Information on Result #622395
Linear OA(1621, 38, F16, 18) (dual of [38, 17, 19]-code), using extended algebraic-geometric code AGe(F,19P) 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(1693, 108, F16, 56) (dual of [108, 15, 57]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1691, 105, F16, 56) (dual of [105, 14, 57]-code) | [i] | ||
| 3 | Linear OA(442, 76, F4, 18) (dual of [76, 34, 19]-code) | [i] | Trace Code | |
| 4 | Linear OA(16124, 4135, F16, 37) (dual of [4135, 4011, 38]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(16121, 4134, F16, 36) (dual of [4134, 4013, 37]-code) | [i] | ||
| 6 | Linear OA(1686, 103, F16, 61) (dual of [103, 17, 62]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(1686, 102, F16, 62) (dual of [102, 16, 63]-code) | [i] | ||
| 8 | Linear OA(1686, 101, F16, 63) (dual of [101, 15, 64]-code) | [i] | ||
| 9 | Linear OA(1686, 100, F16, 64) (dual of [100, 14, 65]-code) | [i] | ||
| 10 | Linear OA(2122, 190, F2, 37) (dual of [190, 68, 38]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(2121, 185, F2, 37) (dual of [185, 64, 38]-code) | [i] | ||
| 12 | Linear OA(2120, 180, F2, 37) (dual of [180, 60, 38]-code) | [i] | ||
| 13 | Linear OA(2119, 175, F2, 37) (dual of [175, 56, 38]-code) | [i] | ||
| 14 | Linear OA(2228, 288, F2, 75) (dual of [288, 60, 76]-code) | [i] | ||
| 15 | Linear OA(2224, 280, F2, 75) (dual of [280, 56, 76]-code) | [i] | ||
| 16 | Linear OA(480, 114, F4, 37) (dual of [114, 34, 38]-code) | [i] | ||
| 17 | Linear OA(479, 111, F4, 37) (dual of [111, 32, 38]-code) | [i] | ||
| 18 | Linear OA(478, 108, F4, 37) (dual of [108, 30, 38]-code) | [i] | ||
| 19 | Linear OA(477, 105, F4, 37) (dual of [105, 28, 38]-code) | [i] | ||
| 20 | Linear OOA(2160, 114, F2, 2, 56) (dual of [(114, 2), 68, 57]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 21 | Linear OOA(2158, 111, F2, 2, 56) (dual of [(111, 2), 64, 57]-NRT-code) | [i] | ||
| 22 | Linear OOA(2156, 108, F2, 2, 56) (dual of [(108, 2), 60, 57]-NRT-code) | [i] | ||
| 23 | Linear OOA(2154, 105, F2, 2, 56) (dual of [(105, 2), 56, 57]-NRT-code) | [i] | ||
| 24 | Linear OOA(2160, 76, F2, 3, 56) (dual of [(76, 3), 68, 57]-NRT-code) | [i] | ||
| 25 | Linear OOA(2158, 74, F2, 3, 56) (dual of [(74, 3), 64, 57]-NRT-code) | [i] | ||
| 26 | Linear OOA(2156, 72, F2, 3, 56) (dual of [(72, 3), 60, 57]-NRT-code) | [i] | ||
| 27 | Linear OOA(2259, 105, F2, 3, 113) (dual of [(105, 3), 56, 114]-NRT-code) | [i] | ||
| 28 | Linear OOA(2236, 76, F2, 4, 94) (dual of [(76, 4), 68, 95]-NRT-code) | [i] | ||
| 29 | Linear OOA(2232, 74, F2, 4, 94) (dual of [(74, 4), 64, 95]-NRT-code) | [i] | ||
| 30 | Linear OOA(2228, 72, F2, 4, 94) (dual of [(72, 4), 60, 95]-NRT-code) | [i] | ||
| 31 | Linear OOA(2224, 70, F2, 4, 94) (dual of [(70, 4), 56, 95]-NRT-code) | [i] | ||
| 32 | Linear OA(1684, 102, F16, 59) (dual of [102, 18, 60]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 33 | Linear OA(1683, 101, F16, 59) (dual of [101, 18, 60]-code) | [i] | ||
| 34 | Linear OA(1682, 101, F16, 58) (dual of [101, 19, 59]-code) | [i] | ||
| 35 | Linear OA(1682, 102, F16, 57) (dual of [102, 20, 58]-code) | [i] | ||
| 36 | Linear OOA(1621, 19, F16, 2, 18) (dual of [(19, 2), 17, 19]-NRT-code) | [i] | OOA Folding | |