Information on Result #716731
Linear OA(8153, 549, F8, 54) (dual of [549, 396, 55]-code), using construction XX applied to C1 = C([32,81]), C2 = C([28,75]), C3 = C1 + C2 = C([32,75]), and C∩ = C1 ∩ C2 = C([28,81]) based on
- linear OA(8130, 511, F8, 50) (dual of [511, 381, 51]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {32,33,…,81}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8127, 511, F8, 48) (dual of [511, 384, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {28,29,…,75}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {28,29,…,81}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {32,33,…,75}, and designed minimum distance d ≥ |I|+1 = 45 [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, 16, F8, 3) (dual of [16, 12, 4]-code or 16-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(8154, 550, F8, 54) (dual of [550, 396, 55]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8153, 274, F8, 2, 54) (dual of [(274, 2), 395, 55]-NRT-code) | [i] | OOA Folding | |