Information on Result #1197856
Digital (36, 51, 2817)-net over F27, using net defined by OOA based on linear OOA(2751, 2817, F27, 15, 15) (dual of [(2817, 15), 42204, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2751, 19720, F27, 15) (dual of [19720, 19669, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2751, 19722, F27, 15) (dual of [19722, 19671, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(278, 38, F27, 7) (dual of [38, 30, 8]-code), using
- extended algebraic-geometric code AGe(F,30P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2743, 19684, F27, 15) (dual of [19684, 19641, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(278, 38, F27, 7) (dual of [38, 30, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2751, 19722, F27, 15) (dual of [19722, 19671, 16]-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.