Information on Result #2222982
Linear OA(2123, 254, F2, 35) (dual of [254, 131, 36]-code), using 2 times truncation based on linear OA(2125, 256, F2, 37) (dual of [256, 131, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(2140, 272, F2, 35) (dual of [272, 132, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2123, 127, F2, 2, 35) (dual of [(127, 2), 131, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2123, 84, F2, 3, 35) (dual of [(84, 3), 129, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(2123, 63, F2, 4, 35) (dual of [(63, 4), 129, 36]-NRT-code) | [i] | ||
| 5 | Linear OOA(2123, 50, F2, 5, 35) (dual of [(50, 5), 127, 36]-NRT-code) | [i] | ||