Information on Result #2798266
Linear OOA(3187, 2097152, F3, 4, 18) (dual of [(2097152, 4), 8388421, 19]-NRT-code), using 31 times duplication based on linear OOA(3186, 2097152, F3, 4, 18) (dual of [(2097152, 4), 8388422, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3182, 2097151, F3, 4, 18) (dual of [(2097151, 4), 8388422, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3182, 4194302, F3, 2, 18) (dual of [(4194302, 2), 8388422, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3180, 4194301, F3, 2, 18) (dual of [(4194301, 2), 8388422, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3180, 8388602, F3, 18) (dual of [8388602, 8388422, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- OOA 2-folding [i] based on linear OA(3180, 8388602, F3, 18) (dual of [8388602, 8388422, 19]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3180, 4194301, F3, 2, 18) (dual of [(4194301, 2), 8388422, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3182, 4194302, F3, 2, 18) (dual of [(4194302, 2), 8388422, 19]-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.