Information on Result #1196562
Digital (61, 78, 48845)-net over F25, using net defined by OOA based on linear OOA(2578, 48845, F25, 18, 17) (dual of [(48845, 18), 879132, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2578, 195381, F25, 2, 17) (dual of [(195381, 2), 390684, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2578, 195383, F25, 2, 17) (dual of [(195383, 2), 390688, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,123P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2566, 195317, F25, 2, 17) (dual of [(195317, 2), 390568, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2566, 390634, F25, 17) (dual of [390634, 390568, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2566, 390635, F25, 17) (dual of [390635, 390569, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(2565, 390626, F25, 17) (dual of [390626, 390561, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2557, 390626, F25, 15) (dual of [390626, 390569, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2566, 390635, F25, 17) (dual of [390635, 390569, 18]-code), using
- OOA 2-folding [i] based on linear OA(2566, 390634, F25, 17) (dual of [390634, 390568, 18]-code), using
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2578, 195383, F25, 2, 17) (dual of [(195383, 2), 390688, 18]-NRT-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.