Information on Result #2767712
Linear OOA(2251, 4194428, F2, 4, 14) (dual of [(4194428, 4), 16777461, 15]-NRT-code), using strength reduction based on linear OOA(2251, 4194428, F2, 4, 15) (dual of [(4194428, 4), 16777461, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(268, 4194302, F2, 4, 7) (dual of [(4194302, 4), 16777140, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(268, 4194303, F2, 3, 7) (dual of [(4194303, 3), 12582841, 8]-NRT-code), using
- linear OOA(2183, 2097214, F2, 4, 15) (dual of [(2097214, 4), 8388673, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 64, F2, 4, 7) (dual of [(64, 4), 235, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 21, 64)-net over F2, using
- linear OOA(2162, 2097150, F2, 4, 15) (dual of [(2097150, 4), 8388438, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 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 4-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- linear OOA(221, 64, F2, 4, 7) (dual of [(64, 4), 235, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(268, 4194302, F2, 4, 7) (dual of [(4194302, 4), 16777140, 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.