Information on Result #1841227
(81, 107, 161319)-net in base 32, using net defined by OOA based on OOA(32107, 161319, S32, 26, 26), using
- OA 13-folding and stacking [i] based on OA(32107, 2097147, S32, 26), using
- discarding factors based on OA(32107, 2097155, S32, 26), using
- discarding parts of the base [i] based on linear OA(12876, 2097155, F128, 26) (dual of [2097155, 2097079, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(12876, 2097152, F128, 26) (dual of [2097152, 2097076, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(12873, 2097152, F128, 25) (dual of [2097152, 2097079, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(25) ⊂ Ce(24) [i] based on
- discarding parts of the base [i] based on linear OA(12876, 2097155, F128, 26) (dual of [2097155, 2097079, 27]-code), using
- discarding factors based on OA(32107, 2097155, S32, 26), 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 | (82, 108, 161319)-net in base 32 | [i] | Net Duplication | |