Information on Result #681959
Linear OA(4188, 189, F4, 188) (dual of [189, 1, 189]-code or 189-arc in PG(187,4)), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,188], and designed minimum distance d ≥ |I|+1 = 189
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(4188, 189, F4, 187) (dual of [189, 1, 188]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4188, 189, F4, 186) (dual of [189, 1, 187]-code) | [i] | ||
| 3 | Linear OA(4188, 189, F4, 185) (dual of [189, 1, 186]-code) | [i] | ||
| 4 | Linear OA(4188, 189, F4, 184) (dual of [189, 1, 185]-code) | [i] | ||
| 5 | Linear OA(4188, 189, F4, 183) (dual of [189, 1, 184]-code) | [i] | ||
| 6 | Linear OA(4188, 189, F4, 182) (dual of [189, 1, 183]-code) | [i] | ||
| 7 | Linear OA(4188, 189, F4, 181) (dual of [189, 1, 182]-code) | [i] | ||
| 8 | Linear OA(4188, 189, F4, 180) (dual of [189, 1, 181]-code) | [i] | ||
| 9 | Linear OA(4188, 189, F4, 179) (dual of [189, 1, 180]-code) | [i] | ||
| 10 | Linear OA(4188, 189, F4, 178) (dual of [189, 1, 179]-code) | [i] | ||
| 11 | Linear OA(4188, 189, F4, 177) (dual of [189, 1, 178]-code) | [i] | ||
| 12 | Linear OA(4188, 189, F4, 176) (dual of [189, 1, 177]-code) | [i] | ||
| 13 | Linear OA(4188, 189, F4, 175) (dual of [189, 1, 176]-code) | [i] | ||
| 14 | Linear OA(4188, 189, F4, 174) (dual of [189, 1, 175]-code) | [i] | ||
| 15 | Linear OA(4188, 189, F4, 173) (dual of [189, 1, 174]-code) | [i] | ||
| 16 | Linear OA(4188, 189, F4, 172) (dual of [189, 1, 173]-code) | [i] | ||
| 17 | Linear OA(4188, 189, F4, 171) (dual of [189, 1, 172]-code) | [i] | ||
| 18 | Linear OA(4188, 189, F4, 170) (dual of [189, 1, 171]-code) | [i] | ||
| 19 | Linear OA(4188, 189, F4, 169) (dual of [189, 1, 170]-code) | [i] | ||
| 20 | Linear OA(4188, 189, F4, 168) (dual of [189, 1, 169]-code) | [i] | ||
| 21 | Linear OA(4188, 189, F4, 167) (dual of [189, 1, 168]-code) | [i] | ||
| 22 | Linear OA(4188, 189, F4, 166) (dual of [189, 1, 167]-code) | [i] | ||
| 23 | Linear OA(4188, 189, F4, 165) (dual of [189, 1, 166]-code) | [i] | ||
| 24 | Linear OA(4188, 189, F4, 164) (dual of [189, 1, 165]-code) | [i] | ||
| 25 | Linear OA(4188, 189, F4, 163) (dual of [189, 1, 164]-code) | [i] | ||
| 26 | Linear OA(4188, 189, F4, 162) (dual of [189, 1, 163]-code) | [i] | ||
| 27 | Linear OA(4188, 189, F4, 161) (dual of [189, 1, 162]-code) | [i] | ||
| 28 | Linear OA(4188, 189, F4, 160) (dual of [189, 1, 161]-code) | [i] | ||
| 29 | Linear OA(4188, 189, F4, 159) (dual of [189, 1, 160]-code) | [i] | ||
| 30 | Linear OA(4188, 189, F4, 158) (dual of [189, 1, 159]-code) | [i] | ||
| 31 | Linear OA(4188, 189, F4, 157) (dual of [189, 1, 158]-code) | [i] | ||
| 32 | Linear OA(4188, 189, F4, 156) (dual of [189, 1, 157]-code) | [i] | ||
| 33 | Linear OA(4188, 189, F4, 155) (dual of [189, 1, 156]-code) | [i] | ||
| 34 | Linear OA(4188, 189, F4, 154) (dual of [189, 1, 155]-code) | [i] | ||
| 35 | Linear OA(4188, 189, F4, 153) (dual of [189, 1, 154]-code) | [i] | ||
| 36 | Linear OA(4188, 189, F4, 152) (dual of [189, 1, 153]-code) | [i] | ||
| 37 | Linear OA(462, 63, F4, 62) (dual of [63, 1, 63]-code or 63-arc in PG(61,4)) | [i] | ✔ | Contraction (with Narrow-Sense BCH-Code) |