Information on Result #1180630
Digital (216, 229, 2796707)-net over F2, using net defined by OOA based on linear OOA(2229, 2796707, F2, 18, 13) (dual of [(2796707, 18), 50340497, 14]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2229, 2796708, F2, 6, 13) (dual of [(2796708, 6), 16780019, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(264, 2097149, F2, 6, 6) (dual of [(2097149, 6), 12582830, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- linear OOA(2165, 1398354, F2, 6, 13) (dual of [(1398354, 6), 8389959, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(226, 254, F2, 6, 6) (dual of [(254, 6), 1498, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(226, 255, F2, 3, 6) (dual of [(255, 3), 739, 7]-NRT-code), using
- strength reduction [i] based on linear OOA(226, 255, F2, 3, 7) (dual of [(255, 3), 739, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(226, 255, F2, 3, 6) (dual of [(255, 3), 739, 7]-NRT-code), using
- linear OOA(2139, 1398100, F2, 6, 13) (dual of [(1398100, 6), 8388461, 14]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- linear OOA(226, 254, F2, 6, 6) (dual of [(254, 6), 1498, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(264, 2097149, F2, 6, 6) (dual of [(2097149, 6), 12582830, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.