Information on Result #1836637
OOA(8144, 2796234, S8, 3, 19), using (u, u+v)-construction based on
- OOA(815, 33, S8, 3, 9), using
- extracting embedded OOA [i] based on (6, 15, 33)-net in base 8, using
- 1 times m-reduction [i] based on (6, 16, 33)-net in base 8, using
- base change [i] based on digital (2, 12, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- base change [i] based on digital (2, 12, 33)-net over F16, using
- 1 times m-reduction [i] based on (6, 16, 33)-net in base 8, using
- extracting embedded OOA [i] based on (6, 15, 33)-net in base 8, using
- linear OOA(8129, 2796201, F8, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-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.