Information on Result #1831607
OOA(8127, 4194334, S8, 2, 17), using (u, u+v)-construction based on
- OOA(814, 33, S8, 2, 8), using
- extracting embedded OOA [i] based on (6, 14, 33)-net in base 8, using
- 2 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
- 2 times m-reduction [i] based on (6, 16, 33)-net in base 8, using
- extracting embedded OOA [i] based on (6, 14, 33)-net in base 8, using
- linear OOA(8113, 4194301, F8, 2, 17) (dual of [(4194301, 2), 8388489, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8113, 8388602, F8, 17) (dual of [8388602, 8388489, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- OOA 2-folding [i] based on linear OA(8113, 8388602, F8, 17) (dual of [8388602, 8388489, 18]-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.