Information on Result #1836649
OOA(8172, 5592440, S8, 3, 20), using (u, u+v)-construction based on
- OOA(818, 38, S8, 3, 10), using
- extracting embedded OOA [i] based on (8, 18, 38)-net in base 8, using
- 2 times m-reduction [i] based on (8, 20, 38)-net in base 8, using
- base change [i] based on digital (3, 15, 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, 15, 38)-net over F16, using
- 2 times m-reduction [i] based on (8, 20, 38)-net in base 8, using
- extracting embedded OOA [i] based on (8, 18, 38)-net in base 8, using
- linear OOA(8154, 5592402, F8, 3, 20) (dual of [(5592402, 3), 16777052, 21]-NRT-code), using
- trace code [i] based on linear OOA(6477, 2796201, F64, 3, 20) (dual of [(2796201, 3), 8388526, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- OOA 3-folding [i] based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- trace code [i] based on linear OOA(6477, 2796201, F64, 3, 20) (dual of [(2796201, 3), 8388526, 21]-NRT-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.