Information on Result #2478470
Linear OOA(2187, 4194429, F2, 2, 15) (dual of [(4194429, 2), 8388671, 16]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2185, 4194428, F2, 2, 15) (dual of [(4194428, 2), 8388671, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(223, 127, F2, 2, 7) (dual of [(127, 2), 231, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 23, 127)-net over F2, using
- 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
- linear OOA(223, 127, F2, 2, 7) (dual of [(127, 2), 231, 8]-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.
Other Results with Identical Parameters
None.
Depending Results
None.