Information on Result #717992
Linear OA(968, 109, F9, 37) (dual of [109, 41, 38]-code), using construction XX applied to C1 = C([71,22]), C2 = C([0,29]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([71,29]) based on
- linear OA(949, 80, F9, 32) (dual of [80, 31, 33]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,22}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,29}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(937, 80, F9, 23) (dual of [80, 43, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(94, 10, F9, 4) (dual of [10, 6, 5]-code or 10-arc in PG(3,9)), using
- extended Reed–Solomon code RSe(6,9) [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 OA(967, 108, F9, 36) (dual of [108, 41, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(968, 54, F9, 2, 37) (dual of [(54, 2), 40, 38]-NRT-code) | [i] | OOA Folding | |