Information on Result #647751
Linear OA(27110, 138, F27, 74) (dual of [138, 28, 75]-code), using construction X applied to AG(F,0P) ⊂ AG(F,33P) based on
- linear OA(2774, 75, F27, 74) (dual of [75, 1, 75]-code or 75-arc in PG(73,27)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- linear OA(2747, 75, F27, 41) (dual of [75, 28, 42]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76 (see above)
- linear OA(2736, 63, F27, 32) (dual of [63, 27, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2736, 64, F27, 32) (dual of [64, 28, 33]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(2736, 64, F27, 32) (dual of [64, 28, 33]-code), 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
None.