Information on Result #709927
Linear OA(551, 144, F5, 19) (dual of [144, 93, 20]-code), using construction XX applied to C1 = C([20,36]), C2 = C([18,32]), C3 = C1 + C2 = C([20,32]), and C∩ = C1 ∩ C2 = C([18,36]) based on
- 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 = {20,21,…,36}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(537, 124, F5, 15) (dual of [124, 87, 16]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,32}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(546, 124, F5, 19) (dual of [124, 78, 20]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {18,19,…,36}, and designed minimum distance d ≥ |I|+1 = 20 [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(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-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(551, 72, F5, 2, 19) (dual of [(72, 2), 93, 20]-NRT-code) | [i] | OOA Folding | |