Information on Result #1235140
Linear OOA(3152, 3355447, F3, 5, 11) (dual of [(3355447, 5), 16777083, 12]-NRT-code), using extracting embedded OOA based on digital (141, 152, 3355447)-net over F3, using
- (u, u+v)-construction [i] based on
- digital (1, 6, 7)-net over F3, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- digital (135, 146, 3355440)-net over F3, using
- trace code for nets [i] based on digital (62, 73, 1677720)-net over F9, using
- net defined by OOA [i] based on linear OOA(973, 1677720, F9, 11, 11) (dual of [(1677720, 11), 18454847, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(973, 8388601, F9, 11) (dual of [8388601, 8388528, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(973, large, F9, 11) (dual of [large, large−73, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(973, 8388601, F9, 11) (dual of [8388601, 8388528, 12]-code), using
- net defined by OOA [i] based on linear OOA(973, 1677720, F9, 11, 11) (dual of [(1677720, 11), 18454847, 12]-NRT-code), using
- trace code for nets [i] based on digital (62, 73, 1677720)-net over F9, using
- digital (1, 6, 7)-net over F3, 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.