Information on Result #1181752
Digital (199, 218, 932068)-net over F2, using net defined by OOA based on linear OOA(2218, 932068, F2, 21, 19) (dual of [(932068, 21), 19573210, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2218, 2796205, F2, 3, 19) (dual of [(2796205, 3), 8388397, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2218, 2796206, F2, 3, 19) (dual of [(2796206, 3), 8388400, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2208, 2796201, F2, 3, 19) (dual of [(2796201, 3), 8388395, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2218, 2796206, F2, 3, 19) (dual of [(2796206, 3), 8388400, 20]-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.