Information on Result #2797994
Linear OOA(3215, 4194302, F3, 4, 15) (dual of [(4194302, 4), 16776993, 16]-NRT-code), using 32 times duplication based on linear OOA(3213, 4194302, F3, 4, 15) (dual of [(4194302, 4), 16776995, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(361, 2796200, F3, 4, 7) (dual of [(2796200, 4), 11184739, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(361, 8388601, F3, 7) (dual of [8388601, 8388540, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(361, 8388601, F3, 7) (dual of [8388601, 8388540, 8]-code), using
- linear OOA(3152, 2097151, F3, 4, 15) (dual of [(2097151, 4), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3152, 4194302, F3, 2, 15) (dual of [(4194302, 2), 8388452, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- OOA 2-folding [i] based on linear OA(3150, 8388602, F3, 15) (dual of [8388602, 8388452, 16]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3150, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3152, 4194302, F3, 2, 15) (dual of [(4194302, 2), 8388452, 16]-NRT-code), using
- linear OOA(361, 2796200, F3, 4, 7) (dual of [(2796200, 4), 11184739, 8]-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.