Information on Result #1203736
Digital (57, 74, 1048649)-net over F128, using net defined by OOA based on linear OOA(12874, 1048649, F128, 20, 17) (dual of [(1048649, 20), 20972906, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12874, 2097299, F128, 4, 17) (dual of [(2097299, 4), 8389122, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12874, 2097300, F128, 4, 17) (dual of [(2097300, 4), 8389126, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1289, 150, F128, 4, 8) (dual of [(150, 4), 591, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,591P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12865, 2097150, F128, 4, 17) (dual of [(2097150, 4), 8388535, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12865, 8388600, F128, 17) (dual of [8388600, 8388535, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12865, large, F128, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, 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(12865, large, F128, 17) (dual of [large, large−65, 18]-code), using
- OOA 4-folding [i] based on linear OA(12865, 8388600, F128, 17) (dual of [8388600, 8388535, 18]-code), using
- linear OOA(1289, 150, F128, 4, 8) (dual of [(150, 4), 591, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12874, 2097300, F128, 4, 17) (dual of [(2097300, 4), 8389126, 18]-NRT-code), using
Mode: Constructive and 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.