Information on Result #622421
Linear OA(1624, 45, F16, 20) (dual of [45, 21, 21]-code), using extended algebraic-geometric code AGe(F,24P) based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(448, 90, F4, 20) (dual of [90, 42, 21]-code) | [i] | Trace Code | |
| 2 | Linear OA(1671, 110, F16, 41) (dual of [110, 39, 42]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(1670, 110, F16, 40) (dual of [110, 40, 41]-code) | [i] | ||
| 4 | Linear OA(1689, 110, F16, 59) (dual of [110, 21, 60]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(1689, 109, F16, 60) (dual of [109, 20, 61]-code) | [i] | ||
| 6 | Linear OA(1689, 108, F16, 61) (dual of [108, 19, 62]-code) | [i] | ||
| 7 | Linear OA(1689, 107, F16, 62) (dual of [107, 18, 63]-code) | [i] | ||
| 8 | Linear OA(1689, 106, F16, 63) (dual of [106, 17, 64]-code) | [i] | ||
| 9 | Linear OA(1689, 105, F16, 64) (dual of [105, 16, 65]-code) | [i] | ||
| 10 | Linear OA(2138, 210, F2, 41) (dual of [210, 72, 42]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(2137, 205, F2, 41) (dual of [205, 68, 42]-code) | [i] | ||
| 12 | Linear OA(2136, 200, F2, 41) (dual of [200, 64, 42]-code) | [i] | ||
| 13 | Linear OA(493, 135, F4, 41) (dual of [135, 42, 42]-code) | [i] | ||
| 14 | Linear OA(492, 132, F4, 41) (dual of [132, 40, 42]-code) | [i] | ||
| 15 | Linear OA(491, 129, F4, 41) (dual of [129, 38, 42]-code) | [i] | ||
| 16 | Linear OA(490, 126, F4, 41) (dual of [126, 36, 42]-code) | [i] | ||
| 17 | Linear OA(489, 123, F4, 41) (dual of [123, 34, 42]-code) | [i] | ||
| 18 | Linear OA(488, 120, F4, 41) (dual of [120, 32, 42]-code) | [i] | ||
| 19 | Linear OOA(2186, 135, F2, 2, 62) (dual of [(135, 2), 84, 63]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 20 | Linear OOA(2184, 132, F2, 2, 62) (dual of [(132, 2), 80, 63]-NRT-code) | [i] | ||
| 21 | Linear OOA(2182, 129, F2, 2, 62) (dual of [(129, 2), 76, 63]-NRT-code) | [i] | ||
| 22 | Linear OOA(2180, 126, F2, 2, 62) (dual of [(126, 2), 72, 63]-NRT-code) | [i] | ||
| 23 | Linear OOA(2178, 123, F2, 2, 62) (dual of [(123, 2), 68, 63]-NRT-code) | [i] | ||
| 24 | Linear OOA(2176, 120, F2, 2, 62) (dual of [(120, 2), 64, 63]-NRT-code) | [i] | ||
| 25 | Linear OOA(2186, 90, F2, 3, 62) (dual of [(90, 3), 84, 63]-NRT-code) | [i] | ||
| 26 | Linear OOA(2184, 88, F2, 3, 62) (dual of [(88, 3), 80, 63]-NRT-code) | [i] | ||
| 27 | Linear OOA(2182, 86, F2, 3, 62) (dual of [(86, 3), 76, 63]-NRT-code) | [i] | ||
| 28 | Linear OOA(2180, 84, F2, 3, 62) (dual of [(84, 3), 72, 63]-NRT-code) | [i] | ||
| 29 | Linear OOA(2178, 82, F2, 3, 62) (dual of [(82, 3), 68, 63]-NRT-code) | [i] | ||
| 30 | Linear OOA(2176, 80, F2, 3, 62) (dual of [(80, 3), 64, 63]-NRT-code) | [i] | ||
| 31 | Linear OOA(2260, 82, F2, 4, 104) (dual of [(82, 4), 68, 105]-NRT-code) | [i] | ||
| 32 | Linear OOA(2256, 80, F2, 4, 104) (dual of [(80, 4), 64, 105]-NRT-code) | [i] | ||
| 33 | Linear OA(1687, 109, F16, 57) (dual of [109, 22, 58]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 34 | Linear OA(1686, 109, F16, 56) (dual of [109, 23, 57]-code) | [i] | ||
| 35 | Linear OA(1685, 109, F16, 55) (dual of [109, 24, 56]-code) | [i] | ||
| 36 | Linear OA(1684, 109, F16, 54) (dual of [109, 25, 55]-code) | [i] | ||
| 37 | Linear OA(1683, 109, F16, 53) (dual of [109, 26, 54]-code) | [i] | ||
| 38 | Linear OA(1682, 109, F16, 52) (dual of [109, 27, 53]-code) | [i] | ||
| 39 | Linear OA(1681, 109, F16, 51) (dual of [109, 28, 52]-code) | [i] | ||
| 40 | Linear OA(1680, 109, F16, 50) (dual of [109, 29, 51]-code) | [i] | ||
| 41 | Linear OA(1679, 109, F16, 49) (dual of [109, 30, 50]-code) | [i] | ||
| 42 | Linear OA(1678, 109, F16, 48) (dual of [109, 31, 49]-code) | [i] | ||
| 43 | Linear OA(1677, 109, F16, 47) (dual of [109, 32, 48]-code) | [i] | ||
| 44 | Linear OA(1676, 109, F16, 46) (dual of [109, 33, 47]-code) | [i] | ||
| 45 | Linear OA(1675, 109, F16, 45) (dual of [109, 34, 46]-code) | [i] | ||
| 46 | Linear OA(1674, 109, F16, 44) (dual of [109, 35, 45]-code) | [i] | ||
| 47 | Linear OA(1673, 109, F16, 43) (dual of [109, 36, 44]-code) | [i] | ||
| 48 | Linear OA(1672, 109, F16, 42) (dual of [109, 37, 43]-code) | [i] | ||
| 49 | Linear OA(1671, 109, F16, 41) (dual of [109, 38, 42]-code) | [i] | ||
| 50 | Linear OA(1670, 109, F16, 40) (dual of [109, 39, 41]-code) | [i] | ||
| 51 | Linear OA(1686, 106, F16, 59) (dual of [106, 20, 60]-code) | [i] | ||
| 52 | Linear OA(1685, 106, F16, 58) (dual of [106, 21, 59]-code) | [i] | ||
| 53 | Linear OA(1684, 108, F16, 55) (dual of [108, 24, 56]-code) | [i] | ||
| 54 | Linear OA(1683, 108, F16, 54) (dual of [108, 25, 55]-code) | [i] | ||
| 55 | Linear OA(1682, 108, F16, 53) (dual of [108, 26, 54]-code) | [i] | ||
| 56 | Linear OOA(1624, 22, F16, 2, 20) (dual of [(22, 2), 20, 21]-NRT-code) | [i] | OOA Folding | |