Information on Result #716737
Linear OA(8158, 554, F8, 55) (dual of [554, 396, 56]-code), using construction XX applied to C1 = C([505,43]), C2 = C([0,48]), C3 = C1 + C2 = C([0,43]), and C∩ = C1 ∩ C2 = C([505,48]) based on
- linear OA(8133, 511, F8, 50) (dual of [511, 378, 51]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,43}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,48}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(86, 18, F8, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code) (see above)
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-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(8158, 277, F8, 2, 55) (dual of [(277, 2), 396, 56]-NRT-code) | [i] | OOA Folding | |