Information on Result #2874215
Linear OOA(3185, 1678048, F3, 5, 16) (dual of [(1678048, 5), 8390055, 17]-NRT-code), using 32 times duplication based on linear OOA(3183, 1678048, F3, 5, 16) (dual of [(1678048, 5), 8390057, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(332, 328, F3, 5, 8) (dual of [(328, 5), 1608, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 32, 328)-net over F3, using
- trace code for nets [i] based on digital (0, 8, 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, 8, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (24, 32, 328)-net over F3, using
- linear OOA(3151, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388449, 17]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- OOA 5-folding [i] based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 17]-code), using
- linear OOA(332, 328, F3, 5, 8) (dual of [(328, 5), 1608, 9]-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.