Information on Result #604408
Linear OA(322, 23, F3, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,3)), 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(322, 23, F3, 21) (dual of [23, 1, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(322, 23, F3, 20) (dual of [23, 1, 21]-code) | [i] | ||
| 3 | Linear OA(322, 23, F3, 19) (dual of [23, 1, 20]-code) | [i] | ||
| 4 | Linear OA(322, 23, F3, 18) (dual of [23, 1, 19]-code) | [i] | ||
| 5 | Linear OA(3199, 751, F3, 45) (dual of [751, 552, 46]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(3194, 752, F3, 44) (dual of [752, 558, 45]-code) | [i] | ||
| 7 | Linear OA(3226, 2210, F3, 44) (dual of [2210, 1984, 45]-code) | [i] | ||
| 8 | Linear OA(365, 141, F3, 22) (dual of [141, 76, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(366, 148, F3, 22) (dual of [148, 82, 23]-code) | [i] | ||
| 10 | Linear OA(368, 163, F3, 22) (dual of [163, 95, 23]-code) | [i] | ||
| 11 | Linear OA(369, 171, F3, 22) (dual of [171, 102, 23]-code) | [i] | ||
| 12 | Linear OA(381, 311, F3, 22) (dual of [311, 230, 23]-code) | [i] | ||
| 13 | Linear OA(3233, 2211, F3, 45) (dual of [2211, 1978, 46]-code) | [i] | Construction X with Cyclic Codes | |
| 14 | Linear OA(3215, 388, F3, 51) (dual of [388, 173, 52]-code) | [i] | ||