 262152, S32, 29), using
- discarding parts of the base [i] based on linear OA(6486, 262152, F64, 29) (dual of [262152, 262066, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- linear OA(6485, 262145, F64, 29) (dual of [262145, 262060, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(6479, 262145, F64, 27) (dual of [262145, 262066, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] based on
- discarding parts of the base [i] based on linear OA(6486, 262152, F64, 29) (dual of [262152, 262066, 30]-code), using
- discarding factors based on OA(32104, 262152, S32, 29), 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 | (76, 104, 18725)-net in base 32 | [i] | t-Expansion | |
| 2 | (76, 105, 18725)-net in base 32 | [i] | Net Duplication | |
| 3 | (77, 106, 18725)-net in base 32 | [i] | ||
| 4 | (78, 107, 18725)-net in base 32 | [i] | ||
| 5 | (75, 103, 18725)-net in base 32 | [i] | m-Reduction | |