Information on Result #1709252
Digital (215, 229, 8001616)-net over F2, using net defined by OOA based on linear OOA(2229, 8001616, F2, 21, 14) (dual of [(8001616, 21), 168033707, 15]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2229, 8001617, F2, 7, 14) (dual of [(8001617, 7), 56011090, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2229, 8001617, F2, 2, 14) (dual of [(8001617, 2), 16003005, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2229, 8388602, F2, 2, 14) (dual of [(8388602, 2), 16776975, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(268, 4194303, F2, 2, 7) (dual of [(4194303, 2), 8388538, 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
- discarding factors / shortening the dual code based on linear OOA(2229, 8388602, F2, 2, 14) (dual of [(8388602, 2), 16776975, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2229, 8001617, F2, 2, 14) (dual of [(8001617, 2), 16003005, 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.