Information on Result #719260
Linear OA(955, 753, F9, 18) (dual of [753, 698, 19]-code), using construction XX applied to C1 = C([76,90]), C2 = C([80,93]), C3 = C1 + C2 = C([80,90]), and C∩ = C1 ∩ C2 = C([76,93]) based on
- linear OA(942, 728, F9, 15) (dual of [728, 686, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,90}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {80,81,…,93}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(949, 728, F9, 18) (dual of [728, 679, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,93}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(930, 728, F9, 11) (dual of [728, 698, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {80,81,…,90}, and designed minimum distance d ≥ |I|+1 = 12 [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(955, 251, F9, 3, 18) (dual of [(251, 3), 698, 19]-NRT-code) | [i] | OOA Folding | |