Information on Result #658756

Linear OA(858, 64, F8, 47) (dual of [64, 6, 48]-code), using algebraic-geometric code AG(F,16P) 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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8122, 128, F8, 95) (dual of [128, 6, 96]-code) [i]Repeating Each Code Word
2Linear OA(861, 67, F8, 50) (dual of [67, 6, 51]-code) [i]✔Construction X with Algebraic-Geometric Codes
3Linear OA(861, 69, F8, 47) (dual of [69, 8, 48]-code) [i]✔
4Linear OA(862, 71, F8, 47) (dual of [71, 9, 48]-code) [i]✔
5Linear OA(863, 73, F8, 47) (dual of [73, 10, 48]-code) [i]✔
6Linear OA(864, 75, F8, 47) (dual of [75, 11, 48]-code) [i]✔
7Linear OA(862, 73, F8, 46) (dual of [73, 11, 47]-code) [i]✔
8Linear OA(866, 78, F8, 47) (dual of [78, 12, 48]-code) [i]✔
9Linear OA(868, 81, F8, 47) (dual of [81, 13, 48]-code) [i]✔
10Linear OA(870, 84, F8, 47) (dual of [84, 14, 48]-code) [i]✔
11Linear OA(872, 87, F8, 47) (dual of [87, 15, 48]-code) [i]✔
12Linear OA(874, 90, F8, 47) (dual of [90, 16, 48]-code) [i]✔
13Linear OA(872, 88, F8, 46) (dual of [88, 16, 47]-code) [i]✔
14Linear OA(877, 94, F8, 47) (dual of [94, 17, 48]-code) [i]✔
15Linear OA(875, 92, F8, 46) (dual of [92, 17, 47]-code) [i]✔
16Linear OA(866, 79, F8, 46) (dual of [79, 13, 47]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
17Linear OA(868, 82, F8, 46) (dual of [82, 14, 47]-code) [i]✔
18Linear OA(876, 93, F8, 47) (dual of [93, 17, 48]-code) [i]✔
19Linear OA(873, 89, F8, 47) (dual of [89, 16, 48]-code) [i]✔
20Linear OA(874, 91, F8, 46) (dual of [91, 17, 47]-code) [i]✔
21Linear OA(876, 94, F8, 46) (dual of [94, 18, 47]-code) [i]✔