Information on Result #719606
Linear OA(981, 766, F9, 26) (dual of [766, 685, 27]-code), using construction XX applied to C1 = C([722,15]), C2 = C([0,19]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([722,19]) based on
- linear OA(961, 728, F9, 22) (dual of [728, 667, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,15}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,19}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(981, 383, F9, 2, 26) (dual of [(383, 2), 685, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(981, 255, F9, 3, 26) (dual of [(255, 3), 684, 27]-NRT-code) | [i] | ||