Information on Result #1841575
(30, 53, 1489)-net in base 64, using net defined by OOA based on OOA(6453, 1489, S64, 23, 23), using
- OOA 11-folding and stacking with additional row [i] based on OA(6453, 16380, S64, 23), using
- discarding factors based on OA(6453, 16386, S64, 23), using
- discarding parts of the base [i] based on linear OA(12845, 16386, F128, 23) (dual of [16386, 16341, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12843, 16384, F128, 22) (dual of [16384, 16341, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 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(22) ⊂ Ce(21) [i] based on
- discarding parts of the base [i] based on linear OA(12845, 16386, F128, 23) (dual of [16386, 16341, 24]-code), using
- discarding factors based on OA(6453, 16386, S64, 23), 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 | (31, 54, 1489)-net in base 64 | [i] | Net Duplication | |
| 2 | (30, 52, 1489)-net in base 64 | [i] | m-Reduction | |