Information on Result #648006
Linear OA(27100, 131, F27, 67) (dual of [131, 31, 68]-code), using construction X applied to AG(F,13P) ⊂ AG(F,37P) based on
- linear OA(2774, 81, F27, 67) (dual of [81, 7, 68]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2750, 81, F27, 43) (dual of [81, 31, 44]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82 (see above)
- linear OA(2726, 50, F27, 23) (dual of [50, 24, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2726, 52, F27, 23) (dual of [52, 26, 24]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2726, 52, F27, 23) (dual of [52, 26, 24]-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.