Information on Result #910118
Linear OOA(770, 37, F7, 2, 60) (dual of [(37, 2), 4, 61]-NRT-code), using juxtaposition based on
- linear OOA(712, 8, F7, 2, 12) (dual of [(8, 2), 4, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,7) [i]
- linear OOA(754, 29, F7, 2, 47) (dual of [(29, 2), 4, 48]-NRT-code), using
- OOA 2-folding [i] 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]
- construction X applied to C1 ⊂ C2 with C1 a [50,1,49]-code [i] based on
- OOA 2-folding [i] based on linear OA(754, 58, F7, 47) (dual of [58, 4, 48]-code), using
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(770, 37, F7, 2, 59) (dual of [(37, 2), 4, 60]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(766, 35, F7, 2, 56) (dual of [(35, 2), 4, 57]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(764, 34, F7, 2, 54) (dual of [(34, 2), 4, 55]-NRT-code) | [i] | ||