Information on Result #658754
Linear OA(860, 64, F8, 51) (dual of [64, 4, 52]-code), using algebraic-geometric code AG(F,12P) 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(860, 65, F8, 51) (dual of [65, 5, 52]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(868, 76, F8, 51) (dual of [76, 8, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(869, 78, F8, 51) (dual of [78, 9, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(871, 81, F8, 51) (dual of [81, 10, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(872, 83, F8, 51) (dual of [83, 11, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(874, 86, F8, 51) (dual of [86, 12, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(875, 88, F8, 51) (dual of [88, 13, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(877, 91, F8, 51) (dual of [91, 14, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(869, 74, F8, 57) (dual of [74, 5, 58]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 10 | Linear OA(867, 75, F8, 51) (dual of [75, 8, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(881, 96, F8, 51) (dual of [96, 15, 52]-code) | [i] | ✔ | |