Information on Result #1196684
Digital (67, 86, 43410)-net over F25, using net defined by OOA based on linear OOA(2586, 43410, F25, 19, 19) (dual of [(43410, 19), 824704, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2586, 390691, F25, 19) (dual of [390691, 390605, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2586, 390692, F25, 19) (dual of [390692, 390606, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2513, 66, F25, 9) (dual of [66, 53, 10]-code), using
- extended algebraic-geometric code AGe(F,56P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2573, 390626, F25, 19) (dual of [390626, 390553, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2513, 66, F25, 9) (dual of [66, 53, 10]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2586, 390692, F25, 19) (dual of [390692, 390606, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.