Information on Result #1836697
OOA(9126, 5592440, S9, 3, 15), using (u, u+v)-construction based on
- OOA(912, 38, S9, 3, 7), using
- extracting embedded OOA [i] based on (5, 12, 38)-net in base 9, using
- base change [i] based on digital (1, 8, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- base change [i] based on digital (1, 8, 38)-net over F27, using
- extracting embedded OOA [i] based on (5, 12, 38)-net in base 9, using
- linear OOA(9114, 5592402, F9, 3, 15) (dual of [(5592402, 3), 16777092, 16]-NRT-code), using
- trace code [i] based on linear OOA(8157, 2796201, F81, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- trace code [i] based on linear OOA(8157, 2796201, F81, 3, 15) (dual of [(2796201, 3), 8388546, 16]-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.