Information on Result #716765
Linear OA(8139, 526, F8, 52) (dual of [526, 387, 53]-code), using construction XX applied to C1 = C([24,73]), C2 = C([27,75]), C3 = C1 + C2 = C([27,73]), and C∩ = C1 ∩ C2 = C([24,75]) 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 = {24,25,…,73}, and designed minimum distance d ≥ |I|+1 = 51 [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(8136, 511, F8, 52) (dual of [511, 375, 53]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {24,25,…,75}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8124, 511, F8, 47) (dual of [511, 387, 48]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,73}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- 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]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), 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(8139, 263, F8, 2, 52) (dual of [(263, 2), 387, 53]-NRT-code) | [i] | OOA Folding | |