Information on Result #648517
Linear OA(27102, 123, F27, 75) (dual of [123, 21, 76]-code), using construction X applied to AG(F,11P) ⊂ AG(F,29P) based on
- linear OA(2784, 87, F27, 75) (dual of [87, 3, 76]-code), using algebraic-geometric code AG(F,11P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- linear OA(2766, 87, F27, 57) (dual of [87, 21, 58]-code), using algebraic-geometric code AG(F,29P) [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88 (see above)
- linear OA(2718, 36, F27, 17) (dual of [36, 18, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2718, 38, F27, 17) (dual of [38, 20, 18]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2718, 38, F27, 17) (dual of [38, 20, 18]-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.