Information on Result #1203738
Digital (59, 76, 1048670)-net over F128, using net defined by OOA based on linear OOA(12876, 1048670, F128, 20, 17) (dual of [(1048670, 20), 20973324, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12876, 2097341, F128, 4, 17) (dual of [(2097341, 4), 8389288, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12876, 2097342, F128, 4, 17) (dual of [(2097342, 4), 8389292, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12811, 192, F128, 4, 8) (dual of [(192, 4), 757, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,759P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, 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(12811, 192, F128, 4, 8) (dual of [(192, 4), 757, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12876, 2097342, F128, 4, 17) (dual of [(2097342, 4), 8389292, 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.