Information on Result #1191004
Digital (31, 36, 8388602)-net over F8, using net defined by OOA based on linear OOA(836, 8388602, F8, 6, 5) (dual of [(8388602, 6), 50331576, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(836, large, F8, 2, 5), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(834, 8388602, F8, 2, 5) (dual of [(8388602, 2), 16777170, 6]-NRT-code), using
- trace code [i] based on linear OOA(6417, 4194301, F64, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6417, 8388602, F64, 5) (dual of [8388602, 8388585, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6417, large, F64, 5) (dual of [large, large−17, 6]-code), using
- OOA 2-folding [i] based on linear OA(6417, 8388602, F64, 5) (dual of [8388602, 8388585, 6]-code), using
- trace code [i] based on linear OOA(6417, 4194301, F64, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(834, 8388602, F8, 2, 5) (dual of [(8388602, 2), 16777170, 6]-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.