Information on Result #715570
Linear OA(885, 542, F8, 29) (dual of [542, 457, 30]-code), using construction XX applied to C1 = C([47,72]), C2 = C([53,75]), C3 = C1 + C2 = C([53,72]), and C∩ = C1 ∩ C2 = C([47,75]) based on
- linear OA(869, 511, F8, 26) (dual of [511, 442, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,72}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(861, 511, F8, 23) (dual of [511, 450, 24]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,75}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(876, 511, F8, 29) (dual of [511, 435, 30]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {47,48,…,75}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(854, 511, F8, 20) (dual of [511, 457, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,72}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
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(885, 271, F8, 2, 29) (dual of [(271, 2), 457, 30]-NRT-code) | [i] | OOA Folding | |