Information on Result #720479
Linear OA(9108, 748, F9, 39) (dual of [748, 640, 40]-code), using construction XX applied to C1 = C([55,91]), C2 = C([59,93]), C3 = C1 + C2 = C([59,91]), and C∩ = C1 ∩ C2 = C([55,93]) based on
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,91}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,93}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,93}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,91}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(94, 13, F9, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,9)), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9108, 374, F9, 2, 39) (dual of [(374, 2), 640, 40]-NRT-code) | [i] | OOA Folding | |