Information on Result #657086
Linear OA(814, 24, F8, 11) (dual of [24, 10, 12]-code), using algebraic-geometric code AG(F,6P) with degPÂ =Â 2 based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(875, 537, F8, 23) (dual of [537, 462, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8115, 32793, F8, 23) (dual of [32793, 32678, 24]-code) | [i] | ||
| 3 | Linear OA(8155, 2097177, F8, 23) (dual of [2097177, 2097022, 24]-code) | [i] | ||
| 4 | Linear OA(8110, 32792, F8, 22) (dual of [32792, 32682, 23]-code) | [i] | ||
| 5 | Linear OA(8148, 2097176, F8, 22) (dual of [2097176, 2097028, 23]-code) | [i] | ||
| 6 | Linear OA(877, 87, F8, 53) (dual of [87, 10, 54]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(8131, 141, F8, 97) (dual of [141, 10, 98]-code) | [i] | ||
| 8 | Linear OOA(2114, 72, F2, 2, 47) (dual of [(72, 2), 30, 48]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 9 | Linear OOA(2186, 72, F2, 3, 83) (dual of [(72, 3), 30, 84]-NRT-code) | [i] | ||
| 10 | Linear OA(817, 27, F8, 13) (dual of [27, 10, 14]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 11 | Linear OA(815, 27, F8, 11) (dual of [27, 12, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(821, 31, F8, 15) (dual of [31, 10, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(817, 31, F8, 11) (dual of [31, 14, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(872, 88, F8, 46) (dual of [88, 16, 47]-code) | [i] | ||
| 15 | Linear OA(871, 88, F8, 45) (dual of [88, 17, 46]-code) | [i] | ||
| 16 | Linear OA(867, 88, F8, 41) (dual of [88, 21, 42]-code) | [i] | ||
| 17 | Linear OA(879, 92, F8, 53) (dual of [92, 13, 54]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 18 | Linear OA(877, 92, F8, 50) (dual of [92, 15, 51]-code) | [i] | ||
| 19 | Linear OA(875, 90, F8, 49) (dual of [90, 15, 50]-code) | [i] | ||
| 20 | Linear OA(873, 89, F8, 47) (dual of [89, 16, 48]-code) | [i] | ||
| 21 | Linear OA(861, 87, F8, 35) (dual of [87, 26, 36]-code) | [i] | Construction X with Cyclic Codes | |
| 22 | Linear OOA(814, 12, F8, 2, 11) (dual of [(12, 2), 10, 12]-NRT-code) | [i] | OOA Folding | |