Information on Result #719126
Linear OA(940, 744, F9, 14) (dual of [744, 704, 15]-code), using construction XX applied to C1 = C([726,9]), C2 = C([1,11]), C3 = C1 + C2 = C([1,9]), and C∩ = C1 ∩ C2 = C([726,11]) based on
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,9}, and designed minimum distance d ≥ |I|+1 = 13 [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(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 = {−2,−1,…,11}, and designed minimum distance d ≥ |I|+1 = 15 [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(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]
- 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(940, 372, F9, 2, 14) (dual of [(372, 2), 704, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(940, 248, F9, 3, 14) (dual of [(248, 3), 704, 15]-NRT-code) | [i] | ||