Information on Result #718044
Linear OA(959, 92, F9, 36) (dual of [92, 33, 37]-code), using construction XX applied to C1 = C([76,30]), C2 = C([0,31]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([76,31]) based on
- linear OA(954, 80, F9, 35) (dual of [80, 26, 36]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,30}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(948, 80, F9, 32) (dual of [80, 32, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(956, 80, F9, 36) (dual of [80, 24, 37]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,31}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(946, 80, F9, 31) (dual of [80, 34, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
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(959, 46, F9, 2, 36) (dual of [(46, 2), 33, 37]-NRT-code) | [i] | OOA Folding | |