Information on Result #719128
Linear OA(945, 749, F9, 15) (dual of [749, 704, 16]-code), using construction XX applied to C1 = C([725,9]), C2 = C([1,11]), C3 = C1 + C2 = C([1,9]), and C∩ = C1 ∩ C2 = C([725,11]) based on
- 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 = {−3,−2,…,9}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(930, 728, F9, 11) (dual of [728, 698, 12]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,11}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(924, 728, F9, 9) (dual of [728, 704, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(945, 374, F9, 2, 15) (dual of [(374, 2), 703, 16]-NRT-code) | [i] | OOA Folding | |