Information on Result #717898
Linear OA(961, 102, F9, 34) (dual of [102, 41, 35]-code), using construction XX applied to C1 = C([9,40]), C2 = C([7,32]), C3 = C1 + C2 = C([9,32]), and C∩ = C1 ∩ C2 = C([7,40]) based on
- linear OA(948, 80, F9, 32) (dual of [80, 32, 33]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,40}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(943, 80, F9, 26) (dual of [80, 37, 27]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,32}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(952, 80, F9, 34) (dual of [80, 28, 35]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,40}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(939, 80, F9, 24) (dual of [80, 41, 25]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {9,10,…,32}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(98, 17, F9, 7) (dual of [17, 9, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(98, 18, F9, 7) (dual of [18, 10, 8]-code), using
- 2 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]
- 2 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(98, 18, F9, 7) (dual of [18, 10, 8]-code), using
- linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-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.
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(961, 51, F9, 2, 34) (dual of [(51, 2), 41, 35]-NRT-code) | [i] | OOA Folding | |