Information on Result #1824856
(51, 72, 838860)-net in base 128, using base change based on digital (42, 63, 838860)-net over F256, using
- 2562 times duplication [i] based on digital (40, 61, 838860)-net over F256, using
- net defined by OOA [i] based on linear OOA(25661, 838860, F256, 21, 21) (dual of [(838860, 21), 17615999, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(25661, 8388601, F256, 21) (dual of [8388601, 8388540, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(25661, 8388601, F256, 21) (dual of [8388601, 8388540, 22]-code), using
- net defined by OOA [i] based on linear OOA(25661, 838860, F256, 21, 21) (dual of [(838860, 21), 17615999, 22]-NRT-code), 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 | (52, 72, 838860)-net in base 128 | [i] | t-Expansion | |
| 2 | (52, 73, 838860)-net in base 128 | [i] | Net Duplication | |
| 3 | (53, 74, 838860)-net in base 128 | [i] | ||
| 4 | (54, 75, 838860)-net in base 128 | [i] | ||
| 5 | (55, 76, 838860)-net in base 128 | [i] | ||
| 6 | (56, 77, 838860)-net in base 128 | [i] | ||
| 7 | (57, 78, 838860)-net in base 128 | [i] | ||
| 8 | (51, 71, 838860)-net in base 128 | [i] | m-Reduction | |