Information on Result #2852105
Linear OOA(3145, 1678048, F3, 5, 12) (dual of [(1678048, 5), 8390095, 13]-NRT-code), using strength reduction based on linear OOA(3145, 1678048, F3, 5, 13) (dual of [(1678048, 5), 8390095, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(324, 328, F3, 5, 6) (dual of [(328, 5), 1616, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 24, 328)-net over F3, 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 (18, 24, 328)-net over F3, using
- linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 5-folding [i] based on linear OA(3121, 8388600, F3, 13) (dual of [8388600, 8388479, 14]-code), using
- linear OOA(324, 328, F3, 5, 6) (dual of [(328, 5), 1616, 7]-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.