Information on Result #719062
Linear OA(954, 766, F9, 16) (dual of [766, 712, 17]-code), using construction XX applied to C1 = C([722,5]), C2 = C([0,9]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([722,9]) based on
- linear OA(934, 728, F9, 12) (dual of [728, 694, 13]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,5}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(925, 728, F9, 10) (dual of [728, 703, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,9}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(916, 728, F9, 6) (dual of [728, 712, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [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(954, 383, F9, 2, 16) (dual of [(383, 2), 712, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(954, 255, F9, 3, 16) (dual of [(255, 3), 711, 17]-NRT-code) | [i] | ||