Information on Result #1186038
Digital (72, 81, 2097192)-net over F4, using net defined by OOA based on linear OOA(481, 2097192, F4, 10, 9) (dual of [(2097192, 10), 20971839, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(481, 4194385, F4, 2, 9) (dual of [(4194385, 2), 8388689, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(481, 4194386, F4, 2, 9) (dual of [(4194386, 2), 8388691, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(48, 85, F4, 2, 4) (dual of [(85, 2), 162, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 85)-net over F4, using
- linear OOA(473, 4194301, F4, 2, 9) (dual of [(4194301, 2), 8388529, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(473, 8388602, F4, 9) (dual of [8388602, 8388529, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- OOA 2-folding [i] based on linear OA(473, 8388602, F4, 9) (dual of [8388602, 8388529, 10]-code), using
- linear OOA(48, 85, F4, 2, 4) (dual of [(85, 2), 162, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(481, 4194386, F4, 2, 9) (dual of [(4194386, 2), 8388691, 10]-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.