Information on Result #978715
Linear OOA(798, 34, F7, 3, 83) (dual of [(34, 3), 4, 84]-NRT-code), using OOA 3-folding based on linear OA(798, 102, F7, 83) (dual of [102, 4, 84]-code), using
- 6 times truncation [i] based on linear OA(7104, 108, F7, 89) (dual of [108, 4, 90]-code), using
- juxtaposition [i] based on
- linear OA(746, 50, F7, 41) (dual of [50, 4, 42]-code), using
- 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]
- construction X applied to C1 ⊂ C2 with C1 a [50,1,49]-code [i] based on
- juxtaposition [i] based on
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(798, 34, F7, 3, 82) (dual of [(34, 3), 4, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(798, 34, F7, 3, 81) (dual of [(34, 3), 4, 82]-NRT-code) | [i] | ||