Information on Result #1841677
(56, 90, 3855)-net in base 64, using net defined by OOA based on OOA(6490, 3855, S64, 34, 34), using
- OA 17-folding and stacking [i] based on OA(6490, 65535, S64, 34), using
- discarding factors based on OA(6490, 65538, S64, 34), using
- discarding parts of the base [i] based on linear OA(25667, 65538, F256, 34) (dual of [65538, 65471, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(25667, 65536, F256, 34) (dual of [65536, 65469, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(25665, 65536, F256, 33) (dual of [65536, 65471, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- discarding parts of the base [i] based on linear OA(25667, 65538, F256, 34) (dual of [65538, 65471, 35]-code), using
- discarding factors based on OA(6490, 65538, S64, 34), 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 | (57, 91, 3855)-net in base 64 | [i] | Net Duplication | |