Information on Result #604141
Linear OA(216, 17, F2, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,2)), using dual of repetition code with length 17
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(216, 17, F2, 15) (dual of [17, 1, 16]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(216, 17, F2, 14) (dual of [17, 1, 15]-code) | [i] | ||
| 3 | Linear OA(216, 17, F2, 13) (dual of [17, 1, 14]-code) | [i] | ||
| 4 | Linear OA(216, 17, F2, 12) (dual of [17, 1, 13]-code) | [i] | ||
| 5 | Linear OA(2121, 136, F2, 33) (dual of [136, 15, 34]-code) | [i] | Construction X with Cyclic Codes | |
| 6 | Linear OA(2193, 2066, F2, 33) (dual of [2066, 1873, 34]-code) | [i] | ||
| 7 | Linear OA(2209, 4114, F2, 33) (dual of [4114, 3905, 34]-code) | [i] | ||
| 8 | Linear OA(2225, 8210, F2, 33) (dual of [8210, 7985, 34]-code) | [i] | ||
| 9 | Linear OA(2241, 16402, F2, 33) (dual of [16402, 16161, 34]-code) | [i] | ||
| 10 | Linear OA(2257, 32786, F2, 33) (dual of [32786, 32529, 34]-code) | [i] | ||
| 11 | Linear OA(2216, 233, F2, 94) (dual of [233, 17, 95]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OA(2225, 273, F2, 84) (dual of [273, 48, 85]-code) | [i] | ||