Information on Result #604403
Linear OA(317, 18, F3, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,3)), using dual of repetition code with length 18
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(317, 18, F3, 16) (dual of [18, 1, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(317, 18, F3, 15) (dual of [18, 1, 16]-code) | [i] | ||
| 3 | Linear OA(317, 18, F3, 14) (dual of [18, 1, 15]-code) | [i] | ||
| 4 | Linear OA(3153, 747, F3, 35) (dual of [747, 594, 36]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(3179, 2205, F3, 35) (dual of [2205, 2026, 36]-code) | [i] | ||
| 6 | Linear OA(3202, 6579, F3, 35) (dual of [6579, 6377, 36]-code) | [i] | ||
| 7 | Linear OA(3225, 19701, F3, 35) (dual of [19701, 19476, 36]-code) | [i] | ||
| 8 | Linear OA(3248, 59067, F3, 35) (dual of [59067, 58819, 36]-code) | [i] | ||
| 9 | Linear OA(3118, 261, F3, 34) (dual of [261, 143, 35]-code) | [i] | ||
| 10 | Linear OA(3147, 747, F3, 34) (dual of [747, 600, 35]-code) | [i] | ||
| 11 | Linear OA(3172, 2205, F3, 34) (dual of [2205, 2033, 35]-code) | [i] | ||
| 12 | Linear OA(3194, 6579, F3, 34) (dual of [6579, 6385, 35]-code) | [i] | ||
| 13 | Linear OA(3216, 19701, F3, 34) (dual of [19701, 19485, 35]-code) | [i] | ||
| 14 | Linear OA(3238, 59067, F3, 34) (dual of [59067, 58829, 35]-code) | [i] | ||
| 15 | Linear OA(3138, 262, F3, 37) (dual of [262, 124, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(3150, 383, F3, 37) (dual of [383, 233, 38]-code) | [i] | ||
| 17 | Linear OA(398, 6580, F3, 17) (dual of [6580, 6482, 18]-code) | [i] | Construction X4 with Cyclic Codes | |
| 18 | Linear OA(382, 6580, F3, 15) (dual of [6580, 6498, 16]-code) | [i] | ||
| 19 | Linear OA(350, 6580, F3, 9) (dual of [6580, 6530, 10]-code) | [i] | ||
| 20 | Linear OA(366, 6579, F3, 12) (dual of [6579, 6513, 13]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 21 | Linear OA(334, 6579, F3, 6) (dual of [6579, 6545, 7]-code) | [i] | ||
| 22 | Linear OA(3224, 257, F3, 116) (dual of [257, 33, 117]-code) | [i] | Construction X with Varšamov Bound | |
| 23 | Linear OA(3225, 258, F3, 117) (dual of [258, 33, 118]-code) | [i] | ||
| 24 | Linear OA(3236, 269, F3, 123) (dual of [269, 33, 124]-code) | [i] | ||