Information on Result #715481
Linear OA(881, 546, F8, 27) (dual of [546, 465, 28]-code), using construction XX applied to C1 = C([59,81]), C2 = C([55,75]), C3 = C1 + C2 = C([59,75]), and C∩ = C1 ∩ C2 = C([55,81]) based on
- 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 = {59,60,…,81}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(855, 511, F8, 21) (dual of [511, 456, 22]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,75}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(870, 511, F8, 27) (dual of [511, 441, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,81}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(846, 511, F8, 17) (dual of [511, 465, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {59,60,…,75}, and designed minimum distance d ≥ |I|+1 = 18 [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(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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(881, 273, F8, 2, 27) (dual of [(273, 2), 465, 28]-NRT-code) | [i] | OOA Folding | |