Information on Result #895454
Linear OOA(497, 6990504, F4, 2, 9) (dual of [(6990504, 2), 13980911, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(424, 2796203, F4, 2, 4) (dual of [(2796203, 2), 5592382, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (20, 24, 2796203)-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(497, 3495252, F4, 3, 9) (dual of [(3495252, 3), 10485659, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(497, 3495251, F4, 10, 9) (dual of [(3495251, 10), 34952413, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |