Information on Result #624391

Linear OA(817, 100, F81, 6) (dual of [100, 93, 7]-code), using extended algebraic-geometric code AGe(F,93P) based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(914, 200, F9, 6) (dual of [200, 186, 7]-code) [i]Trace Code
2Linear OA(8121, 200, F81, 13) (dual of [200, 179, 14]-code) [i](u, u+v)-Construction
3Linear OA(8122, 216, F81, 13) (dual of [216, 194, 14]-code) [i]
4Linear OA(8132, 6662, F81, 13) (dual of [6662, 6630, 14]-code) [i]
5Linear OA(8144, 531542, F81, 13) (dual of [531542, 531498, 14]-code) [i]
6Linear OA(8120, 200, F81, 12) (dual of [200, 180, 13]-code) [i]
7Linear OA(8130, 6661, F81, 12) (dual of [6661, 6631, 13]-code) [i]
8Linear OA(8141, 531541, F81, 12) (dual of [531541, 531500, 13]-code) [i]
9Linear OA(8132, 6663, F81, 13) (dual of [6663, 6631, 14]-code) [i]
10Linear OA(8144, 531544, F81, 13) (dual of [531544, 531500, 14]-code) [i]
11Linear OA(8130, 6663, F81, 12) (dual of [6663, 6633, 13]-code) [i]
12Linear OA(8141, 531544, F81, 12) (dual of [531544, 531503, 13]-code) [i]
13Linear OA(8115, 6660, F81, 6) (dual of [6660, 6645, 7]-code) [i]Generalized (u, u+v)-Construction
14Linear OA(8176, 531641, F81, 20) (dual of [531641, 531565, 21]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(8172, 531642, F81, 19) (dual of [531642, 531570, 20]-code) [i]
16Linear OA(8148, 531624, F81, 13) (dual of [531624, 531576, 14]-code) [i]
17Linear OA(8110, 221, F81, 6) (dual of [221, 211, 7]-code) [i]VarÅ¡amov–Edel Lengthening