Information on Result #2230828
Linear OA(3109, 241, F3, 36) (dual of [241, 132, 37]-code), using 2 times truncation based on linear OA(3111, 243, F3, 38) (dual of [243, 132, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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(3110, 243, F3, 36) (dual of [243, 133, 37]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(3109, 120, F3, 2, 36) (dual of [(120, 2), 131, 37]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3109, 80, F3, 3, 36) (dual of [(80, 3), 131, 37]-NRT-code) | [i] | ||