Information on Result #681897
Linear OA(4186, 189, F4, 143) (dual of [189, 3, 144]-code), using 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)
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(4186, 189, F4, 142) (dual of [189, 3, 143]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4187, 190, F4, 143) (dual of [190, 3, 144]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4185, 188, F4, 142) (dual of [188, 3, 143]-code) | [i] | Truncation | |
| 4 | Linear OA(4184, 187, F4, 141) (dual of [187, 3, 142]-code) | [i] | ||
| 5 | Linear OA(4183, 186, F4, 140) (dual of [186, 3, 141]-code) | [i] | ||
| 6 | Linear OA(4182, 185, F4, 139) (dual of [185, 3, 140]-code) | [i] | ||
| 7 | Linear OA(4180, 183, F4, 137) (dual of [183, 3, 138]-code) | [i] | ||
| 8 | Linear OA(4179, 182, F4, 136) (dual of [182, 3, 137]-code) | [i] | ||
| 9 | Linear OA(460, 63, F4, 47) (dual of [63, 3, 48]-code) | [i] | ✔ | Contraction (with Expurgated Narrow-Sense BCH-Code) |
| 10 | Linear OA(4204, 211, F4, 143) (dual of [211, 7, 144]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(4206, 214, F4, 143) (dual of [214, 8, 144]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(4201, 208, F4, 143) (dual of [208, 7, 144]-code) | [i] | ✔ | |
| 13 | Linear OA(4194, 201, F4, 137) (dual of [201, 7, 138]-code) | [i] | ✔ | |
| 14 | Linear OA(4191, 198, F4, 135) (dual of [198, 7, 136]-code) | [i] | ✔ | |
| 15 | Linear OA(4202, 209, F4, 143) (dual of [209, 7, 144]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 16 | Linear OOA(4186, 63, F4, 3, 143) (dual of [(63, 3), 3, 144]-NRT-code) | [i] | OOA Folding | |