Information on Result #658767

Linear OA(856, 64, F8, 43) (dual of [64, 8, 44]-code), using algebraic-geometric code AG(F,20P) 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:

ResultThis
result
only		Method
1Linear OA(861, 69, F8, 47) (dual of [69, 8, 48]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(857, 68, F8, 43) (dual of [68, 11, 44]-code) [i]✔
3Linear OA(865, 73, F8, 50) (dual of [73, 8, 51]-code) [i]✔
4Linear OA(868, 76, F8, 51) (dual of [76, 8, 52]-code) [i]✔
5Linear OA(860, 73, F8, 43) (dual of [73, 13, 44]-code) [i]✔
6Linear OA(862, 76, F8, 43) (dual of [76, 14, 44]-code) [i]✔
7Linear OA(865, 80, F8, 43) (dual of [80, 15, 44]-code) [i]✔
8Linear OA(867, 83, F8, 43) (dual of [83, 16, 44]-code) [i]✔
9Linear OA(868, 85, F8, 43) (dual of [85, 17, 44]-code) [i]✔
10Linear OA(869, 87, F8, 43) (dual of [87, 18, 44]-code) [i]✔
11Linear OA(871, 90, F8, 43) (dual of [90, 19, 44]-code) [i]✔
12Linear OA(881, 91, F8, 56) (dual of [91, 10, 57]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
13Linear OA(874, 82, F8, 55) (dual of [82, 8, 56]-code) [i]✔
14Linear OA(872, 80, F8, 54) (dual of [80, 8, 55]-code) [i]✔
15Linear OA(867, 75, F8, 51) (dual of [75, 8, 52]-code) [i]✔
16Linear OA(865, 74, F8, 49) (dual of [74, 9, 50]-code) [i]✔
17Linear OA(864, 79, F8, 43) (dual of [79, 15, 44]-code) [i]✔
18Linear OA(866, 82, F8, 43) (dual of [82, 16, 44]-code) [i]✔
19Linear OA(870, 89, F8, 43) (dual of [89, 19, 44]-code) [i]✔
20Linear OA(872, 92, F8, 43) (dual of [92, 20, 44]-code) [i]✔