Information on Result #1188094
Digital (39, 44, 8388602)-net over F5, using net defined by OOA based on linear OOA(544, 8388602, F5, 6, 5) (dual of [(8388602, 6), 50331568, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(544, large, F5, 2, 5), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(542, 8388602, F5, 2, 5) (dual of [(8388602, 2), 16777162, 6]-NRT-code), using
- trace code [i] based on linear OOA(2521, 4194301, F25, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, 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(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- OOA 2-folding [i] based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
- trace code [i] based on linear OOA(2521, 4194301, F25, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(542, 8388602, F5, 2, 5) (dual of [(8388602, 2), 16777162, 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.