Information on Result #710338
Linear OA(5100, 141, F5, 49) (dual of [141, 41, 50]-code), using construction XX applied to C1 = C([21,67]), C2 = C([19,63]), C3 = C1 + C2 = C([21,63]), and C∩ = C1 ∩ C2 = C([19,67]) based on
- linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,67}, and designed minimum distance d ≥ |I|+1 = 48 [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(595, 124, F5, 49) (dual of [124, 29, 50]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {19,20,…,67}, and designed minimum distance d ≥ |I|+1 = 50 [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(54, 10, F5, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,5)), using
- linear OA(51, 7, F5, 1) (dual of [7, 6, 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(5100, 70, F5, 2, 49) (dual of [(70, 2), 40, 50]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5100, 47, F5, 3, 49) (dual of [(47, 3), 41, 50]-NRT-code) | [i] | ||