Information on Result #2204299
Linear OA(4186, 189, F4, 142) (dual of [189, 3, 143]-code), using strength reduction based on linear OA(4186, 189, F4, 143) (dual of [189, 3, 144]-code), using
- repeating each code word 9 times [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,140], and minimum distance d ≥ |{−7,−2,3,…,−53}|+1 = 144 (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(4185, 188, F4, 141) (dual of [188, 3, 142]-code) | [i] | Truncation | |
| 2 | Linear OA(4184, 187, F4, 140) (dual of [187, 3, 141]-code) | [i] | ||
| 3 | Linear OOA(4186, 63, F4, 3, 142) (dual of [(63, 3), 3, 143]-NRT-code) | [i] | OOA Folding | |