Information on Result #720577
Linear OA(9123, 766, F9, 42) (dual of [766, 643, 43]-code), using construction XX applied to C1 = C([63,100]), C2 = C([59,94]), C3 = C1 + C2 = C([63,94]), 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(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 = {59,60,…,94}, and designed minimum distance d ≥ |I|+1 = 37 [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(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 = {63,64,…,94}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- 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(9123, 383, F9, 2, 42) (dual of [(383, 2), 643, 43]-NRT-code) | [i] | OOA Folding | |