Information on Result #1013271
Linear OOA(5149, 4194359, F5, 3, 14) (dual of [(4194359, 3), 12582928, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(517, 58, F5, 3, 7) (dual of [(58, 3), 157, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,5) [i]
- linear OOA(514, 52, F5, 3, 7) (dual of [(52, 3), 142, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 7, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- trace code for nets [i] based on digital (0, 7, 26)-net over F25, using
- extracting embedded OOA [i] based on digital (7, 14, 52)-net over F5, using
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(5132, 4194301, F5, 3, 14) (dual of [(4194301, 3), 12582771, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(5132, 8388602, F5, 2, 14) (dual of [(8388602, 2), 16777072, 15]-NRT-code), using
- trace code [i] based on linear OOA(2566, 4194301, F25, 2, 14) (dual of [(4194301, 2), 8388536, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2566, 8388602, F25, 14) (dual of [8388602, 8388536, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2566, large, F25, 14) (dual of [large, large−66, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2566, large, F25, 14) (dual of [large, large−66, 15]-code), using
- OOA 2-folding [i] based on linear OA(2566, 8388602, F25, 14) (dual of [8388602, 8388536, 15]-code), using
- trace code [i] based on linear OOA(2566, 4194301, F25, 2, 14) (dual of [(4194301, 2), 8388536, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(5132, 8388602, F5, 2, 14) (dual of [(8388602, 2), 16777072, 15]-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.