Information on Result #1193350
Digital (64, 74, 2796200)-net over F9, using net defined by OOA based on linear OOA(974, 2796200, F9, 14, 10) (dual of [(2796200, 14), 39146726, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(974, 8388601, F9, 2, 10) (dual of [(8388601, 2), 16777128, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(974, 8388602, F9, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-code), using
- trace code [i] based on linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- trace code [i] based on linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(974, 8388602, F9, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-code), using
Mode: Constructive and linear.
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 | Digital (138, 148, 5592400)-net over F3 | [i] | Trace Code for Nets | |