Information on Result #1197894
Digital (87, 102, 2097150)-net over F27, using net defined by OOA based on linear OOA(27102, 2097150, F27, 18, 15) (dual of [(2097150, 18), 37748598, 16]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(27102, 8388601, F27, 2, 15) (dual of [(8388601, 2), 16777100, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27102, 8388602, F27, 2, 15) (dual of [(8388602, 2), 16777102, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2731, 4194301, F27, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2731, 8388602, F27, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2731, large, F27, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, 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(2731, large, F27, 7) (dual of [large, large−31, 8]-code), using
- OOA 2-folding [i] based on linear OA(2731, 8388602, F27, 7) (dual of [8388602, 8388571, 8]-code), using
- linear OOA(2771, 4194301, F27, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2771, 8388602, F27, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2771, large, F27, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, 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(2771, large, F27, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(2771, 8388602, F27, 15) (dual of [8388602, 8388531, 16]-code), using
- linear OOA(2731, 4194301, F27, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(27102, 8388602, F27, 2, 15) (dual of [(8388602, 2), 16777102, 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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.