Information on Result #1685607
Linear OOA(2207, 1655829, F2, 7, 17) (dual of [(1655829, 7), 11590596, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2207, 1655829, F2, 5, 17) (dual of [(1655829, 5), 8278938, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2207, 1677759, F2, 5, 17) (dual of [(1677759, 5), 8388588, 18]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2206, 1677759, F2, 5, 17) (dual of [(1677759, 5), 8388589, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 39, F2, 5, 8) (dual of [(39, 5), 174, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F2, using
- linear OOA(2185, 1677720, F2, 5, 17) (dual of [(1677720, 5), 8388415, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2185, large, F2, 17) (dual of [large, large−185, 18]-code), using
- OOA 5-folding [i] based on linear OA(2185, 8388600, F2, 17) (dual of [8388600, 8388415, 18]-code), using
- linear OOA(221, 39, F2, 5, 8) (dual of [(39, 5), 174, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- 21 times duplication [i] based on linear OOA(2206, 1677759, F2, 5, 17) (dual of [(1677759, 5), 8388589, 18]-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.
Other Results with Identical Parameters
None.
Depending Results
None.