Information on Result #2225183
Linear OA(2230, 251, F2, 106) (dual of [251, 21, 107]-code), using 5 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, 106) (dual of [257, 21, 107]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2229, 245, F2, 106) (dual of [245, 16, 107]-code) | [i] | Construction Y1 | |
| 3 | Linear OOA(2230, 125, F2, 2, 106) (dual of [(125, 2), 20, 107]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2230, 83, F2, 3, 106) (dual of [(83, 3), 19, 107]-NRT-code) | [i] | ||
| 5 | Linear OOA(2230, 50, F2, 5, 106) (dual of [(50, 5), 20, 107]-NRT-code) | [i] | ||