Information on Result #1713868
Digital (158, 175, 1398103)-net over F3, using net defined by OOA based on linear OOA(3175, 1398103, F3, 20, 17) (dual of [(1398103, 20), 27961885, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3175, 2796207, F3, 4, 17) (dual of [(2796207, 4), 11184653, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3175, 2796208, F3, 4, 17) (dual of [(2796208, 4), 11184657, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3175, 2796208, F3, 3, 17) (dual of [(2796208, 3), 8388449, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(39, 7, F3, 3, 8) (dual of [(7, 3), 12, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- linear OOA(3166, 2796201, F3, 3, 17) (dual of [(2796201, 3), 8388437, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- OOA 3-folding [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- linear OOA(39, 7, F3, 3, 8) (dual of [(7, 3), 12, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3175, 2796208, F3, 3, 17) (dual of [(2796208, 3), 8388449, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3175, 2796208, F3, 4, 17) (dual of [(2796208, 4), 11184657, 18]-NRT-code), using
Mode: 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.