Information on Result #604659
Linear OA(422, 23, F4, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,4)), using dual of repetition code with length 23
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(422, 23, F4, 21) (dual of [23, 1, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(422, 23, F4, 20) (dual of [23, 1, 21]-code) | [i] | ||
| 3 | Linear OA(422, 23, F4, 19) (dual of [23, 1, 20]-code) | [i] | ||
| 4 | Linear OA(4221, 4119, F4, 45) (dual of [4119, 3898, 46]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(4254, 16407, F4, 45) (dual of [16407, 16153, 46]-code) | [i] | ||
| 6 | Linear OA(455, 120, F4, 22) (dual of [120, 65, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(458, 144, F4, 22) (dual of [144, 86, 23]-code) | [i] | ||
| 8 | Linear OA(459, 153, F4, 22) (dual of [153, 94, 23]-code) | [i] | ||
| 9 | Linear OA(469, 286, F4, 22) (dual of [286, 217, 23]-code) | [i] | ||
| 10 | Linear OA(494, 1444, F4, 22) (dual of [1444, 1350, 23]-code) | [i] | ||
| 11 | Linear OA(4114, 16407, F4, 20) (dual of [16407, 16293, 21]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 12 | Linear OA(4260, 277, F4, 167) (dual of [277, 17, 168]-code) | [i] | Construction X with Varšamov Bound | |