Information on Result #1753517
Digital (161, 174, 2174297)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2174, 2174297, F2, 3, 13) (dual of [(2174297, 3), 6522717, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2174, 2798248, F2, 3, 13) (dual of [(2798248, 3), 8394570, 14]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2173, 2798248, F2, 3, 13) (dual of [(2798248, 3), 8394571, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(234, 2047, F2, 3, 6) (dual of [(2047, 3), 6107, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-net over F2, using
- 1 times m-reduction [i] based on digital (28, 35, 2047)-net over F2, using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-net over F2, using
- linear OOA(2139, 2796201, F2, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- linear OOA(234, 2047, F2, 3, 6) (dual of [(2047, 3), 6107, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- 21 times duplication [i] based on linear OOA(2173, 2798248, F2, 3, 13) (dual of [(2798248, 3), 8394571, 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.