Information on Result #717298
Linear OA(8100, 595, F8, 30) (dual of [595, 495, 31]-code), using construction XX applied to C1 = C([55,83]), C2 = C([58,84]), C3 = C1 + C2 = C([58,83]), and C∩ = C1 ∩ C2 = C([55,84]) based on
- linear OA(894, 585, F8, 29) (dual of [585, 491, 30]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {55,56,…,83}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(894, 585, F8, 27) (dual of [585, 491, 28]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {58,59,…,84}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(898, 585, F8, 30) (dual of [585, 487, 31]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {55,56,…,84}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(890, 585, F8, 26) (dual of [585, 495, 27]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {58,59,…,83}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(82, 6, F8, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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(8100, 297, F8, 2, 30) (dual of [(297, 2), 494, 31]-NRT-code) | [i] | OOA Folding | |