Information on Result #1841619
(62, 87, 174763)-net in base 64, using net defined by OOA based on OOA(6487, 174763, S64, 25, 25), using
- OOA 12-folding and stacking with additional row [i] based on OA(6487, 2097157, S64, 25), using
- discarding factors based on OA(6487, 2097160, S64, 25), using
- discarding parts of the base [i] based on linear OA(12874, 2097160, F128, 25) (dual of [2097160, 2097086, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(12873, 2097153, F128, 25) (dual of [2097153, 2097080, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(12867, 2097153, F128, 23) (dual of [2097153, 2097086, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(1281, 7, F128, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- discarding parts of the base [i] based on linear OA(12874, 2097160, F128, 25) (dual of [2097160, 2097086, 26]-code), using
- discarding factors based on OA(6487, 2097160, S64, 25), 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 | (63, 88, 174763)-net in base 64 | [i] | Net Duplication | |
| 2 | (64, 89, 174763)-net in base 64 | [i] | ||
| 3 | (62, 86, 174763)-net in base 64 | [i] | m-Reduction | |