Information on Result #976273
Linear OOA(760, 5602, F7, 3, 14) (dual of [(5602, 3), 16746, 15]-NRT-code), using OOA 3-folding based on linear OA(760, 16806, F7, 14) (dual of [16806, 16746, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(760, 16807, F7, 14) (dual of [16807, 16747, 15]-code), using
- 1 times truncation [i] based on linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(761, 16808, F7, 15) (dual of [16808, 16747, 16]-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(768, 5615, F7, 3, 14) (dual of [(5615, 3), 16777, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(770, 5618, F7, 3, 14) (dual of [(5618, 3), 16784, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(771, 5623, F7, 3, 14) (dual of [(5623, 3), 16798, 15]-NRT-code) | [i] | ||