Information on Result #717361
Linear OA(8137, 594, F8, 42) (dual of [594, 457, 43]-code), using construction XX applied to C1 = C([213,253]), C2 = C([212,251]), C3 = C1 + C2 = C([213,251]), 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(8132, 585, F8, 40) (dual of [585, 453, 41]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {212,213,…,251}, and designed minimum distance d ≥ |I|+1 = 41 [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(8128, 585, F8, 39) (dual of [585, 457, 40]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {213,214,…,251}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 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
- 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(8137, 297, F8, 2, 42) (dual of [(297, 2), 457, 43]-NRT-code) | [i] | OOA Folding | |