Information on Result #658758
Linear OA(855, 64, F8, 42) (dual of [64, 9, 43]-code), using algebraic-geometric code AG(F,21P) with known gap numbers based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field 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(855, 66, F8, 42) (dual of [66, 11, 43]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(857, 69, F8, 42) (dual of [69, 12, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(862, 71, F8, 47) (dual of [71, 9, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(858, 71, F8, 42) (dual of [71, 13, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(867, 76, F8, 50) (dual of [76, 9, 51]-code) | [i] | ✔ | |
| 6 | Linear OA(864, 73, F8, 48) (dual of [73, 9, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(859, 73, F8, 42) (dual of [73, 14, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(869, 78, F8, 51) (dual of [78, 9, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(862, 77, F8, 42) (dual of [77, 15, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(864, 80, F8, 42) (dual of [80, 16, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(866, 83, F8, 42) (dual of [83, 17, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(867, 85, F8, 42) (dual of [85, 18, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(868, 87, F8, 42) (dual of [87, 19, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(870, 90, F8, 42) (dual of [90, 20, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(882, 93, F8, 56) (dual of [93, 11, 57]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 16 | Linear OA(881, 93, F8, 55) (dual of [93, 12, 56]-code) | [i] | ✔ | |
| 17 | Linear OA(865, 74, F8, 49) (dual of [74, 9, 50]-code) | [i] | ✔ | |
| 18 | Linear OA(863, 79, F8, 42) (dual of [79, 16, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(865, 82, F8, 42) (dual of [82, 17, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(872, 93, F8, 42) (dual of [93, 21, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(869, 89, F8, 42) (dual of [89, 20, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(871, 92, F8, 42) (dual of [92, 21, 43]-code) | [i] | ✔ | |