Information on Result #840274
Linear OOA(731, 8403, F7, 2, 8) (dual of [(8403, 2), 16775, 9]-NRT-code), using OOA 2-folding based on linear OA(731, 16806, F7, 8) (dual of [16806, 16775, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
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(736, 8416, F7, 2, 8) (dual of [(8416, 2), 16796, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(731, 8403, F7, 3, 8) (dual of [(8403, 3), 25178, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (23, 31, 8403)-net over F7 | [i] | ||