Information on Result #1755215
Digital (184, 199, 2099198)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2199, 2099198, F2, 4, 15) (dual of [(2099198, 4), 8396593, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(235, 2047, F2, 4, 7) (dual of [(2047, 4), 8153, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (28, 35, 2047)-net over F2, using
- linear OOA(2164, 2097151, F2, 4, 15) (dual of [(2097151, 4), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2164, 4194302, F2, 2, 15) (dual of [(4194302, 2), 8388440, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2164, 4194302, F2, 2, 15) (dual of [(4194302, 2), 8388440, 16]-NRT-code), using
- linear OOA(235, 2047, F2, 4, 7) (dual of [(2047, 4), 8153, 8]-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.