Information on Result #613540

Linear OA(519, 1953126, F5, 3) (dual of [1953126, 1953107, 4]-code or 1953126-cap in PG(18,5)), using the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound)

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:

ResultThis
result
only
Method
1Linear OA(520, 1953128, F5, 3) (dual of [1953128, 1953108, 4]-code or 1953128-cap in PG(19,5)) [i]Construction X with Cyclic Codes
2Linear OA(538, 1953145, F5, 5) (dual of [1953145, 1953107, 6]-code) [i]
3Linear OA(538, 1953146, F5, 5) (dual of [1953146, 1953108, 6]-code) [i]Construction X4 with Cyclic Codes