Information on Result #622451
Linear OA(1626, 49, F16, 21) (dual of [49, 23, 22]-code), using extended algebraic-geometric code AGe(F,27P) based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, 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(1675, 98, F16, 43) (dual of [98, 23, 44]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(452, 98, F4, 21) (dual of [98, 46, 22]-code) | [i] | Trace Code | |
| 3 | Linear OA(1675, 114, F16, 43) (dual of [114, 39, 44]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(1674, 114, F16, 42) (dual of [114, 40, 43]-code) | [i] | ||
| 5 | Linear OA(1691, 114, F16, 58) (dual of [114, 23, 59]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(1691, 113, F16, 59) (dual of [113, 22, 60]-code) | [i] | ||
| 7 | Linear OA(1691, 112, F16, 60) (dual of [112, 21, 61]-code) | [i] | ||
| 8 | Linear OA(4101, 147, F4, 43) (dual of [147, 46, 44]-code) | [i] | Concatenation of Two Codes | |
| 9 | Linear OA(4100, 144, F4, 43) (dual of [144, 44, 44]-code) | [i] | ||
| 10 | Linear OA(499, 141, F4, 43) (dual of [141, 42, 44]-code) | [i] | ||
| 11 | Linear OOA(2202, 147, F2, 2, 65) (dual of [(147, 2), 92, 66]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 12 | Linear OOA(2200, 144, F2, 2, 65) (dual of [(144, 2), 88, 66]-NRT-code) | [i] | ||
| 13 | Linear OOA(2198, 141, F2, 2, 65) (dual of [(141, 2), 84, 66]-NRT-code) | [i] | ||
| 14 | Linear OA(1688, 112, F16, 56) (dual of [112, 24, 57]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 15 | Linear OA(1687, 112, F16, 55) (dual of [112, 25, 56]-code) | [i] | ||
| 16 | Linear OA(1686, 112, F16, 54) (dual of [112, 26, 55]-code) | [i] | ||
| 17 | Linear OA(1685, 112, F16, 53) (dual of [112, 27, 54]-code) | [i] | ||
| 18 | Linear OA(1684, 112, F16, 52) (dual of [112, 28, 53]-code) | [i] | ||
| 19 | Linear OA(1683, 112, F16, 51) (dual of [112, 29, 52]-code) | [i] | ||
| 20 | Linear OA(1682, 112, F16, 50) (dual of [112, 30, 51]-code) | [i] | ||
| 21 | Linear OA(1681, 112, F16, 49) (dual of [112, 31, 50]-code) | [i] | ||
| 22 | Linear OA(1680, 112, F16, 48) (dual of [112, 32, 49]-code) | [i] | ||
| 23 | Linear OA(1679, 112, F16, 47) (dual of [112, 33, 48]-code) | [i] | ||
| 24 | Linear OA(1678, 112, F16, 46) (dual of [112, 34, 47]-code) | [i] | ||
| 25 | Linear OA(1677, 112, F16, 45) (dual of [112, 35, 46]-code) | [i] | ||
| 26 | Linear OA(1676, 112, F16, 44) (dual of [112, 36, 45]-code) | [i] | ||
| 27 | Linear OA(1675, 112, F16, 43) (dual of [112, 37, 44]-code) | [i] | ||
| 28 | Linear OA(1674, 112, F16, 42) (dual of [112, 38, 43]-code) | [i] | ||
| 29 | Linear OA(1686, 111, F16, 55) (dual of [111, 25, 56]-code) | [i] | ||
| 30 | Linear OA(1685, 111, F16, 54) (dual of [111, 26, 55]-code) | [i] | ||
| 31 | Linear OA(1684, 111, F16, 53) (dual of [111, 27, 54]-code) | [i] | ||
| 32 | Linear OOA(1626, 24, F16, 2, 21) (dual of [(24, 2), 22, 22]-NRT-code) | [i] | OOA Folding | |