Information on Result #1187100
Digital (180, 201, 838866)-net over F4, using net defined by OOA based on linear OOA(4201, 838866, F4, 22, 21) (dual of [(838866, 22), 18454851, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4201, 4194331, F4, 2, 21) (dual of [(4194331, 2), 8388461, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4201, 4194335, F4, 2, 21) (dual of [(4194335, 2), 8388469, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(420, 34, F4, 2, 10) (dual of [(34, 2), 48, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 20, 34)-net over F4, using
- trace code for nets [i] based on digital (0, 10, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- trace code for nets [i] based on digital (0, 10, 17)-net over F16, using
- extracting embedded OOA [i] based on digital (10, 20, 34)-net over F4, using
- linear OOA(4181, 4194301, F4, 2, 21) (dual of [(4194301, 2), 8388421, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- OOA 2-folding [i] based on linear OA(4181, 8388602, F4, 21) (dual of [8388602, 8388421, 22]-code), using
- linear OOA(420, 34, F4, 2, 10) (dual of [(34, 2), 48, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4201, 4194335, F4, 2, 21) (dual of [(4194335, 2), 8388469, 22]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.