Information on Result #1013795
Linear OOA(790, 5592502, F7, 3, 9) (dual of [(5592502, 3), 16777416, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(78, 100, F7, 3, 4) (dual of [(100, 3), 292, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 100)-net over F7, using
- trace code for nets [i] based on digital (0, 4, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- trace code for nets [i] based on digital (0, 4, 50)-net over F49, using
- extracting embedded OOA [i] based on digital (4, 8, 100)-net over F7, using
- linear OOA(782, 5592402, F7, 3, 9) (dual of [(5592402, 3), 16777124, 10]-NRT-code), using
- trace code [i] based on linear OOA(4941, 2796201, F49, 3, 9) (dual of [(2796201, 3), 8388562, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- trace code [i] based on linear OOA(4941, 2796201, F49, 3, 9) (dual of [(2796201, 3), 8388562, 10]-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.
Other Results with Identical Parameters
None.
Depending Results
None.