Information on Result #604142
Linear OA(217, 18, F2, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,2)), 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(217, 18, F2, 16) (dual of [18, 1, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(217, 18, F2, 15) (dual of [18, 1, 16]-code) | [i] | ||
| 3 | Linear OA(217, 18, F2, 14) (dual of [18, 1, 15]-code) | [i] | ||
| 4 | Linear OA(217, 18, F2, 13) (dual of [18, 1, 14]-code) | [i] | ||
| 5 | Linear OA(217, 18, F2, 12) (dual of [18, 1, 13]-code) | [i] | ||
| 6 | Linear OA(2140, 272, F2, 35) (dual of [272, 132, 36]-code) | [i] | (u, u+v)-Construction | |
| 7 | Linear OA(2162, 530, F2, 35) (dual of [530, 368, 36]-code) | [i] | ||
| 8 | Linear OA(2183, 1042, F2, 35) (dual of [1042, 859, 36]-code) | [i] | ||
| 9 | Linear OA(2122, 32785, F2, 16) (dual of [32785, 32663, 17]-code) | [i] | Construction X4 with Cyclic Codes | |
| 10 | Linear OA(2130, 65554, F2, 17) (dual of [65554, 65424, 18]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(2114, 65554, F2, 15) (dual of [65554, 65440, 16]-code) | [i] | ||
| 12 | Linear OA(298, 65554, F2, 13) (dual of [65554, 65456, 14]-code) | [i] | ||
| 13 | Linear OA(282, 65554, F2, 11) (dual of [65554, 65472, 12]-code) | [i] | ||
| 14 | Linear OA(266, 65554, F2, 9) (dual of [65554, 65488, 10]-code) | [i] | ||
| 15 | Linear OA(250, 65554, F2, 7) (dual of [65554, 65504, 8]-code) | [i] | ||
| 16 | Linear OA(234, 65554, F2, 5) (dual of [65554, 65520, 6]-code) | [i] | ||
| 17 | Linear OA(2229, 277, F2, 86) (dual of [277, 48, 87]-code) | [i] | Construction X with Varšamov Bound | |