Information on Result #720166
Linear OA(9111, 775, F9, 36) (dual of [775, 664, 37]-code), using construction XX applied to C1 = C([722,23]), C2 = C([0,29]), C3 = C1 + C2 = C([0,23]), and C∩ = C1 ∩ C2 = C([722,29]) based on
- linear OA(982, 728, F9, 30) (dual of [728, 646, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,23}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,29}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [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(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code) (see above)
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(9111, 387, F9, 2, 36) (dual of [(387, 2), 663, 37]-NRT-code) | [i] | OOA Folding | |