Information on Result #1186898
Digital (174, 193, 932092)-net over F4, using net defined by OOA based on linear OOA(4193, 932092, F4, 21, 19) (dual of [(932092, 21), 19573739, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4193, 2796277, F4, 3, 19) (dual of [(2796277, 3), 8388638, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(424, 76, F4, 3, 9) (dual of [(76, 3), 204, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 24, 76)-net over F4, using
- trace code for nets [i] based on digital (3, 12, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- trace code for nets [i] based on digital (3, 12, 38)-net over F16, using
- extracting embedded OOA [i] based on digital (15, 24, 76)-net over F4, using
- linear OOA(4169, 2796201, F4, 3, 19) (dual of [(2796201, 3), 8388434, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- linear OOA(424, 76, F4, 3, 9) (dual of [(76, 3), 204, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
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.