Information on Result #720319
Linear OA(9103, 753, F9, 36) (dual of [753, 650, 37]-code), using construction XX applied to C1 = C([58,90]), C2 = C([62,93]), C3 = C1 + C2 = C([62,90]), and C∩ = C1 ∩ C2 = C([58,93]) based on
- linear OA(990, 728, F9, 33) (dual of [728, 638, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,90}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,93}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,93}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(978, 728, F9, 29) (dual of [728, 650, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {62,63,…,90}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), using
- linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9103, 251, F9, 3, 36) (dual of [(251, 3), 650, 37]-NRT-code) | [i] | OOA Folding | |