Information on Result #1753397
Digital (157, 172, 1597816)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2172, 1597816, F2, 5, 15) (dual of [(1597816, 5), 7988908, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2172, 1677727, F2, 5, 15) (dual of [(1677727, 5), 8388463, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(210, 7, F2, 5, 7) (dual of [(7, 5), 25, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,27P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- linear OOA(2162, 1677720, F2, 5, 15) (dual of [(1677720, 5), 8388438, 16]-NRT-code), using
- OOA 5-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 5-folding [i] based on linear OA(2162, 8388600, F2, 15) (dual of [8388600, 8388438, 16]-code), using
- linear OOA(210, 7, F2, 5, 7) (dual of [(7, 5), 25, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
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.