Information on Result #719413
Linear OA(959, 744, F9, 21) (dual of [744, 685, 22]-code), using construction XX applied to C1 = C([72,91]), C2 = C([76,92]), C3 = C1 + C2 = C([76,91]), and C∩ = C1 ∩ C2 = C([72,92]) based on
- linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,91}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,92}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,92}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,91}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(94, 13, F9, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,9)), using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(959, 372, F9, 2, 21) (dual of [(372, 2), 685, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(959, 248, F9, 3, 21) (dual of [(248, 3), 685, 22]-NRT-code) | [i] | ||