Information on Result #1014302
Linear OOA(873, 5592467, F8, 3, 9) (dual of [(5592467, 3), 16777328, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(87, 65, F8, 3, 4) (dual of [(65, 3), 188, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 7, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(3,64) in PG(6,8)) for nets [i] based on digital (0, 4, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base reduction for projective spaces (embedding PG(3,64) in PG(6,8)) for nets [i] based on digital (0, 4, 65)-net over F64, using
- extracting embedded OOA [i] based on digital (3, 7, 65)-net over F8, using
- linear OOA(866, 5592402, F8, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
- trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
- trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-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.
Other Results with Identical Parameters
None.
Depending Results
None.