Information on Result #717259
Linear OA(839, 592, F8, 12) (dual of [592, 553, 13]-code), using construction XX applied to C1 = C([251,261]), C2 = C([250,259]), C3 = C1 + C2 = C([251,259]), and C∩ = C1 ∩ C2 = C([250,261]) based on
- linear OA(834, 585, F8, 11) (dual of [585, 551, 12]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {251,252,…,261}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(836, 585, F8, 10) (dual of [585, 549, 11]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {250,251,…,259}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(838, 585, F8, 12) (dual of [585, 547, 13]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {250,251,…,261}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(832, 585, F8, 9) (dual of [585, 553, 10]-code), using the BCH-code C(I) with length 585 | 84−1, defining interval I = {251,252,…,259}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(81, 3, F8, 1) (dual of [3, 2, 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(839, 296, F8, 2, 12) (dual of [(296, 2), 553, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(839, 197, F8, 3, 12) (dual of [(197, 3), 552, 13]-NRT-code) | [i] | ||