Information on Result #1831623
OOA(8153, 4194334, S8, 2, 20), using (u, u+v)-construction based on
- OOA(816, 33, S8, 2, 10), using
- extracting embedded OOA [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
- extracting embedded OOA [i] based on (6, 16, 33)-net in base 8, using
- linear OOA(8137, 4194301, F8, 2, 20) (dual of [(4194301, 2), 8388465, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F8, 20) (dual of [8388602, 8388465, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F8, 20) (dual of [8388602, 8388465, 21]-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.