Information on Result #738170
Linear OA(778, 87, F7, 55) (dual of [87, 9, 56]-code), using juxtaposition based on
- linear OA(728, 37, F7, 21) (dual of [37, 9, 22]-code), using
- 1 times truncation [i] based on linear OA(729, 38, F7, 22) (dual of [38, 9, 23]-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(778, 87, F7, 54) (dual of [87, 9, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(778, 29, F7, 3, 55) (dual of [(29, 3), 9, 56]-NRT-code) | [i] | OOA Folding | |