Information on Result #613525
Linear OA(4182, 189, F4, 128) (dual of [189, 7, 129]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,125], and minimum distance d ≥ |{−2,−1,…,125}|+1 = 129 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(456, 63, F4, 42) (dual of [63, 7, 43]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 2 | Linear OA(4184, 192, F4, 128) (dual of [192, 8, 129]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(4204, 211, F4, 143) (dual of [211, 7, 144]-code) | [i] | ✔ | |
| 4 | Linear OA(4206, 214, F4, 143) (dual of [214, 8, 144]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4202, 209, F4, 143) (dual of [209, 7, 144]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 6 | Linear OOA(4182, 63, F4, 3, 128) (dual of [(63, 3), 7, 129]-NRT-code) | [i] | OOA Folding | |