Information on Result #709892
Linear OA(545, 142, F5, 17) (dual of [142, 97, 18]-code), using construction XX applied to C1 = C([16,30]), C2 = C([20,32]), C3 = C1 + C2 = C([20,30]), and C∩ = C1 ∩ C2 = C([16,32]) based on
- linear OA(536, 124, F5, 15) (dual of [124, 88, 16]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,30}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(531, 124, F5, 13) (dual of [124, 93, 14]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,32}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(540, 124, F5, 17) (dual of [124, 84, 18]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,32}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(527, 124, F5, 11) (dual of [124, 97, 12]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {20,21,…,30}, and designed minimum distance d ≥ |I|+1 = 12 [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(545, 71, F5, 2, 17) (dual of [(71, 2), 97, 18]-NRT-code) | [i] | OOA Folding | |