Information on Result #1196536
Digital (45, 62, 1970)-net over F25, using net defined by OOA based on linear OOA(2562, 1970, F25, 18, 17) (dual of [(1970, 18), 35398, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2562, 7881, F25, 2, 17) (dual of [(7881, 2), 15700, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2562, 7882, F25, 2, 17) (dual of [(7882, 2), 15702, 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(2550, 7816, F25, 2, 17) (dual of [(7816, 2), 15582, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2550, 15632, F25, 17) (dual of [15632, 15582, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2550, 15633, F25, 17) (dual of [15633, 15583, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(2549, 15626, F25, 17) (dual of [15626, 15577, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2543, 15626, F25, 15) (dual of [15626, 15583, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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(2550, 15633, F25, 17) (dual of [15633, 15583, 18]-code), using
- OOA 2-folding [i] based on linear OA(2550, 15632, F25, 17) (dual of [15632, 15582, 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(2562, 7882, F25, 2, 17) (dual of [(7882, 2), 15702, 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.