Information on Result #644104
Linear OA(818, 23, F8, 15) (dual of [23, 5, 16]-code), using algebraic-geometric code AG(F,7P) 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8110, 115, F8, 79) (dual of [115, 5, 80]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8133, 138, F8, 95) (dual of [138, 5, 96]-code) | [i] | ||
| 3 | Linear OA(8128, 132, F8, 95) (dual of [132, 4, 96]-code) | [i] | ||
| 4 | Linear OA(8150, 154, F8, 111) (dual of [154, 4, 112]-code) | [i] | ||
| 5 | Linear OA(8172, 176, F8, 127) (dual of [176, 4, 128]-code) | [i] | ||
| 6 | Linear OA(882, 87, F8, 66) (dual of [87, 5, 67]-code) | [i] | Juxtaposition | |
| 7 | Linear OA(8100, 105, F8, 79) (dual of [105, 5, 80]-code) | [i] | ||
| 8 | Linear OA(883, 87, F8, 71) (dual of [87, 4, 72]-code) | [i] | ||
| 9 | Linear OA(8148, 152, F8, 127) (dual of [152, 4, 128]-code) | [i] | ||
| 10 | Linear OA(888, 93, F8, 71) (dual of [93, 5, 72]-code) | [i] | ||
| 11 | Linear OA(892, 97, F8, 73) (dual of [97, 5, 74]-code) | [i] | ||
| 12 | Linear OA(897, 102, F8, 77) (dual of [102, 5, 78]-code) | [i] | ||
| 13 | Linear OA(893, 97, F8, 79) (dual of [97, 4, 80]-code) | [i] | ||
| 14 | Linear OA(890, 95, F8, 73) (dual of [95, 5, 74]-code) | [i] | ||
| 15 | Linear OA(8144, 149, F8, 119) (dual of [149, 5, 120]-code) | [i] | ||
| 16 | Linear OOA(2123, 69, F2, 2, 63) (dual of [(69, 2), 15, 64]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 17 | Linear OOA(2120, 66, F2, 2, 63) (dual of [(66, 2), 12, 64]-NRT-code) | [i] | ||
| 18 | Linear OOA(2123, 46, F2, 3, 63) (dual of [(46, 3), 15, 64]-NRT-code) | [i] | ||
| 19 | Linear OOA(2192, 69, F2, 3, 111) (dual of [(69, 3), 15, 112]-NRT-code) | [i] | ||
| 20 | Linear OOA(2186, 66, F2, 3, 111) (dual of [(66, 3), 12, 112]-NRT-code) | [i] | ||
| 21 | Linear OA(821, 26, F8, 17) (dual of [26, 5, 18]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 22 | Linear OA(819, 26, F8, 15) (dual of [26, 7, 16]-code) | [i] | ✔ | |
| 23 | Linear OA(827, 32, F8, 21) (dual of [32, 5, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(821, 30, F8, 15) (dual of [30, 9, 16]-code) | [i] | ✔ | |
| 25 | Linear OA(824, 29, F8, 19) (dual of [29, 5, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(828, 33, F8, 22) (dual of [33, 5, 23]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |