Information on Result #1709250
Digital (214, 228, 6291452)-net over F2, using net defined by OOA based on linear OOA(2228, 6291452, F2, 21, 14) (dual of [(6291452, 21), 132120264, 15]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2228, 6291453, F2, 7, 14) (dual of [(6291453, 7), 44039943, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2228, 6291453, F2, 2, 14) (dual of [(6291453, 2), 12582678, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2226, 6291452, F2, 2, 14) (dual of [(6291452, 2), 12582678, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(265, 2097151, F2, 2, 7) (dual of [(2097151, 2), 4194237, 8]-NRT-code), 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
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2226, 6291452, F2, 2, 14) (dual of [(6291452, 2), 12582678, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2228, 6291453, F2, 2, 14) (dual of [(6291453, 2), 12582678, 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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.