Information on Result #715760
Linear OA(894, 541, F8, 33) (dual of [541, 447, 34]-code), using construction XX applied to C1 = C([52,81]), C2 = C([49,75]), C3 = C1 + C2 = C([52,75]), and C∩ = C1 ∩ C2 = C([49,81]) based on
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {52,53,…,81}, and designed minimum distance d ≥ |I|+1 = 31 [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(864, 511, F8, 24) (dual of [511, 447, 25]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {52,53,…,75}, and designed minimum distance d ≥ |I|+1 = 25 [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, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [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 OA(895, 542, F8, 33) (dual of [542, 447, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(894, 270, F8, 2, 33) (dual of [(270, 2), 446, 34]-NRT-code) | [i] | OOA Folding | |