Information on Result #2239938
Linear OA(4227, 243, F4, 157) (dual of [243, 16, 158]-code), using 14 times truncation based on linear OA(4241, 257, F4, 171) (dual of [257, 16, 172]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,85], and minimum distance d ≥ |{−85,−84,…,85}|+1 = 172 (BCH-bound) [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(4226, 235, F4, 157) (dual of [235, 9, 158]-code) | [i] | Construction Y1 | |
| 2 | Linear OA(4246, 263, F4, 157) (dual of [263, 17, 158]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4227, 121, F4, 2, 157) (dual of [(121, 2), 15, 158]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4227, 81, F4, 3, 157) (dual of [(81, 3), 16, 158]-NRT-code) | [i] | ||