Information on Result #719542
Linear OA(978, 766, F9, 25) (dual of [766, 688, 26]-code), using construction XX applied to C1 = C([722,14]), C2 = C([0,18]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([722,18]) based on
- linear OA(958, 728, F9, 21) (dual of [728, 670, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,14}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,18}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(97, 25, F9, 5) (dual of [25, 18, 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, 13, F9, 3) (dual of [13, 9, 4]-code or 13-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(978, 383, F9, 2, 25) (dual of [(383, 2), 688, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(978, 255, F9, 3, 25) (dual of [(255, 3), 687, 26]-NRT-code) | [i] | ||