Information on Result #653532

Linear OA(6450, 181, F64, 41) (dual of [181, 131, 42]-code), using construction X applied to AG(F,134P) ⊂ AG(F,137P) based on
  1. linear OA(6448, 176, F64, 41) (dual of [176, 128, 42]-code), using algebraic-geometric code AG(F,134P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
  2. linear OA(6445, 176, F64, 38) (dual of [176, 131, 39]-code), using algebraic-geometric code AG(F,137P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
  3. linear OA(642, 5, F64, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), 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(4150, 543, F4, 41) (dual of [543, 393, 42]-code) [i]Trace Code
2Linear OA(8100, 362, F8, 41) (dual of [362, 262, 42]-code) [i]
3OA(3260, 181, S32, 41) [i]Discarding Parts of the Base for OAs
4Linear OOA(6450, 90, F64, 2, 41) (dual of [(90, 2), 130, 42]-NRT-code) [i]OOA Folding