Information on Result #714527
Linear OA(837, 74, F8, 21) (dual of [74, 37, 22]-code), using construction XX applied to C1 = C([62,18]), C2 = C([4,19]), C3 = C1 + C2 = C([4,18]), and C∩ = C1 ∩ C2 = C([62,19]) based on
- linear OA(831, 63, F8, 20) (dual of [63, 32, 21]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(828, 63, F8, 16) (dual of [63, 35, 17]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {4,5,…,19}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(833, 63, F8, 21) (dual of [63, 30, 22]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(826, 63, F8, 15) (dual of [63, 37, 16]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {4,5,…,18}, and designed minimum distance d ≥ |I|+1 = 16 [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(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(837, 37, F8, 2, 21) (dual of [(37, 2), 37, 22]-NRT-code) | [i] | OOA Folding | |