Information on Result #716061
Linear OA(8133, 568, F8, 43) (dual of [568, 435, 44]-code), using construction XX applied to C1 = C([502,27]), C2 = C([0,33]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([502,33]) based on
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−9,−8,…,27}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8112, 511, F8, 43) (dual of [511, 399, 44]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−9,−8,…,33}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(814, 35, F8, 8) (dual of [35, 21, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-code), using
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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(8133, 284, F8, 2, 43) (dual of [(284, 2), 435, 44]-NRT-code) | [i] | OOA Folding | |