Information on Result #1014280
Linear OOA(833, 1374, F8, 3, 9) (dual of [(1374, 3), 4089, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(84, 9, F8, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;23,8) [i]
- linear OOA(829, 1365, F8, 3, 9) (dual of [(1365, 3), 4066, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(829, 4095, F8, 9) (dual of [4095, 4066, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- OOA 3-folding [i] based on linear OA(829, 4095, F8, 9) (dual of [4095, 4066, 10]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(8171, 5593776, F8, 3, 18) (dual of [(5593776, 3), 16781157, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |