Information on Result #604136
Linear OA(211, 12, F2, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,2)), using dual of repetition code with length 12
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(211, 12, F2, 10) (dual of [12, 1, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(211, 12, F2, 9) (dual of [12, 1, 10]-code) | [i] | ||
| 3 | Linear OA(211, 12, F2, 8) (dual of [12, 1, 9]-code) | [i] | ||
| 4 | Linear OA(296, 268, F2, 23) (dual of [268, 172, 24]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(247, 523, F2, 10) (dual of [523, 476, 11]-code) | [i] | Construction X4 with Cyclic Codes | |
| 6 | Linear OA(2110, 140, F2, 43) (dual of [140, 30, 44]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(2123, 153, F2, 47) (dual of [153, 30, 48]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(2119, 149, F2, 45) (dual of [149, 30, 46]-code) | [i] | ||
| 9 | Linear OA(252, 1036, F2, 11) (dual of [1036, 984, 12]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(242, 1036, F2, 9) (dual of [1036, 994, 10]-code) | [i] | ||
| 11 | Linear OA(232, 1036, F2, 7) (dual of [1036, 1004, 8]-code) | [i] | ||
| 12 | Linear OA(222, 1036, F2, 5) (dual of [1036, 1014, 6]-code) | [i] | ||
| 13 | Linear OA(2212, 260, F2, 76) (dual of [260, 48, 77]-code) | [i] | Construction X with Varšamov Bound | |