Information on Result #641218
Linear OA(760, 69, F7, 42) (dual of [69, 9, 43]-code), using juxtaposition based on
- linear OA(710, 19, F7, 8) (dual of [19, 9, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- extended quadratic residue code Qe(20,7) [i]
- discarding factors / shortening the dual code based on linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-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(760, 69, F7, 41) (dual of [69, 9, 42]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(760, 23, F7, 3, 42) (dual of [(23, 3), 9, 43]-NRT-code) | [i] | OOA Folding | |