Information on Result #1202477
Linear OOA(8152, 75955, F81, 14, 14) (dual of [(75955, 14), 1063318, 15]-NRT-code), using OA 7-folding and stacking based on linear OA(8152, 531685, F81, 14) (dual of [531685, 531633, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8152, 531687, F81, 14) (dual of [531687, 531635, 15]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8112, 246, F81, 7) (dual of [246, 234, 8]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(812, 82, F81, 2) (dual of [82, 80, 3]-code or 82-arc in PG(1,81)), using
- extended Reed–Solomon code RSe(80,81) [i]
- Hamming code H(2,81) [i]
- linear OA(813, 82, F81, 3) (dual of [82, 79, 4]-code or 82-arc in PG(2,81) or 82-cap in PG(2,81)), using
- extended Reed–Solomon code RSe(79,81) [i]
- oval in PG(2, 81) [i]
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- extended Reed–Solomon code RSe(75,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(812, 82, F81, 2) (dual of [82, 80, 3]-code or 82-arc in PG(1,81)), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8112, 246, F81, 7) (dual of [246, 234, 8]-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (38, 52, 75955)-net over F81 | [i] | Net Defined by OOA | |