Information on Result #719214
Linear OA(952, 753, F9, 17) (dual of [753, 701, 18]-code), using construction XX applied to C1 = C([77,90]), C2 = C([81,93]), C3 = C1 + C2 = C([81,90]), and C∩ = C1 ∩ C2 = C([77,93]) based on
- linear OA(939, 728, F9, 14) (dual of [728, 689, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {77,78,…,90}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,93}, and designed minimum distance d ≥ |I|+1 = 14 [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 = {77,78,…,93}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(927, 728, F9, 10) (dual of [728, 701, 11]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {81,82,…,90}, and designed minimum distance d ≥ |I|+1 = 11 [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(952, 251, F9, 3, 17) (dual of [(251, 3), 701, 18]-NRT-code) | [i] | OOA Folding | |