Information on Result #1841693
(51, 90, 862)-net in base 64, using net defined by OOA based on OOA(6490, 862, S64, 39, 39), using
- OOA 19-folding and stacking with additional row [i] based on OA(6490, 16379, S64, 39), using
- discarding factors based on OA(6490, 16386, S64, 39), using
- discarding parts of the base [i] based on linear OA(12877, 16386, F128, 39) (dual of [16386, 16309, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(37) [i] based on
- linear OA(12877, 16384, F128, 39) (dual of [16384, 16307, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(12875, 16384, F128, 38) (dual of [16384, 16309, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(38) ⊂ Ce(37) [i] based on
- discarding parts of the base [i] based on linear OA(12877, 16386, F128, 39) (dual of [16386, 16309, 40]-code), using
- discarding factors based on OA(6490, 16386, S64, 39), 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 | (51, 89, 862)-net in base 64 | [i] | m-Reduction | |