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