Information on Result #714393
Linear OA(775, 809, F7, 23) (dual of [809, 734, 24]-code), using construction XX applied to C1 = C([131,152]), C2 = C([130,150]), C3 = C1 + C2 = C([131,150]), and C∩ = C1 ∩ C2 = C([130,152]) based on
- linear OA(770, 800, F7, 22) (dual of [800, 730, 23]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {131,132,…,152}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(770, 800, F7, 21) (dual of [800, 730, 22]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,…,150}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(774, 800, F7, 23) (dual of [800, 726, 24]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,…,152}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(766, 800, F7, 20) (dual of [800, 734, 21]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {131,132,…,150}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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(775, 404, F7, 2, 23) (dual of [(404, 2), 733, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(775, 269, F7, 3, 23) (dual of [(269, 3), 732, 24]-NRT-code) | [i] | ||