Information on Result #2225181
Linear OA(2232, 253, F2, 108) (dual of [253, 21, 109]-code), using 3 times truncation based on linear OA(2235, 256, F2, 111) (dual of [256, 21, 112]-code), using
- an extension Ce(110) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,110], and designed minimum distance d ≥ |I|+1 = 111 [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(2236, 257, F2, 108) (dual of [257, 21, 109]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2237, 258, F2, 108) (dual of [258, 21, 109]-code) | [i] | ||
| 3 | Linear OA(2238, 259, F2, 108) (dual of [259, 21, 109]-code) | [i] | ||
| 4 | Linear OA(2231, 247, F2, 108) (dual of [247, 16, 109]-code) | [i] | Construction Y1 | |
| 5 | Linear OOA(2232, 126, F2, 2, 108) (dual of [(126, 2), 20, 109]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2232, 84, F2, 3, 108) (dual of [(84, 3), 20, 109]-NRT-code) | [i] | ||
| 7 | Linear OOA(2232, 50, F2, 5, 108) (dual of [(50, 5), 18, 109]-NRT-code) | [i] | ||
| 8 | Linear OOA(2232, 36, F2, 7, 108) (dual of [(36, 7), 20, 109]-NRT-code) | [i] | ||