Information on Result #709788
Linear OA(533, 142, F5, 12) (dual of [142, 109, 13]-code), using construction XX applied to C1 = C([21,30]), C2 = C([25,32]), C3 = C1 + C2 = C([25,30]), and C∩ = C1 ∩ C2 = C([21,32]) based on
- linear OA(524, 124, F5, 10) (dual of [124, 100, 11]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,30}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(519, 124, F5, 8) (dual of [124, 105, 9]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,32}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(528, 124, F5, 12) (dual of [124, 96, 13]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,32}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(515, 124, F5, 6) (dual of [124, 109, 7]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,30}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-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(533, 71, F5, 2, 12) (dual of [(71, 2), 109, 13]-NRT-code) | [i] | OOA Folding | |