Information on Result #2225207
Linear OA(2202, 249, F2, 78) (dual of [249, 47, 79]-code), using 7 times truncation based on linear OA(2209, 256, F2, 85) (dual of [256, 47, 86]-code), using
- an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [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(2222, 271, F2, 78) (dual of [271, 49, 79]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(2228, 281, F2, 76) (dual of [281, 53, 77]-code) | [i] | ||
| 3 | Linear OOA(2202, 124, F2, 2, 78) (dual of [(124, 2), 46, 79]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2202, 83, F2, 3, 78) (dual of [(83, 3), 47, 79]-NRT-code) | [i] | ||
| 5 | Linear OOA(2202, 49, F2, 5, 78) (dual of [(49, 5), 43, 79]-NRT-code) | [i] | ||