Information on Result #622394
Linear OA(1620, 38, F16, 17) (dual of [38, 18, 18]-code), using extended algebraic-geometric code AGe(F,20P) based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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(440, 76, F4, 17) (dual of [76, 36, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(16117, 4135, F16, 35) (dual of [4135, 4018, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(16114, 4134, F16, 34) (dual of [4134, 4020, 35]-code) | [i] | ||
| 4 | Linear OA(1685, 103, F16, 59) (dual of [103, 18, 60]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(1685, 102, F16, 60) (dual of [102, 17, 61]-code) | [i] | ||
| 6 | Linear OA(1685, 101, F16, 61) (dual of [101, 16, 62]-code) | [i] | ||
| 7 | Linear OA(1685, 100, F16, 62) (dual of [100, 15, 63]-code) | [i] | ||
| 8 | Linear OA(2118, 190, F2, 35) (dual of [190, 72, 36]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(2117, 185, F2, 35) (dual of [185, 68, 36]-code) | [i] | ||
| 10 | Linear OA(2116, 180, F2, 35) (dual of [180, 64, 36]-code) | [i] | ||
| 11 | Linear OA(2115, 175, F2, 35) (dual of [175, 60, 36]-code) | [i] | ||
| 12 | Linear OA(478, 114, F4, 35) (dual of [114, 36, 36]-code) | [i] | ||
| 13 | Linear OA(477, 111, F4, 35) (dual of [111, 34, 36]-code) | [i] | ||
| 14 | Linear OA(476, 108, F4, 35) (dual of [108, 32, 36]-code) | [i] | ||
| 15 | Linear OA(475, 105, F4, 35) (dual of [105, 30, 36]-code) | [i] | ||
| 16 | Linear OOA(2156, 114, F2, 2, 53) (dual of [(114, 2), 72, 54]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 17 | Linear OOA(2154, 111, F2, 2, 53) (dual of [(111, 2), 68, 54]-NRT-code) | [i] | ||
| 18 | Linear OOA(2152, 108, F2, 2, 53) (dual of [(108, 2), 64, 54]-NRT-code) | [i] | ||
| 19 | Linear OOA(2150, 105, F2, 2, 53) (dual of [(105, 2), 60, 54]-NRT-code) | [i] | ||
| 20 | Linear OOA(2156, 76, F2, 3, 53) (dual of [(76, 3), 72, 54]-NRT-code) | [i] | ||
| 21 | Linear OOA(2154, 74, F2, 3, 53) (dual of [(74, 3), 68, 54]-NRT-code) | [i] | ||
| 22 | Linear OOA(2152, 72, F2, 3, 53) (dual of [(72, 3), 64, 54]-NRT-code) | [i] | ||
| 23 | Linear OOA(2260, 108, F2, 3, 107) (dual of [(108, 3), 64, 108]-NRT-code) | [i] | ||
| 24 | Linear OOA(2255, 105, F2, 3, 107) (dual of [(105, 3), 60, 108]-NRT-code) | [i] | ||
| 25 | Linear OOA(2224, 72, F2, 4, 89) (dual of [(72, 4), 64, 90]-NRT-code) | [i] | ||
| 26 | Linear OOA(2220, 70, F2, 4, 89) (dual of [(70, 4), 60, 90]-NRT-code) | [i] | ||
| 27 | Linear OA(1683, 102, F16, 57) (dual of [102, 19, 58]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 28 | Linear OA(1682, 102, F16, 56) (dual of [102, 20, 57]-code) | [i] | ||
| 29 | Linear OA(1681, 102, F16, 55) (dual of [102, 21, 56]-code) | [i] | ||
| 30 | Linear OA(1680, 102, F16, 54) (dual of [102, 22, 55]-code) | [i] | ||
| 31 | Linear OA(1679, 102, F16, 53) (dual of [102, 23, 54]-code) | [i] | ||
| 32 | Linear OA(1678, 102, F16, 52) (dual of [102, 24, 53]-code) | [i] | ||
| 33 | Linear OA(1677, 102, F16, 51) (dual of [102, 25, 52]-code) | [i] | ||
| 34 | Linear OA(1676, 102, F16, 50) (dual of [102, 26, 51]-code) | [i] | ||
| 35 | Linear OA(1675, 102, F16, 49) (dual of [102, 27, 50]-code) | [i] | ||
| 36 | Linear OA(1674, 102, F16, 48) (dual of [102, 28, 49]-code) | [i] | ||
| 37 | Linear OA(1673, 102, F16, 47) (dual of [102, 29, 48]-code) | [i] | ||
| 38 | Linear OA(1672, 102, F16, 46) (dual of [102, 30, 47]-code) | [i] | ||
| 39 | Linear OA(1671, 102, F16, 45) (dual of [102, 31, 46]-code) | [i] | ||
| 40 | Linear OA(1670, 102, F16, 44) (dual of [102, 32, 45]-code) | [i] | ||
| 41 | Linear OA(1669, 102, F16, 43) (dual of [102, 33, 44]-code) | [i] | ||
| 42 | Linear OA(1668, 102, F16, 42) (dual of [102, 34, 43]-code) | [i] | ||
| 43 | Linear OA(1667, 102, F16, 41) (dual of [102, 35, 42]-code) | [i] | ||
| 44 | Linear OA(1666, 102, F16, 40) (dual of [102, 36, 41]-code) | [i] | ||
| 45 | Linear OA(1665, 102, F16, 39) (dual of [102, 37, 40]-code) | [i] | ||
| 46 | Linear OA(1664, 102, F16, 38) (dual of [102, 38, 39]-code) | [i] | ||
| 47 | Linear OA(1663, 102, F16, 37) (dual of [102, 39, 38]-code) | [i] | ||
| 48 | Linear OA(1662, 102, F16, 36) (dual of [102, 40, 37]-code) | [i] | ||
| 49 | Linear OA(1682, 99, F16, 59) (dual of [99, 17, 60]-code) | [i] | ||
| 50 | Linear OA(1681, 99, F16, 58) (dual of [99, 18, 59]-code) | [i] | ||
| 51 | Linear OA(1680, 101, F16, 55) (dual of [101, 21, 56]-code) | [i] | ||
| 52 | Linear OA(1679, 101, F16, 54) (dual of [101, 22, 55]-code) | [i] | ||
| 53 | Linear OA(1678, 101, F16, 53) (dual of [101, 23, 54]-code) | [i] | ||
| 54 | Linear OOA(1620, 19, F16, 2, 17) (dual of [(19, 2), 18, 18]-NRT-code) | [i] | OOA Folding | |