Information on Result #2699536
Linear OOA(8159, 5592562, F8, 3, 18) (dual of [(5592562, 3), 16777527, 19]-NRT-code), using 81 times duplication based on linear OOA(8158, 5592562, F8, 3, 18) (dual of [(5592562, 3), 16777528, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(820, 160, F8, 3, 9) (dual of [(160, 3), 460, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 20, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 10, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- trace code for nets [i] based on digital (1, 10, 80)-net over F64, using
- extracting embedded OOA [i] based on digital (11, 20, 160)-net over F8, using
- linear OOA(8138, 5592402, F8, 3, 18) (dual of [(5592402, 3), 16777068, 19]-NRT-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- linear OOA(820, 160, F8, 3, 9) (dual of [(160, 3), 460, 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.