Information on Result #657080

Linear OA(820, 24, F8, 17) (dual of [24, 4, 18]-code), using algebraic-geometric code AG(F,3P) with degP = 2 based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic 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(892, 96, F8, 71) (dual of [96, 4, 72]-code) [i]Repeating Each Code Word
2Linear OA(8116, 120, F8, 89) (dual of [120, 4, 90]-code) [i]
3Linear OA(8140, 144, F8, 107) (dual of [144, 4, 108]-code) [i]
4Linear OA(8164, 168, F8, 125) (dual of [168, 4, 126]-code) [i]
5Linear OA(8111, 537, F8, 35) (dual of [537, 426, 36]-code) [i](u, u+v)-Construction
6Linear OA(8171, 32793, F8, 35) (dual of [32793, 32622, 36]-code) [i]
7Linear OA(8108, 536, F8, 34) (dual of [536, 428, 35]-code) [i]
8Linear OA(8166, 32792, F8, 34) (dual of [32792, 32626, 35]-code) [i]
9Linear OA(885, 89, F8, 73) (dual of [89, 4, 74]-code) [i]Juxtaposition
10Linear OA(8150, 154, F8, 129) (dual of [154, 4, 130]-code) [i]
11Linear OA(895, 99, F8, 81) (dual of [99, 4, 82]-code) [i]
12Linear OOA(2132, 72, F2, 2, 71) (dual of [(72, 2), 12, 72]-NRT-code) [i]Concatenation of Two NRT-Codes
13Linear OOA(2204, 72, F2, 3, 125) (dual of [(72, 3), 12, 126]-NRT-code) [i]
14Linear OA(823, 27, F8, 19) (dual of [27, 4, 20]-code) [i]✔Construction X with Algebraic-Geometric Codes
15Linear OA(821, 27, F8, 17) (dual of [27, 6, 18]-code) [i]✔
16Linear OA(828, 32, F8, 23) (dual of [32, 4, 24]-code) [i]✔
17Linear OA(823, 31, F8, 17) (dual of [31, 8, 18]-code) [i]✔
18Linear OA(830, 35, F8, 23) (dual of [35, 5, 24]-code) [i]✔Construction XX with a Chain of Algebraic-Geometric Codes
19Linear OOA(820, 12, F8, 2, 17) (dual of [(12, 2), 4, 18]-NRT-code) [i]OOA Folding