Information on Result #2807378
Linear OOA(12861, 2097151, F128, 4, 15) (dual of [(2097151, 4), 8388543, 16]-NRT-code), using 1282 times duplication based on linear OOA(12859, 2097151, F128, 4, 15) (dual of [(2097151, 4), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(12859, 4194302, F128, 2, 15) (dual of [(4194302, 2), 8388545, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12857, 4194301, F128, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12857, 8388602, F128, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(12857, 8388602, F128, 15) (dual of [8388602, 8388545, 16]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(12857, 4194301, F128, 2, 15) (dual of [(4194301, 2), 8388545, 16]-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.