Information on Result #610975
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
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(233, 70, F2, 11) (dual of [70, 37, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(235, 71, F2, 13) (dual of [71, 36, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(229, 68, F2, 11) (dual of [68, 39, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(232, 72, F2, 11) (dual of [72, 40, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(233, 78, F2, 11) (dual of [78, 45, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(232, 73, F2, 11) (dual of [73, 41, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(231, 71, F2, 11) (dual of [71, 40, 12]-code) | [i] | ✔ | |
| 8 | Linear OOA(228, 32, F2, 2, 11) (dual of [(32, 2), 36, 12]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(228, 16, F2, 4, 11) (dual of [(16, 4), 36, 12]-NRT-code) | [i] | ||