Information on Result #711426
Linear OA(586, 645, F5, 26) (dual of [645, 559, 27]-code), using construction XX applied to C1 = C([138,161]), C2 = C([136,157]), C3 = C1 + C2 = C([138,157]), and C∩ = C1 ∩ C2 = C([136,161]) based on
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,161}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,157}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,161}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,157}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(586, 322, F5, 2, 26) (dual of [(322, 2), 558, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(586, 215, F5, 3, 26) (dual of [(215, 3), 559, 27]-NRT-code) | [i] | ||