Information on Result #604404
Linear OA(318, 19, F3, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,3)), using dual of repetition code with length 19
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(318, 19, F3, 17) (dual of [19, 1, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(318, 19, F3, 16) (dual of [19, 1, 17]-code) | [i] | ||
| 3 | Linear OA(318, 19, F3, 15) (dual of [19, 1, 16]-code) | [i] | ||
| 4 | Linear OA(3160, 748, F3, 37) (dual of [748, 588, 38]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(352, 112, F3, 18) (dual of [112, 60, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(358, 161, F3, 18) (dual of [161, 103, 19]-code) | [i] | ||
| 7 | Linear OA(3187, 2207, F3, 37) (dual of [2207, 2020, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(3211, 6581, F3, 37) (dual of [6581, 6370, 38]-code) | [i] | ||
| 9 | Linear OA(3235, 19703, F3, 37) (dual of [19703, 19468, 38]-code) | [i] | ||
| 10 | Linear OA(3233, 240, F3, 86) (dual of [240, 7, 87]-code) | [i] | ||
| 11 | Linear OA(3227, 260, F3, 118) (dual of [260, 33, 119]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OA(3228, 261, F3, 119) (dual of [261, 33, 120]-code) | [i] | ||
| 13 | Linear OA(3238, 271, F3, 124) (dual of [271, 33, 125]-code) | [i] | ||
| 14 | Linear OA(3240, 273, F3, 125) (dual of [273, 33, 126]-code) | [i] | ||