Information on Result #1018659
Linear OOA(8155, 2796283, F81, 3, 13) (dual of [(2796283, 3), 8388794, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(816, 82, F81, 3, 6) (dual of [(82, 3), 240, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;240,81) [i]
- linear OOA(8149, 2796201, F81, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-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(8176, 5592484, F81, 3, 13) (dual of [(5592484, 3), 16777376, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8179, 5592566, F81, 3, 13) (dual of [(5592566, 3), 16777619, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(8155, 1398141, F81, 15, 13) (dual of [(1398141, 15), 20972060, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |