Information on Result #2874117
Linear OOA(3172, 1677804, F3, 5, 15) (dual of [(1677804, 5), 8388848, 16]-NRT-code), using 31 times duplication based on linear OOA(3171, 1677804, F3, 5, 15) (dual of [(1677804, 5), 8388849, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(321, 84, F3, 5, 7) (dual of [(84, 5), 399, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 21, 84)-net over F3, using
- trace code for nets [i] based on digital (0, 7, 28)-net over F27, using
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 0 and N(F) ≥ 28, using
- the rational function field F27(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 27)-sequence over F27, using
- trace code for nets [i] based on digital (0, 7, 28)-net over F27, using
- extracting embedded OOA [i] based on digital (14, 21, 84)-net over F3, using
- linear OOA(3150, 1677720, F3, 5, 15) (dual of [(1677720, 5), 8388450, 16]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 5-folding [i] based on linear OA(3150, 8388600, F3, 15) (dual of [8388600, 8388450, 16]-code), using
- linear OOA(321, 84, F3, 5, 7) (dual of [(84, 5), 399, 8]-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.