Information on Result #715759
Linear OA(896, 546, F8, 33) (dual of [546, 450, 34]-code), using construction XX applied to C1 = C([53,81]), C2 = C([49,75]), C3 = C1 + C2 = C([53,75]), and C∩ = C1 ∩ C2 = C([49,81]) based on
- 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 = {53,54,…,81}, and designed minimum distance d ≥ |I|+1 = 30 [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 = {49,50,…,75}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(885, 511, F8, 33) (dual of [511, 426, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {49,50,…,81}, and designed minimum distance d ≥ |I|+1 = 34 [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(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 OA(897, 547, F8, 33) (dual of [547, 450, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(895, 545, F8, 32) (dual of [545, 450, 33]-code) | [i] | Truncation | |
| 3 | Linear OOA(896, 273, F8, 2, 33) (dual of [(273, 2), 450, 34]-NRT-code) | [i] | OOA Folding | |