Information on Result #622365
Linear OA(1612, 33, F16, 10) (dual of [33, 21, 11]-code), using extended algebraic-geometric code AGe(F,22P) based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1654, 547, F16, 21) (dual of [547, 493, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1670, 4129, F16, 21) (dual of [4129, 4059, 22]-code) | [i] | ||
| 3 | Linear OA(1694, 131107, F16, 21) (dual of [131107, 131013, 22]-code) | [i] | ||
| 4 | Linear OA(16108, 1048609, F16, 21) (dual of [1048609, 1048501, 22]-code) | [i] | ||
| 5 | Linear OA(1652, 547, F16, 20) (dual of [547, 495, 21]-code) | [i] | ||
| 6 | Linear OA(1667, 4129, F16, 20) (dual of [4129, 4062, 21]-code) | [i] | ||
| 7 | Linear OA(1690, 131105, F16, 20) (dual of [131105, 131015, 21]-code) | [i] | ||
| 8 | Linear OA(16103, 1048609, F16, 20) (dual of [1048609, 1048506, 21]-code) | [i] | ||
| 9 | Linear OA(1677, 98, F16, 49) (dual of [98, 21, 50]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(1677, 97, F16, 50) (dual of [97, 20, 51]-code) | [i] | ||
| 11 | Linear OA(1677, 96, F16, 51) (dual of [96, 19, 52]-code) | [i] | ||
| 12 | Linear OA(1677, 95, F16, 52) (dual of [95, 18, 53]-code) | [i] | ||
| 13 | Linear OA(1677, 94, F16, 53) (dual of [94, 17, 54]-code) | [i] | ||
| 14 | Linear OA(1677, 93, F16, 54) (dual of [93, 16, 55]-code) | [i] | ||
| 15 | Linear OA(1677, 92, F16, 55) (dual of [92, 15, 56]-code) | [i] | ||
| 16 | Linear OA(1677, 91, F16, 56) (dual of [91, 14, 57]-code) | [i] | ||
| 17 | Linear OOA(2110, 93, F2, 2, 32) (dual of [(93, 2), 76, 33]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(2108, 90, F2, 2, 32) (dual of [(90, 2), 72, 33]-NRT-code) | [i] | ||
| 19 | Linear OOA(2106, 87, F2, 2, 32) (dual of [(87, 2), 68, 33]-NRT-code) | [i] | ||
| 20 | Linear OOA(2104, 84, F2, 2, 32) (dual of [(84, 2), 64, 33]-NRT-code) | [i] | ||
| 21 | Linear OOA(2102, 81, F2, 2, 32) (dual of [(81, 2), 60, 33]-NRT-code) | [i] | ||
| 22 | Linear OOA(2100, 78, F2, 2, 32) (dual of [(78, 2), 56, 33]-NRT-code) | [i] | ||
| 23 | Linear OA(16102, 284, F16, 53) (dual of [284, 182, 54]-code) | [i] | Construction XX with Cyclic Codes | |
| 24 | Linear OA(16104, 284, F16, 54) (dual of [284, 180, 55]-code) | [i] | ||
| 25 | Linear OA(16106, 284, F16, 55) (dual of [284, 178, 56]-code) | [i] | ||
| 26 | Linear OA(16108, 284, F16, 56) (dual of [284, 176, 57]-code) | [i] | ||
| 27 | Linear OA(16110, 284, F16, 57) (dual of [284, 174, 58]-code) | [i] | ||
| 28 | Linear OA(16112, 284, F16, 58) (dual of [284, 172, 59]-code) | [i] | ||
| 29 | Linear OA(16124, 282, F16, 68) (dual of [282, 158, 69]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 30 | Linear OA(16112, 283, F16, 58) (dual of [283, 171, 59]-code) | [i] | ||
| 31 | Linear OA(16110, 283, F16, 57) (dual of [283, 173, 58]-code) | [i] | ||
| 32 | Linear OA(16108, 283, F16, 56) (dual of [283, 175, 57]-code) | [i] | ||
| 33 | Linear OA(16106, 283, F16, 55) (dual of [283, 177, 56]-code) | [i] | ||
| 34 | Linear OA(16104, 283, F16, 54) (dual of [283, 179, 55]-code) | [i] | ||
| 35 | Linear OA(16102, 283, F16, 53) (dual of [283, 181, 54]-code) | [i] | ||
| 36 | Linear OA(16100, 283, F16, 52) (dual of [283, 183, 53]-code) | [i] | ||
| 37 | Linear OA(1699, 284, F16, 51) (dual of [284, 185, 52]-code) | [i] | ||
| 38 | Linear OA(16124, 289, F16, 64) (dual of [289, 165, 65]-code) | [i] | ||
| 39 | Linear OA(16122, 289, F16, 63) (dual of [289, 167, 64]-code) | [i] | ||
| 40 | Linear OA(16120, 289, F16, 62) (dual of [289, 169, 63]-code) | [i] | ||