Information on Result #641222
Linear OA(766, 75, F7, 46) (dual of [75, 9, 47]-code), using juxtaposition based on
- linear OA(716, 25, F7, 12) (dual of [25, 9, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- extended quadratic residue code Qe(32,7) [i]
- discarding factors / shortening the dual code based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- linear OA(741, 50, F7, 33) (dual of [50, 9, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 50 | 74−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(766, 75, F7, 45) (dual of [75, 9, 46]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(766, 25, F7, 3, 46) (dual of [(25, 3), 9, 47]-NRT-code) | [i] | OOA Folding | |