Information on Result #1198148
Digital (49, 68, 2194)-net over F27, using net defined by OOA based on linear OOA(2768, 2194, F27, 19, 19) (dual of [(2194, 19), 41618, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2768, 19747, F27, 19) (dual of [19747, 19679, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2768, 19748, F27, 19) (dual of [19748, 19680, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2713, 64, F27, 9) (dual of [64, 51, 10]-code), using
- extended algebraic-geometric code AGe(F,54P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- linear OA(2755, 19684, F27, 19) (dual of [19684, 19629, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2713, 64, F27, 9) (dual of [64, 51, 10]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2768, 19748, F27, 19) (dual of [19748, 19680, 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.