Information on Result #604147
Linear OA(222, 23, F2, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,2)), using dual of repetition code with length 23
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(222, 23, F2, 21) (dual of [23, 1, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(222, 23, F2, 20) (dual of [23, 1, 21]-code) | [i] | ||
| 3 | Linear OA(222, 23, F2, 19) (dual of [23, 1, 20]-code) | [i] | ||
| 4 | Linear OA(222, 23, F2, 18) (dual of [23, 1, 19]-code) | [i] | ||
| 5 | Linear OA(222, 23, F2, 17) (dual of [23, 1, 18]-code) | [i] | ||
| 6 | Linear OA(222, 23, F2, 16) (dual of [23, 1, 17]-code) | [i] | ||
| 7 | Linear OA(2212, 535, F2, 45) (dual of [535, 323, 46]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(2238, 1047, F2, 45) (dual of [1047, 809, 46]-code) | [i] | ||
| 9 | Linear OA(2199, 280, F2, 49) (dual of [280, 81, 50]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(2239, 536, F2, 49) (dual of [536, 297, 50]-code) | [i] | ||