Information on Result #709914
Linear OA(547, 140, F5, 18) (dual of [140, 93, 19]-code), using construction XX applied to C1 = C([15,31]), C2 = C([19,32]), C3 = C1 + C2 = C([19,31]), and C∩ = C1 ∩ C2 = C([15,32]) 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 = {15,16,…,31}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {19,20,…,32}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(543, 124, F5, 18) (dual of [124, 81, 19]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {15,16,…,32}, and designed minimum distance d ≥ |I|+1 = 19 [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 = {19,20,…,31}, 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(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(547, 70, F5, 2, 18) (dual of [(70, 2), 93, 19]-NRT-code) | [i] | OOA Folding | |