Information on Result #1712320
Digital (56, 63, 4194301)-net over F3, using net defined by OOA based on linear OOA(363, 4194301, F3, 9, 7) (dual of [(4194301, 9), 37748646, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(363, 4194302, F3, 3, 7) (dual of [(4194302, 3), 12582843, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(363, 4194302, F3, 2, 7) (dual of [(4194302, 2), 8388541, 8]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(361, 4194301, F3, 2, 7) (dual of [(4194301, 2), 8388541, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 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 2-folding [i] based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(361, 4194301, F3, 2, 7) (dual of [(4194301, 2), 8388541, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(363, 4194302, F3, 2, 7) (dual of [(4194302, 2), 8388541, 8]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.