Information on Result #2239928
Linear OA(4237, 253, F4, 167) (dual of [253, 16, 168]-code), using 4 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(4236, 245, F4, 167) (dual of [245, 9, 168]-code) | [i] | Construction Y1 | |
| 2 | Linear OA(4260, 277, F4, 167) (dual of [277, 17, 168]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4237, 126, F4, 2, 167) (dual of [(126, 2), 15, 168]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4237, 84, F4, 3, 167) (dual of [(84, 3), 15, 168]-NRT-code) | [i] | ||