Information on Result #1201614
Digital (61, 79, 932093)-net over F64, using net defined by OOA based on linear OOA(6479, 932093, F64, 21, 18) (dual of [(932093, 21), 19573874, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(6479, 2796280, F64, 3, 18) (dual of [(2796280, 3), 8388761, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6479, 2796281, F64, 3, 18) (dual of [(2796281, 3), 8388764, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6410, 80, F64, 3, 9) (dual of [(80, 3), 230, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,230P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- linear OOA(6410, 80, F64, 3, 9) (dual of [(80, 3), 230, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6479, 2796281, F64, 3, 18) (dual of [(2796281, 3), 8388764, 19]-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.