Information on Result #1759737
Digital (233, 254, 1300117)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2254, 1300117, F2, 6, 21) (dual of [(1300117, 6), 7800448, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2254, 1398113, F2, 6, 21) (dual of [(1398113, 6), 8388424, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2254, 2796226, F2, 3, 21) (dual of [(2796226, 3), 8388424, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(223, 25, F2, 3, 10) (dual of [(25, 3), 52, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 23, 25)-net over F2, using
- 2 times m-reduction [i] based on digital (13, 25, 25)-net over F2, using
- extracting embedded OOA [i] based on digital (13, 23, 25)-net over F2, using
- linear OOA(2231, 2796201, F2, 3, 21) (dual of [(2796201, 3), 8388372, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- linear OOA(223, 25, F2, 3, 10) (dual of [(25, 3), 52, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA 2-folding [i] based on linear OOA(2254, 2796226, F2, 3, 21) (dual of [(2796226, 3), 8388424, 22]-NRT-code), using
Mode: 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.