Information on Result #1841253
(63, 92, 4681)-net in base 32, using net defined by OOA based on OOA(3292, 4681, S32, 29, 29), using
- OOA 14-folding and stacking with additional row [i] based on OA(3292, 65535, S32, 29), using
- discarding factors based on OA(3292, 65538, S32, 29), using
- discarding parts of the base [i] based on linear OA(25657, 65538, F256, 29) (dual of [65538, 65481, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(25657, 65536, F256, 29) (dual of [65536, 65479, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(28) ⊂ Ce(27) [i] based on
- discarding parts of the base [i] based on linear OA(25657, 65538, F256, 29) (dual of [65538, 65481, 30]-code), using
- discarding factors based on OA(3292, 65538, S32, 29), 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 | (64, 92, 4681)-net in base 32 | [i] | t-Expansion | |
| 2 | (64, 93, 4681)-net in base 32 | [i] | Net Duplication | |
| 3 | (65, 94, 4681)-net in base 32 | [i] | ||
| 4 | (66, 95, 4681)-net in base 32 | [i] | ||
| 5 | (63, 91, 4681)-net in base 32 | [i] | m-Reduction | |