Information on Result #895436
Linear OOA(477, 4194306, F4, 2, 9) (dual of [(4194306, 2), 8388535, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(44, 5, F4, 2, 4) (dual of [(5, 2), 6, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;6,4) [i]
- 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(477, 4194306, F4, 3, 9) (dual of [(4194306, 3), 12582841, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (68, 77, 4194306)-net over F4 | [i] | ||
| 3 | Linear OOA(477, 2097152, F4, 10, 9) (dual of [(2097152, 10), 20971443, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |