Information on Result #710331
Linear OA(595, 134, F5, 48) (dual of [134, 39, 49]-code), using construction XX applied to C1 = C([16,61]), C2 = C([19,63]), C3 = C1 + C2 = C([19,61]), and C∩ = C1 ∩ C2 = C([16,63]) based on
- linear OA(588, 124, F5, 46) (dual of [124, 36, 47]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,61}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(589, 124, F5, 45) (dual of [124, 35, 46]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {19,20,…,63}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,63}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(585, 124, F5, 43) (dual of [124, 39, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {19,20,…,61}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- 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(595, 67, F5, 2, 48) (dual of [(67, 2), 39, 49]-NRT-code) | [i] | OOA Folding | |