Information on Result #641221
Linear OA(765, 74, F7, 45) (dual of [74, 9, 46]-code), using juxtaposition based on
- linear OA(715, 24, F7, 11) (dual of [24, 9, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(715, 30, F7, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,7) [i]
- discarding factors / shortening the dual code based on linear OA(715, 30, F7, 11) (dual of [30, 15, 12]-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(765, 74, F7, 44) (dual of [74, 9, 45]-code) | [i] | Strength Reduction | |