Information on Result #710167
Linear OA(585, 141, F5, 40) (dual of [141, 56, 41]-code), using construction XX applied to C1 = C([25,62]), C2 = C([29,64]), C3 = C1 + C2 = C([29,62]), and C∩ = C1 ∩ C2 = C([25,64]) based on
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,62}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(574, 124, F5, 36) (dual of [124, 50, 37]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,64}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(580, 124, F5, 40) (dual of [124, 44, 41]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {25,26,…,64}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,62}, and designed minimum distance d ≥ |I|+1 = 35 [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(585, 70, F5, 2, 40) (dual of [(70, 2), 55, 41]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(585, 47, F5, 3, 40) (dual of [(47, 3), 56, 41]-NRT-code) | [i] | ||