Information on Result #714652
Linear OA(847, 74, F8, 29) (dual of [74, 27, 30]-code), using construction XX applied to C1 = C([0,27]), C2 = C([6,28]), C3 = C1 + C2 = C([6,27]), and C∩ = C1 ∩ C2 = C([0,28]) based on
- linear OA(840, 63, F8, 28) (dual of [63, 23, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(837, 63, F8, 23) (dual of [63, 26, 24]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {6,7,…,28}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(842, 63, F8, 29) (dual of [63, 21, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(835, 63, F8, 22) (dual of [63, 28, 23]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {6,7,…,27}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
- extended Reed–Solomon code RSe(4,8) [i]
- linear OA(80, 2, F8, 0) (dual of [2, 2, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(847, 37, F8, 2, 29) (dual of [(37, 2), 27, 30]-NRT-code) | [i] | OOA Folding | |