Information on Result #604405
Linear OA(319, 20, F3, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,3)), using dual of repetition code with length 20
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(319, 20, F3, 18) (dual of [20, 1, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(319, 20, F3, 17) (dual of [20, 1, 18]-code) | [i] | ||
| 3 | Linear OA(319, 20, F3, 16) (dual of [20, 1, 17]-code) | [i] | ||
| 4 | Linear OA(319, 20, F3, 15) (dual of [20, 1, 16]-code) | [i] | ||
| 5 | Linear OA(3172, 748, F3, 39) (dual of [748, 576, 40]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(3167, 749, F3, 38) (dual of [749, 582, 39]-code) | [i] | ||
| 7 | Linear OA(3195, 2207, F3, 38) (dual of [2207, 2012, 39]-code) | [i] | ||
| 8 | Linear OA(3220, 6581, F3, 38) (dual of [6581, 6361, 39]-code) | [i] | ||
| 9 | Linear OA(3245, 19703, F3, 38) (dual of [19703, 19458, 39]-code) | [i] | ||
| 10 | Linear OA(353, 105, F3, 19) (dual of [105, 52, 20]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(3150, 264, F3, 39) (dual of [264, 114, 40]-code) | [i] | Construction X with Cyclic Codes | |
| 12 | Linear OA(3176, 750, F3, 39) (dual of [750, 574, 40]-code) | [i] | ||
| 13 | Linear OA(3202, 2208, F3, 39) (dual of [2208, 2006, 40]-code) | [i] | ||
| 14 | Linear OA(3228, 6582, F3, 39) (dual of [6582, 6354, 40]-code) | [i] | ||
| 15 | Linear OA(3140, 166, F3, 45) (dual of [166, 26, 46]-code) | [i] | ||
| 16 | Linear OA(3110, 19704, F3, 17) (dual of [19704, 19594, 18]-code) | [i] | Construction X4 with Cyclic Codes | |
| 17 | Linear OA(392, 19704, F3, 15) (dual of [19704, 19612, 16]-code) | [i] | ||
| 18 | Linear OA(356, 19704, F3, 9) (dual of [19704, 19648, 10]-code) | [i] | ||
| 19 | Linear OA(3110, 19703, F3, 18) (dual of [19703, 19593, 19]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 20 | Linear OA(374, 19703, F3, 12) (dual of [19703, 19629, 13]-code) | [i] | ||
| 21 | Linear OA(338, 19703, F3, 6) (dual of [19703, 19665, 7]-code) | [i] | ||
| 22 | Linear OA(3230, 263, F3, 120) (dual of [263, 33, 121]-code) | [i] | Construction X with Varšamov Bound | |
| 23 | Linear OA(3231, 264, F3, 121) (dual of [264, 33, 122]-code) | [i] | ||