Information on Result #1709482
Digital (177, 192, 2066984)-net over F2, using net defined by OOA based on linear OOA(2192, 2066984, F2, 21, 15) (dual of [(2066984, 21), 43406472, 16]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2192, 2066985, F2, 7, 15) (dual of [(2066985, 7), 14468703, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2192, 2066985, F2, 4, 15) (dual of [(2066985, 4), 8267748, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2192, 2097660, F2, 4, 15) (dual of [(2097660, 4), 8390448, 16]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2191, 2097660, F2, 4, 15) (dual of [(2097660, 4), 8390449, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(229, 510, F2, 4, 7) (dual of [(510, 4), 2011, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(229, 511, F2, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
- linear OOA(2162, 2097150, F2, 4, 15) (dual of [(2097150, 4), 8388438, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 4-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- linear OOA(229, 510, F2, 4, 7) (dual of [(510, 4), 2011, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- 21 times duplication [i] based on linear OOA(2191, 2097660, F2, 4, 15) (dual of [(2097660, 4), 8390449, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2192, 2097660, F2, 4, 15) (dual of [(2097660, 4), 8390448, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2192, 2066985, F2, 4, 15) (dual of [(2066985, 4), 8267748, 16]-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.