Information on Result #635227
Linear OA(4229, 235, F4, 171) (dual of [235, 6, 172]-code), using concatenation of two codes based on
- linear OA(1644, 47, F16, 42) (dual of [47, 3, 43]-code), using
- 5 times truncation [i] based on linear OA(1649, 52, F16, 47) (dual of [52, 3, 48]-code), using
- Denniston code D(2,16) [i]
- 5 times truncation [i] based on linear OA(1649, 52, F16, 47) (dual of [52, 3, 48]-code), using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [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(4229, 235, F4, 170) (dual of [235, 6, 171]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4229, 235, F4, 169) (dual of [235, 6, 170]-code) | [i] | ||
| 3 | Linear OA(4229, 235, F4, 168) (dual of [235, 6, 169]-code) | [i] | ||
| 4 | Linear OA(4228, 234, F4, 170) (dual of [234, 6, 171]-code) | [i] | Truncation | |
| 5 | Linear OA(4227, 233, F4, 169) (dual of [233, 6, 170]-code) | [i] | ||
| 6 | Linear OA(4226, 232, F4, 168) (dual of [232, 6, 169]-code) | [i] | ||
| 7 | Linear OA(4225, 231, F4, 167) (dual of [231, 6, 168]-code) | [i] | ||
| 8 | Linear OA(4223, 229, F4, 165) (dual of [229, 6, 166]-code) | [i] | ||
| 9 | Linear OA(4222, 228, F4, 164) (dual of [228, 6, 165]-code) | [i] | ||
| 10 | Linear OA(4221, 227, F4, 163) (dual of [227, 6, 164]-code) | [i] | ||
| 11 | Linear OA(4220, 226, F4, 162) (dual of [226, 6, 163]-code) | [i] | ||
| 12 | Linear OA(4218, 224, F4, 160) (dual of [224, 6, 161]-code) | [i] | ||
| 13 | Linear OA(4217, 223, F4, 159) (dual of [223, 6, 160]-code) | [i] | ||
| 14 | Linear OA(4216, 222, F4, 158) (dual of [222, 6, 159]-code) | [i] | ||
| 15 | Linear OA(4215, 221, F4, 157) (dual of [221, 6, 158]-code) | [i] | ||
| 16 | Linear OA(4213, 219, F4, 155) (dual of [219, 6, 156]-code) | [i] | ||
| 17 | Linear OA(4212, 218, F4, 154) (dual of [218, 6, 155]-code) | [i] | ||
| 18 | Linear OA(4211, 217, F4, 153) (dual of [217, 6, 154]-code) | [i] | ||
| 19 | Linear OA(4210, 216, F4, 152) (dual of [216, 6, 153]-code) | [i] | ||
| 20 | Linear OA(4208, 214, F4, 150) (dual of [214, 6, 151]-code) | [i] | ||
| 21 | Linear OA(4207, 213, F4, 149) (dual of [213, 6, 150]-code) | [i] | ||
| 22 | Linear OA(4206, 212, F4, 148) (dual of [212, 6, 149]-code) | [i] | ||
| 23 | Linear OA(4205, 211, F4, 147) (dual of [211, 6, 148]-code) | [i] | ||
| 24 | Linear OOA(4229, 78, F4, 3, 171) (dual of [(78, 3), 5, 172]-NRT-code) | [i] | OOA Folding | |