Information on Result #715301
Linear OA(852, 526, F8, 19) (dual of [526, 474, 20]-code), using construction XX applied to C1 = C([57,73]), C2 = C([60,75]), C3 = C1 + C2 = C([60,73]), and C∩ = C1 ∩ C2 = C([57,75]) based on
- linear OA(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,73}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(843, 511, F8, 16) (dual of [511, 468, 17]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {60,61,…,75}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,75}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {60,61,…,73}, and designed minimum distance d ≥ |I|+1 = 15 [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(852, 263, F8, 2, 19) (dual of [(263, 2), 474, 20]-NRT-code) | [i] | OOA Folding | |