Information on Result #895446
Linear OOA(487, 4199762, F4, 2, 9) (dual of [(4199762, 2), 8399437, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(414, 5461, F4, 2, 4) (dual of [(5461, 2), 10908, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 14, 5461)-net over F4, using
- linear OOA(473, 4194301, F4, 2, 9) (dual of [(4194301, 2), 8388529, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(473, 8388602, F4, 9) (dual of [8388602, 8388529, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- OOA 2-folding [i] based on linear OA(473, 8388602, F4, 9) (dual of [8388602, 8388529, 10]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(487, 2099880, F4, 10, 9) (dual of [(2099880, 10), 20998713, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |