Information on Result #711546
Linear OA(590, 636, F5, 28) (dual of [636, 546, 29]-code), using construction XX applied to C1 = C([130,155]), C2 = C([133,157]), C3 = C1 + C2 = C([133,155]), and C∩ = C1 ∩ C2 = C([130,157]) based on
- linear OA(582, 624, F5, 26) (dual of [624, 542, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,155}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,157}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(587, 624, F5, 28) (dual of [624, 537, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,157}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(576, 624, F5, 23) (dual of [624, 548, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,155}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- linear OA(51, 6, F5, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(590, 318, F5, 2, 28) (dual of [(318, 2), 546, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(590, 212, F5, 3, 28) (dual of [(212, 3), 546, 29]-NRT-code) | [i] | ||