Information on Result #658779

Linear OA(857, 64, F8, 45) (dual of [64, 7, 46]-code), using algebraic-geometric code AG(F,18P) 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(860, 71, F8, 45) (dual of [71, 11, 46]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(871, 78, F8, 55) (dual of [78, 7, 56]-code) [i]✔
3Linear OA(864, 77, F8, 45) (dual of [77, 13, 46]-code) [i]✔
4Linear OA(866, 80, F8, 45) (dual of [80, 14, 46]-code) [i]✔
5Linear OA(864, 78, F8, 44) (dual of [78, 14, 45]-code) [i]✔
6Linear OA(869, 84, F8, 45) (dual of [84, 15, 46]-code) [i]✔
7Linear OA(870, 86, F8, 45) (dual of [86, 16, 46]-code) [i]✔
8Linear OA(871, 88, F8, 45) (dual of [88, 17, 46]-code) [i]✔
9Linear OA(874, 92, F8, 45) (dual of [92, 18, 46]-code) [i]✔
10Linear OA(872, 90, F8, 44) (dual of [90, 18, 45]-code) [i]✔
11Linear OA(872, 80, F8, 54) (dual of [80, 8, 55]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
12Linear OA(867, 75, F8, 51) (dual of [75, 8, 52]-code) [i]✔
13Linear OA(865, 79, F8, 45) (dual of [79, 14, 46]-code) [i]✔
14Linear OA(867, 82, F8, 44) (dual of [82, 15, 45]-code) [i]✔
15Linear OA(868, 83, F8, 45) (dual of [83, 15, 46]-code) [i]✔
16Linear OA(873, 91, F8, 45) (dual of [91, 18, 46]-code) [i]✔
17Linear OA(874, 93, F8, 44) (dual of [93, 19, 45]-code) [i]✔
18Linear OA(871, 89, F8, 44) (dual of [89, 18, 45]-code) [i]✔
19Linear OA(875, 94, F8, 45) (dual of [94, 19, 46]-code) [i]✔
20Linear OA(873, 92, F8, 44) (dual of [92, 19, 45]-code) [i]✔