Information on Result #661829
Linear OA(233, 70, F2, 11) (dual of [70, 37, 12]-code), using (u, u+v)-construction based on
- linear OA(25, 6, F2, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,2)), using
- dual of repetition code with length 6 [i]
- linear OA(228, 64, F2, 11) (dual of [64, 36, 12]-code), using
- an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2259, 582, F2, 55) (dual of [582, 323, 56]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 2 | Linear OA(2250, 582, F2, 53) (dual of [582, 332, 54]-code) | [i] | ||
| 3 | Linear OA(2241, 582, F2, 51) (dual of [582, 341, 52]-code) | [i] | ||