Information on Result #635168
Linear OA(4199, 205, F4, 147) (dual of [205, 6, 148]-code), using concatenation of two codes based on
- linear OA(1638, 41, F16, 36) (dual of [41, 3, 37]-code), using
- 11 times truncation [i] based on linear OA(1649, 52, F16, 47) (dual of [52, 3, 48]-code), using
- Denniston code D(2,16) [i]
- 11 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(4199, 205, F4, 146) (dual of [205, 6, 147]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4199, 205, F4, 145) (dual of [205, 6, 146]-code) | [i] | ||
| 3 | Linear OA(4199, 205, F4, 144) (dual of [205, 6, 145]-code) | [i] | ||
| 4 | Linear OA(4198, 204, F4, 146) (dual of [204, 6, 147]-code) | [i] | Truncation | |
| 5 | Linear OA(4197, 203, F4, 145) (dual of [203, 6, 146]-code) | [i] | ||
| 6 | Linear OA(4196, 202, F4, 144) (dual of [202, 6, 145]-code) | [i] | ||
| 7 | Linear OA(4195, 201, F4, 143) (dual of [201, 6, 144]-code) | [i] | ||
| 8 | Linear OA(4193, 199, F4, 141) (dual of [199, 6, 142]-code) | [i] | ||
| 9 | Linear OA(4191, 197, F4, 139) (dual of [197, 6, 140]-code) | [i] | ||
| 10 | Linear OA(4190, 196, F4, 138) (dual of [196, 6, 139]-code) | [i] | ||
| 11 | Linear OA(4188, 194, F4, 136) (dual of [194, 6, 137]-code) | [i] | ||
| 12 | Linear OA(4187, 193, F4, 135) (dual of [193, 6, 136]-code) | [i] | ||
| 13 | Linear OA(4185, 191, F4, 133) (dual of [191, 6, 134]-code) | [i] | ||