Information on Result #1831740
OOA(2781, 4194383, S27, 2, 15), using (u, u+v)-construction based on
- OOA(2710, 82, S27, 2, 7), using
- extracting embedded OOA [i] based on (3, 10, 82)-net in base 27, using
- 2 times m-reduction [i] based on (3, 12, 82)-net in base 27, using
- base change [i] based on digital (0, 9, 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
- base change [i] based on digital (0, 9, 82)-net over F81, using
- 2 times m-reduction [i] based on (3, 12, 82)-net in base 27, using
- extracting embedded OOA [i] based on (3, 10, 82)-net in base 27, using
- linear OOA(2771, 4194301, F27, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2771, 8388602, F27, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2771, large, F27, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2771, large, F27, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(2771, 8388602, F27, 15) (dual of [8388602, 8388531, 16]-code), using
Mode: Constructive.
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.