Information on Result #635233
Linear OA(4234, 240, F4, 175) (dual of [240, 6, 176]-code), using concatenation of two codes based on
- linear OA(1645, 48, F16, 43) (dual of [48, 3, 44]-code), using
- 4 times truncation [i] based on linear OA(1649, 52, F16, 47) (dual of [52, 3, 48]-code), using
- Denniston code D(2,16) [i]
- 4 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(4234, 240, F4, 174) (dual of [240, 6, 175]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4234, 240, F4, 173) (dual of [240, 6, 174]-code) | [i] | ||
| 3 | Linear OA(4233, 239, F4, 174) (dual of [239, 6, 175]-code) | [i] | Truncation | |
| 4 | Linear OA(4232, 238, F4, 173) (dual of [238, 6, 174]-code) | [i] | ||
| 5 | Linear OA(4231, 237, F4, 172) (dual of [237, 6, 173]-code) | [i] | ||
| 6 | Linear OA(4230, 236, F4, 171) (dual of [236, 6, 172]-code) | [i] | ||
| 7 | Linear OA(4228, 234, F4, 169) (dual of [234, 6, 170]-code) | [i] | ||
| 8 | Linear OA(4227, 233, F4, 168) (dual of [233, 6, 169]-code) | [i] | ||
| 9 | Linear OA(4226, 232, F4, 167) (dual of [232, 6, 168]-code) | [i] | ||
| 10 | Linear OA(4225, 231, F4, 166) (dual of [231, 6, 167]-code) | [i] | ||
| 11 | Linear OA(4223, 229, F4, 164) (dual of [229, 6, 165]-code) | [i] | ||
| 12 | Linear OA(4222, 228, F4, 163) (dual of [228, 6, 164]-code) | [i] | ||
| 13 | Linear OA(4221, 227, F4, 162) (dual of [227, 6, 163]-code) | [i] | ||
| 14 | Linear OA(4220, 226, F4, 161) (dual of [226, 6, 162]-code) | [i] | ||
| 15 | Linear OA(4218, 224, F4, 159) (dual of [224, 6, 160]-code) | [i] | ||
| 16 | Linear OA(4217, 223, F4, 158) (dual of [223, 6, 159]-code) | [i] | ||
| 17 | Linear OA(4216, 222, F4, 157) (dual of [222, 6, 158]-code) | [i] | ||
| 18 | Linear OA(4215, 221, F4, 156) (dual of [221, 6, 157]-code) | [i] | ||
| 19 | Linear OOA(4234, 120, F4, 2, 175) (dual of [(120, 2), 6, 176]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(4234, 80, F4, 3, 175) (dual of [(80, 3), 6, 176]-NRT-code) | [i] | ||