Information on Result #1709224
Digital (199, 213, 2919539)-net over F2, using net defined by OOA based on linear OOA(2213, 2919539, F2, 21, 14) (dual of [(2919539, 21), 61310106, 15]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2213, 2919540, F2, 7, 14) (dual of [(2919540, 7), 20436567, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2213, 2919540, F2, 2, 14) (dual of [(2919540, 2), 5838867, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2213, 4259837, F2, 2, 14) (dual of [(4259837, 2), 8519461, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2211, 4259836, F2, 2, 14) (dual of [(4259836, 2), 8519461, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(250, 65535, F2, 2, 7) (dual of [(65535, 2), 131020, 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(2211, 4259836, F2, 2, 14) (dual of [(4259836, 2), 8519461, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2213, 4259837, F2, 2, 14) (dual of [(4259837, 2), 8519461, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2213, 2919540, F2, 2, 14) (dual of [(2919540, 2), 5838867, 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.