Information on Result #716919
Linear OA(8165, 546, F8, 59) (dual of [546, 381, 60]-code), using construction XX applied to C1 = C([27,81]), C2 = C([23,75]), C3 = C1 + C2 = C([27,75]), and C∩ = C1 ∩ C2 = C([23,81]) based on
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,81}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {23,24,…,75}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {23,24,…,81}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(8130, 511, F8, 49) (dual of [511, 381, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,75}, and designed minimum distance d ≥ |I|+1 = 50 [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(8165, 273, F8, 2, 59) (dual of [(273, 2), 381, 60]-NRT-code) | [i] | OOA Folding | |