Information on Result #2694929
Linear OOA(5136, 4194302, F5, 3, 14) (dual of [(4194302, 3), 12582770, 15]-NRT-code), using 51 times duplication based on linear OOA(5135, 4194302, F5, 3, 14) (dual of [(4194302, 3), 12582771, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [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.