Information on Result #699664
Linear OA(1287, 2097153, F128, 3) (dual of [2097153, 2097146, 4]-code or 2097153-cap in PG(6,128)), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, 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(12814, 2097160, F128, 5) (dual of [2097160, 2097146, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(12814, 2097161, F128, 5) (dual of [2097161, 2097147, 6]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |