Information on Result #720712
Linear OA(9119, 754, F9, 42) (dual of [754, 635, 43]-code), using construction XX applied to C1 = C([63,100]), C2 = C([59,96]), C3 = C1 + C2 = C([63,96]), and C∩ = C1 ∩ C2 = C([59,100]) based on
- linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,100}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(9103, 728, F9, 38) (dual of [728, 625, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,96}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(9112, 728, F9, 42) (dual of [728, 616, 43]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {59,60,…,100}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(991, 728, F9, 34) (dual of [728, 637, 35]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,96}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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(9119, 377, F9, 2, 42) (dual of [(377, 2), 635, 43]-NRT-code) | [i] | OOA Folding | |