Information on Result #710264
Linear OA(586, 134, F5, 43) (dual of [134, 48, 44]-code), using construction XX applied to C1 = C([21,61]), C2 = C([24,63]), C3 = C1 + C2 = C([24,61]), and C∩ = C1 ∩ C2 = C([21,63]) based on
- linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,61}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(580, 124, F5, 40) (dual of [124, 44, 41]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {24,25,…,63}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,63}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(576, 124, F5, 38) (dual of [124, 48, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {24,25,…,61}, and designed minimum distance d ≥ |I|+1 = 39 [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(586, 67, F5, 2, 43) (dual of [(67, 2), 48, 44]-NRT-code) | [i] | OOA Folding | |