Information on Result #718322
Linear OA(992, 114, F9, 60) (dual of [114, 22, 61]-code), using construction XX applied to C1 = C([10,59]), C2 = C([0,49]), C3 = C1 + C2 = C([10,49]), and C∩ = C1 ∩ C2 = C([0,59]) based on
- linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,59}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(972, 80, F9, 60) (dual of [80, 8, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,49}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(910, 17, F9, 9) (dual of [17, 7, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- discarding factors / shortening the dual code based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(910, 17, F9, 9) (dual of [17, 7, 10]-code) (see above)
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(992, 57, F9, 2, 60) (dual of [(57, 2), 22, 61]-NRT-code) | [i] | OOA Folding | |