Information on Result #610018
Linear OA(222, 24, F2, 15) (dual of [24, 2, 16]-code), using repeating each code word 8 times based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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, 24, F2, 14) (dual of [24, 2, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(221, 23, F2, 14) (dual of [23, 2, 15]-code) | [i] | Truncation | |
| 3 | Linear OA(220, 22, F2, 13) (dual of [22, 2, 14]-code) | [i] | ||
| 4 | Linear OA(2257, 280, F2, 111) (dual of [280, 23, 112]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(2128, 151, F2, 47) (dual of [151, 23, 48]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 6 | Linear OA(2127, 151, F2, 46) (dual of [151, 24, 47]-code) | [i] | ||
| 7 | Linear OA(2257, 279, F2, 111) (dual of [279, 22, 112]-code) | [i] | ||
| 8 | Linear OA(2177, 200, F2, 61) (dual of [200, 23, 62]-code) | [i] | Construction XX with a Chain of De Boer–Brouwer Codes | |
| 9 | Linear OA(2168, 191, F2, 59) (dual of [191, 23, 60]-code) | [i] | ||
| 10 | Linear OA(2165, 188, F2, 57) (dual of [188, 23, 58]-code) | [i] | ||
| 11 | Linear OA(2160, 183, F2, 55) (dual of [183, 23, 56]-code) | [i] | ||
| 12 | Linear OA(2155, 178, F2, 53) (dual of [178, 23, 54]-code) | [i] | ||
| 13 | Linear OA(2150, 173, F2, 51) (dual of [173, 23, 52]-code) | [i] | ||
| 14 | Linear OA(2145, 168, F2, 49) (dual of [168, 23, 50]-code) | [i] | ||
| 15 | Linear OA(2149, 172, F2, 55) (dual of [172, 23, 56]-code) | [i] | ||
| 16 | Linear OA(2146, 169, F2, 53) (dual of [169, 23, 54]-code) | [i] | ||
| 17 | Linear OA(2142, 165, F2, 51) (dual of [165, 23, 52]-code) | [i] | ||
| 18 | Linear OA(2138, 161, F2, 49) (dual of [161, 23, 50]-code) | [i] | ||
| 19 | Linear OA(2167, 191, F2, 58) (dual of [191, 24, 59]-code) | [i] | ||
| 20 | Linear OA(2164, 188, F2, 56) (dual of [188, 24, 57]-code) | [i] | ||
| 21 | Linear OA(2148, 172, F2, 54) (dual of [172, 24, 55]-code) | [i] | ||
| 22 | Linear OA(2145, 169, F2, 52) (dual of [169, 24, 53]-code) | [i] | ||
| 23 | Linear OA(2141, 165, F2, 50) (dual of [165, 24, 51]-code) | [i] | ||
| 24 | Linear OA(2137, 161, F2, 48) (dual of [161, 24, 49]-code) | [i] | ||
| 25 | Linear OA(2230, 279, F2, 82) (dual of [279, 49, 83]-code) | [i] | Construction X with Varšamov Bound | |
| 26 | Linear OA(2244, 292, F2, 88) (dual of [292, 48, 89]-code) | [i] | ||
| 27 | Linear OA(2245, 294, F2, 88) (dual of [294, 49, 89]-code) | [i] | ||
| 28 | Linear OA(2250, 299, F2, 90) (dual of [299, 49, 91]-code) | [i] | ||
| 29 | Linear OOA(222, 12, F2, 2, 15) (dual of [(12, 2), 2, 16]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(222, 8, F2, 3, 15) (dual of [(8, 3), 2, 16]-NRT-code) | [i] | ||