Information on Result #610890
Linear OA(243, 2097153, F2, 5) (dual of [2097153, 2097110, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(242, 2097152, F2, 4) (dual of [2097152, 2097110, 5]-code) | [i] | Truncation | |
2 | Linear OA(245, 2097156, F2, 5) (dual of [2097156, 2097111, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
3 | Linear OA(288, 2097157, F2, 9) (dual of [2097157, 2097069, 10]-code) | [i] | ✔ |