Information on Result #1841039
(55, 73, 233017)-net in base 32, using net defined by OOA based on OOA(3273, 233017, S32, 18, 18), using
- OA 9-folding and stacking [i] based on OA(3273, 2097153, S32, 18), using
- discarding factors based on OA(3273, 2097155, S32, 18), using
- discarding parts of the base [i] based on linear OA(12852, 2097155, F128, 18) (dual of [2097155, 2097103, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12849, 2097152, F128, 17) (dual of [2097152, 2097103, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- discarding parts of the base [i] based on linear OA(12852, 2097155, F128, 18) (dual of [2097155, 2097103, 19]-code), using
- discarding factors based on OA(3273, 2097155, S32, 18), 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 | (56, 74, 233017)-net in base 32 | [i] | Net Duplication | |
| 2 | (57, 75, 233017)-net in base 32 | [i] | ||
| 3 | (64, 82, 233050)-net in base 32 | [i] | (u, u+v)-Construction for Nets | |