Information on Result #716035
Linear OA(897, 526, F8, 36) (dual of [526, 429, 37]-code), using construction XX applied to C1 = C([40,73]), C2 = C([43,75]), C3 = C1 + C2 = C([43,73]), and C∩ = C1 ∩ C2 = C([40,75]) based on
- linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,73}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(888, 511, F8, 33) (dual of [511, 423, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,75}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(894, 511, F8, 36) (dual of [511, 417, 37]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,75}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(882, 511, F8, 31) (dual of [511, 429, 32]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {43,44,…,73}, and designed minimum distance d ≥ |I|+1 = 32 [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(897, 263, F8, 2, 36) (dual of [(263, 2), 429, 37]-NRT-code) | [i] | OOA Folding | |