Information on Result #1202518
Digital (36, 51, 75934)-net over F81, using net defined by OOA based on linear OOA(8151, 75934, F81, 15, 15) (dual of [(75934, 15), 1138959, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8151, 531539, F81, 15) (dual of [531539, 531488, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 531542, F81, 15) (dual of [531542, 531491, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(818, 100, F81, 7) (dual of [100, 92, 8]-code), using
- extended algebraic-geometric code AGe(F,92P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(8143, 531442, F81, 15) (dual of [531442, 531399, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(818, 100, F81, 7) (dual of [100, 92, 8]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(8151, 531542, F81, 15) (dual of [531542, 531491, 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.