Information on Result #1191678
Digital (84, 97, 1398108)-net over F8, using net defined by OOA based on linear OOA(897, 1398108, F8, 15, 13) (dual of [(1398108, 15), 20971523, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(897, 2796217, F8, 3, 13) (dual of [(2796217, 3), 8388554, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(897, 2796218, F8, 3, 13) (dual of [(2796218, 3), 8388557, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(88, 17, F8, 3, 6) (dual of [(17, 3), 43, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OOA(889, 2796201, F8, 3, 13) (dual of [(2796201, 3), 8388514, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(889, large, F8, 13) (dual of [large, large−89, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(889, large, F8, 13) (dual of [large, large−89, 14]-code), using
- linear OOA(88, 17, F8, 3, 6) (dual of [(17, 3), 43, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(897, 2796218, F8, 3, 13) (dual of [(2796218, 3), 8388557, 14]-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.