Information on Result #644167
Linear OA(832, 44, F8, 23) (dual of [44, 12, 24]-code), using algebraic-geometric code AG(F,20P) based on function field F/F8 with g(F) = 9 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(876, 88, F8, 47) (dual of [88, 12, 48]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8120, 132, F8, 71) (dual of [132, 12, 72]-code) | [i] | ||
| 3 | Linear OA(875, 86, F8, 47) (dual of [86, 11, 48]-code) | [i] | ||
| 4 | Linear OA(8118, 129, F8, 71) (dual of [129, 11, 72]-code) | [i] | ||
| 5 | Linear OA(874, 84, F8, 47) (dual of [84, 10, 48]-code) | [i] | ||
| 6 | Linear OA(8116, 126, F8, 71) (dual of [126, 10, 72]-code) | [i] | ||
| 7 | Linear OA(873, 82, F8, 47) (dual of [82, 9, 48]-code) | [i] | ||
| 8 | Linear OA(872, 80, F8, 47) (dual of [80, 8, 48]-code) | [i] | ||
| 9 | Linear OA(897, 106, F8, 70) (dual of [106, 9, 71]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(2140, 176, F2, 47) (dual of [176, 36, 48]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(2139, 172, F2, 47) (dual of [172, 33, 48]-code) | [i] | ||
| 12 | Linear OOA(2228, 132, F2, 2, 95) (dual of [(132, 2), 36, 96]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 13 | Linear OOA(2225, 129, F2, 2, 95) (dual of [(129, 2), 33, 96]-NRT-code) | [i] | ||
| 14 | Linear OOA(2222, 126, F2, 2, 95) (dual of [(126, 2), 30, 96]-NRT-code) | [i] | ||
| 15 | Linear OOA(2219, 123, F2, 2, 95) (dual of [(123, 2), 27, 96]-NRT-code) | [i] | ||
| 16 | Linear OOA(2228, 88, F2, 3, 95) (dual of [(88, 3), 36, 96]-NRT-code) | [i] | ||
| 17 | Linear OOA(2225, 86, F2, 3, 95) (dual of [(86, 3), 33, 96]-NRT-code) | [i] | ||
| 18 | Linear OOA(2222, 84, F2, 3, 95) (dual of [(84, 3), 30, 96]-NRT-code) | [i] | ||
| 19 | Linear OOA(2219, 82, F2, 3, 95) (dual of [(82, 3), 27, 96]-NRT-code) | [i] | ||
| 20 | Linear OA(835, 47, F8, 25) (dual of [47, 12, 26]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 21 | Linear OA(833, 47, F8, 23) (dual of [47, 14, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(837, 49, F8, 26) (dual of [49, 12, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(834, 49, F8, 23) (dual of [49, 15, 24]-code) | [i] | ✔ | |
| 24 | Linear OOA(832, 22, F8, 2, 23) (dual of [(22, 2), 12, 24]-NRT-code) | [i] | OOA Folding | |