Information on Result #720687
Linear OA(9117, 749, F9, 42) (dual of [749, 632, 43]-code), using construction XX applied to C1 = C([725,36]), C2 = C([1,38]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([725,38]) based on
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,36}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(9102, 728, F9, 38) (dual of [728, 626, 39]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,38], 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 = {−3,−2,…,38}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(996, 728, F9, 36) (dual of [728, 632, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(94, 14, F9, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,9)), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), 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(9117, 374, F9, 2, 42) (dual of [(374, 2), 631, 43]-NRT-code) | [i] | OOA Folding | |