Information on Result #1013270
Linear OOA(5148, 4194355, F5, 3, 14) (dual of [(4194355, 3), 12582917, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(516, 54, F5, 3, 7) (dual of [(54, 3), 146, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 16, 54)-net over F5, using
- trace code for nets [i] based on digital (1, 8, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- trace code for nets [i] based on digital (1, 8, 27)-net over F25, using
- extracting embedded OOA [i] based on digital (9, 16, 54)-net over F5, using
- 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.