Information on Result #714549
Linear OA(841, 80, F8, 22) (dual of [80, 39, 23]-code), using construction XX applied to C1 = C([0,18]), C2 = C([5,21]), C3 = C1 + C2 = C([5,18]), and C∩ = C1 ∩ C2 = C([0,21]) based on
- linear OA(829, 63, F8, 19) (dual of [63, 34, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(830, 63, F8, 17) (dual of [63, 33, 18]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {5,6,…,21}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(835, 63, F8, 22) (dual of [63, 28, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(824, 63, F8, 14) (dual of [63, 39, 15]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {5,6,…,18}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(84, 9, F8, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,8)), using
- extended Reed–Solomon code RSe(5,8) [i]
- 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]
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(841, 40, F8, 2, 22) (dual of [(40, 2), 39, 23]-NRT-code) | [i] | OOA Folding | |