Information on Result #610532
Linear OA(4213, 215, F4, 171) (dual of [215, 2, 172]-code), using repeating each code word 43 times based on 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(4213, 215, F4, 170) (dual of [215, 2, 171]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4213, 215, F4, 169) (dual of [215, 2, 170]-code) | [i] | ||
| 3 | Linear OA(4213, 215, F4, 168) (dual of [215, 2, 169]-code) | [i] | ||
| 4 | Linear OA(4213, 215, F4, 167) (dual of [215, 2, 168]-code) | [i] | ||
| 5 | Linear OA(4213, 215, F4, 166) (dual of [215, 2, 167]-code) | [i] | ||
| 6 | Linear OA(4213, 215, F4, 165) (dual of [215, 2, 166]-code) | [i] | ||
| 7 | Linear OA(4213, 215, F4, 164) (dual of [215, 2, 165]-code) | [i] | ||
| 8 | Linear OA(4212, 214, F4, 170) (dual of [214, 2, 171]-code) | [i] | Truncation | |
| 9 | Linear OA(4211, 213, F4, 169) (dual of [213, 2, 170]-code) | [i] | ||
| 10 | Linear OA(4210, 212, F4, 168) (dual of [212, 2, 169]-code) | [i] | ||
| 11 | Linear OA(4209, 211, F4, 167) (dual of [211, 2, 168]-code) | [i] | ||
| 12 | Linear OA(4207, 209, F4, 165) (dual of [209, 2, 166]-code) | [i] | ||
| 13 | Linear OA(4206, 208, F4, 164) (dual of [208, 2, 165]-code) | [i] | ||
| 14 | Linear OA(4205, 207, F4, 163) (dual of [207, 2, 164]-code) | [i] | ||
| 15 | Linear OA(4204, 206, F4, 162) (dual of [206, 2, 163]-code) | [i] | ||
| 16 | Linear OA(4202, 204, F4, 160) (dual of [204, 2, 161]-code) | [i] | ||
| 17 | Linear OA(4201, 203, F4, 159) (dual of [203, 2, 160]-code) | [i] | ||
| 18 | Linear OA(4200, 202, F4, 158) (dual of [202, 2, 159]-code) | [i] | ||
| 19 | Linear OA(4199, 201, F4, 157) (dual of [201, 2, 158]-code) | [i] | ||
| 20 | Linear OA(4197, 199, F4, 155) (dual of [199, 2, 156]-code) | [i] | ||
| 21 | Linear OA(4196, 198, F4, 154) (dual of [198, 2, 155]-code) | [i] | ||
| 22 | Linear OA(4195, 197, F4, 153) (dual of [197, 2, 154]-code) | [i] | ||
| 23 | Linear OA(4194, 196, F4, 152) (dual of [196, 2, 153]-code) | [i] | ||
| 24 | Linear OA(4192, 194, F4, 150) (dual of [194, 2, 151]-code) | [i] | ||
| 25 | Linear OA(4191, 193, F4, 149) (dual of [193, 2, 150]-code) | [i] | ||
| 26 | Linear OA(4190, 192, F4, 148) (dual of [192, 2, 149]-code) | [i] | ||
| 27 | Linear OA(4189, 191, F4, 147) (dual of [191, 2, 148]-code) | [i] | ||
| 28 | Linear OA(4187, 189, F4, 145) (dual of [189, 2, 146]-code) | [i] | ||
| 29 | Linear OA(4186, 188, F4, 144) (dual of [188, 2, 145]-code) | [i] | ||
| 30 | Linear OA(4185, 187, F4, 143) (dual of [187, 2, 144]-code) | [i] | ||
| 31 | Linear OA(4184, 186, F4, 142) (dual of [186, 2, 143]-code) | [i] | ||
| 32 | Linear OA(4182, 184, F4, 140) (dual of [184, 2, 141]-code) | [i] | ||