Information on Result #717360
Linear OA(8138, 598, F8, 42) (dual of [598, 460, 43]-code), using construction XX applied to C1 = C([213,253]), C2 = C([212,250]), C3 = C1 + C2 = C([213,250]), and C∩ = C1 ∩ C2 = C([212,253]) based on
- linear OA(8132, 585, F8, 41) (dual of [585, 453, 42]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {213,214,…,253}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8128, 585, F8, 39) (dual of [585, 457, 40]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {212,213,…,250}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(8136, 585, F8, 42) (dual of [585, 449, 43]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {212,213,…,253}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(8124, 585, F8, 38) (dual of [585, 461, 39]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {213,214,…,250}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- linear OA(80, 4, F8, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(8138, 299, F8, 2, 42) (dual of [(299, 2), 460, 43]-NRT-code) | [i] | OOA Folding | |