Information on Result #1205129
Digital (200, 212, 5592646)-net over F3, using trace code for nets based on digital (94, 106, 2796323)-net over F9, using
- net defined by OOA [i] based on linear OOA(9106, 2796323, F9, 15, 12) (dual of [(2796323, 15), 41944739, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(9106, 5592647, F9, 3, 12) (dual of [(5592647, 3), 16777835, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9106, 5592648, F9, 3, 12) (dual of [(5592648, 3), 16777838, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(916, 246, F9, 3, 6) (dual of [(246, 3), 722, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(94, 82, F9, 3, 3) (dual of [(82, 3), 242, 4]-NRT-code), using
- linear OOA(912, 164, F9, 3, 6) (dual of [(164, 3), 480, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, using
- trace code for nets [i] based on digital (0, 6, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- trace code for nets [i] based on digital (0, 6, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (6, 12, 164)-net over F9, using
- (u, u+v)-construction [i] based on
- linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- linear OOA(916, 246, F9, 3, 6) (dual of [(246, 3), 722, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(9106, 5592648, F9, 3, 12) (dual of [(5592648, 3), 16777838, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(9106, 5592647, F9, 3, 12) (dual of [(5592647, 3), 16777835, 13]-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.