Information on Result #711821
Linear OA(5117, 661, F5, 34) (dual of [661, 544, 35]-code), using construction XX applied to C1 = C([126,155]), C2 = C([131,159]), C3 = C1 + C2 = C([131,155]), and C∩ = C1 ∩ C2 = C([126,159]) based on
- linear OA(594, 624, F5, 30) (dual of [624, 530, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,155}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(593, 624, F5, 29) (dual of [624, 531, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {131,132,…,159}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {126,127,…,159}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(580, 624, F5, 25) (dual of [624, 544, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {131,132,…,155}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(56, 20, F5, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(54, 17, F5, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,5)), 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 OA(5118, 662, F5, 34) (dual of [662, 544, 35]-code) | [i] | Code Embedding in Larger Space | |