Information on Result #672948
Linear OA(289, 2048, F2, 17) (dual of [2048, 1959, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2101, 2060, F2, 19) (dual of [2060, 1959, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(290, 2060, F2, 17) (dual of [2060, 1970, 18]-code) | [i] | ✔ | |
| 3 | Linear OOA(289, 1024, F2, 2, 17) (dual of [(1024, 2), 1959, 18]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(289, 512, F2, 4, 17) (dual of [(512, 4), 1959, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(289, 409, F2, 5, 17) (dual of [(409, 5), 1956, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(289, 341, F2, 6, 17) (dual of [(341, 6), 1957, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(289, 292, F2, 7, 17) (dual of [(292, 7), 1955, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(289, 256, F2, 8, 17) (dual of [(256, 8), 1959, 18]-NRT-code) | [i] | ||