Information on Result #613532
Linear OA(4187, 196, F4, 131) (dual of [196, 9, 132]-code), using an extension Ce(130) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131
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(4196, 205, F4, 132) (dual of [205, 9, 133]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(4197, 206, F4, 133) (dual of [206, 9, 134]-code) | [i] | ||
| 3 | Linear OA(4194, 203, F4, 133) (dual of [203, 9, 134]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(4208, 217, F4, 143) (dual of [217, 9, 144]-code) | [i] | ✔ | |
| 5 | Linear OA(4202, 211, F4, 139) (dual of [211, 9, 140]-code) | [i] | ✔ | |
| 6 | Linear OA(4199, 208, F4, 137) (dual of [208, 9, 138]-code) | [i] | ✔ | |
| 7 | Linear OA(4187, 197, F4, 131) (dual of [197, 10, 132]-code) | [i] | ✔ | |
| 8 | Linear OA(4205, 214, F4, 141) (dual of [214, 9, 142]-code) | [i] | ✔ | |
| 9 | Linear OA(4209, 219, F4, 143) (dual of [219, 10, 144]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(4203, 213, F4, 139) (dual of [213, 10, 140]-code) | [i] | ✔ | |
| 11 | Linear OA(4198, 208, F4, 135) (dual of [208, 10, 136]-code) | [i] | ✔ | |
| 12 | Linear OA(4195, 205, F4, 133) (dual of [205, 10, 134]-code) | [i] | ✔ | |
| 13 | Linear OOA(4187, 98, F4, 2, 131) (dual of [(98, 2), 9, 132]-NRT-code) | [i] | OOA Folding | |