Information on Result #2699199
Linear OOA(8105, 5592562, F8, 3, 12) (dual of [(5592562, 3), 16777581, 13]-NRT-code), using 81 times duplication based on linear OOA(8104, 5592562, F8, 3, 12) (dual of [(5592562, 3), 16777582, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 160, F8, 3, 6) (dual of [(160, 3), 466, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 14, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 7, 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, 7, 80)-net over F64, using
- extracting embedded OOA [i] based on digital (8, 14, 160)-net over F8, using
- linear OOA(890, 5592402, F8, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- linear OOA(814, 160, F8, 3, 6) (dual of [(160, 3), 466, 7]-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.