Information on Result #622396
Linear OA(1622, 38, F16, 19) (dual of [38, 16, 20]-code), using extended algebraic-geometric code AGe(F,18P) 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(1696, 111, F16, 59) (dual of [111, 15, 60]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1694, 108, F16, 59) (dual of [108, 14, 60]-code) | [i] | ||
| 3 | Linear OA(444, 76, F4, 19) (dual of [76, 32, 20]-code) | [i] | Trace Code | |
| 4 | Linear OA(16128, 4134, F16, 38) (dual of [4134, 4006, 39]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(1687, 103, F16, 63) (dual of [103, 16, 64]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(1687, 102, F16, 64) (dual of [102, 15, 65]-code) | [i] | ||
| 7 | Linear OA(1687, 101, F16, 65) (dual of [101, 14, 66]-code) | [i] | ||
| 8 | Linear OA(1687, 100, F16, 66) (dual of [100, 13, 67]-code) | [i] | ||
| 9 | Linear OA(2126, 190, F2, 39) (dual of [190, 64, 40]-code) | [i] | Concatenation of Two Codes | |
| 10 | Linear OA(2125, 185, F2, 39) (dual of [185, 60, 40]-code) | [i] | ||
| 11 | Linear OA(2124, 180, F2, 39) (dual of [180, 56, 40]-code) | [i] | ||
| 12 | Linear OA(2123, 175, F2, 39) (dual of [175, 52, 40]-code) | [i] | ||
| 13 | Linear OA(2240, 304, F2, 79) (dual of [304, 64, 80]-code) | [i] | ||
| 14 | Linear OA(2236, 296, F2, 79) (dual of [296, 60, 80]-code) | [i] | ||
| 15 | Linear OA(2232, 288, F2, 79) (dual of [288, 56, 80]-code) | [i] | ||
| 16 | Linear OA(2228, 280, F2, 79) (dual of [280, 52, 80]-code) | [i] | ||
| 17 | Linear OA(482, 114, F4, 39) (dual of [114, 32, 40]-code) | [i] | ||
| 18 | Linear OA(481, 111, F4, 39) (dual of [111, 30, 40]-code) | [i] | ||
| 19 | Linear OA(480, 108, F4, 39) (dual of [108, 28, 40]-code) | [i] | ||
| 20 | Linear OA(479, 105, F4, 39) (dual of [105, 26, 40]-code) | [i] | ||
| 21 | Linear OA(4120, 152, F4, 59) (dual of [152, 32, 60]-code) | [i] | ||
| 22 | Linear OA(4114, 140, F4, 59) (dual of [140, 26, 60]-code) | [i] | ||
| 23 | Linear OOA(2164, 114, F2, 2, 59) (dual of [(114, 2), 64, 60]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 24 | Linear OOA(2162, 111, F2, 2, 59) (dual of [(111, 2), 60, 60]-NRT-code) | [i] | ||
| 25 | Linear OOA(2160, 108, F2, 2, 59) (dual of [(108, 2), 56, 60]-NRT-code) | [i] | ||
| 26 | Linear OOA(2158, 105, F2, 2, 59) (dual of [(105, 2), 52, 60]-NRT-code) | [i] | ||
| 27 | Linear OOA(2164, 76, F2, 3, 59) (dual of [(76, 3), 64, 60]-NRT-code) | [i] | ||
| 28 | Linear OOA(2162, 74, F2, 3, 59) (dual of [(74, 3), 60, 60]-NRT-code) | [i] | ||
| 29 | Linear OOA(2160, 72, F2, 3, 59) (dual of [(72, 3), 56, 60]-NRT-code) | [i] | ||
| 30 | Linear OOA(2158, 70, F2, 3, 59) (dual of [(70, 3), 52, 60]-NRT-code) | [i] | ||
| 31 | Linear OOA(2240, 76, F2, 4, 99) (dual of [(76, 4), 64, 100]-NRT-code) | [i] | ||
| 32 | Linear OOA(2236, 74, F2, 4, 99) (dual of [(74, 4), 60, 100]-NRT-code) | [i] | ||
| 33 | Linear OOA(2232, 72, F2, 4, 99) (dual of [(72, 4), 56, 100]-NRT-code) | [i] | ||
| 34 | Linear OOA(2228, 70, F2, 4, 99) (dual of [(70, 4), 52, 100]-NRT-code) | [i] | ||
| 35 | Linear OA(1685, 100, F16, 63) (dual of [100, 15, 64]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 36 | Linear OA(1685, 102, F16, 61) (dual of [102, 17, 62]-code) | [i] | ||
| 37 | Linear OOA(1622, 19, F16, 2, 19) (dual of [(19, 2), 16, 20]-NRT-code) | [i] | OOA Folding | |