Information on Result #1831618
OOA(8145, 4194339, S8, 2, 19), using (u, u+v)-construction based on
- OOA(816, 38, S8, 2, 9), using
- extracting embedded OOA [i] based on (7, 16, 38)-net in base 8, using
- base change [i] based on digital (3, 12, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- base change [i] based on digital (3, 12, 38)-net over F16, using
- extracting embedded OOA [i] based on (7, 16, 38)-net in base 8, using
- linear OOA(8129, 4194301, F8, 2, 19) (dual of [(4194301, 2), 8388473, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F8, 19) (dual of [8388602, 8388473, 20]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F8, 19) (dual of [8388602, 8388473, 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.