Information on Result #1708956
Digital (193, 206, 6265954)-net over F2, using net defined by OOA based on linear OOA(2206, 6265954, F2, 18, 13) (dual of [(6265954, 18), 112786966, 14]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2206, 6265955, F2, 6, 13) (dual of [(6265955, 6), 37595524, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2206, 6265955, F2, 2, 13) (dual of [(6265955, 2), 12531704, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2206, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776998, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(267, 4194303, F2, 2, 6) (dual of [(4194303, 2), 8388539, 7]-NRT-code), using
- linear OOA(2139, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388463, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2206, 8388602, F2, 2, 13) (dual of [(8388602, 2), 16776998, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2206, 6265955, F2, 2, 13) (dual of [(6265955, 2), 12531704, 14]-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.