Information on Result #1703455
Linear OOA(2216, 3527069, F2, 8, 14) (dual of [(3527069, 8), 28216336, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2216, 3527069, F2, 2, 14) (dual of [(3527069, 2), 7053922, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2216, 4325373, F2, 2, 14) (dual of [(4325373, 2), 8650530, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2214, 4325372, F2, 2, 14) (dual of [(4325372, 2), 8650530, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(253, 131071, F2, 2, 7) (dual of [(131071, 2), 262089, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (46, 53, 131071)-net over F2, using
- linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- linear OOA(253, 131071, F2, 2, 7) (dual of [(131071, 2), 262089, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2214, 4325372, F2, 2, 14) (dual of [(4325372, 2), 8650530, 15]-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.
Other Results with Identical Parameters
None.
Depending Results
None.