Information on Result #2247410
Linear OA(741, 45, F7, 34) (dual of [45, 4, 35]-code), using 13 times truncation based on linear OA(754, 58, F7, 47) (dual of [58, 4, 48]-code), using
- construction X applied to C1 ⊂ C2 with C1 a [50,1,49]-code [i] based on
- linear OA(746, 50, F7, 41) (dual of [50, 4, 42]-code), using projective code from ovoid in PG(3, 7) [i]
- linear OA(75, 8, F7, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,7)), using
- extended Reed–Solomon code RSe(3,7) [i]
- the expurgated narrow-sense BCH-code C(I) with length 8 | 72−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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 OOA(741, 15, F7, 3, 34) (dual of [(15, 3), 4, 35]-NRT-code) | [i] | OOA Folding | |