Information on Result #613529
Linear OA(4183, 189, F4, 131) (dual of [189, 6, 132]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,128], and minimum distance d ≥ |{−2,−1,…,128}|+1 = 132 (BCH-bound)
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(457, 63, F4, 43) (dual of [63, 6, 44]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 2 | Linear OA(4185, 192, F4, 131) (dual of [192, 7, 132]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(4201, 208, F4, 143) (dual of [208, 7, 144]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(4194, 201, F4, 137) (dual of [201, 7, 138]-code) | [i] | ✔ | |
| 5 | Linear OA(4191, 198, F4, 135) (dual of [198, 7, 136]-code) | [i] | ✔ | |
| 6 | Linear OA(4202, 209, F4, 143) (dual of [209, 7, 144]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |