Information on Result #1186780
Digital (156, 174, 932074)-net over F4, using net defined by OOA based on linear OOA(4174, 932074, F4, 21, 18) (dual of [(932074, 21), 19573380, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4174, 2796223, F4, 3, 18) (dual of [(2796223, 3), 8388495, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4174, 2796225, F4, 3, 18) (dual of [(2796225, 3), 8388501, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(417, 24, F4, 3, 9) (dual of [(24, 3), 55, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(45, 10, F4, 3, 4) (dual of [(10, 3), 25, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 10)-net over F4, using
- linear OOA(412, 14, F4, 3, 9) (dual of [(14, 3), 30, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(45, 10, F4, 3, 4) (dual of [(10, 3), 25, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(4157, 2796201, F4, 3, 18) (dual of [(2796201, 3), 8388446, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- linear OOA(417, 24, F4, 3, 9) (dual of [(24, 3), 55, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4174, 2796225, F4, 3, 18) (dual of [(2796225, 3), 8388501, 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.