Information on Result #1736566
Digital (33, 50, 2464)-net over F25, using net defined by OOA based on linear OOA(2550, 2464, F25, 18, 17) (dual of [(2464, 18), 44302, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2550, 9857, F25, 2, 17) (dual of [(9857, 2), 19664, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2550, 9859, F25, 2, 17) (dual of [(9859, 2), 19668, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2550, 9859, F25, 17) (dual of [9859, 9809, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2550, 15633, F25, 17) (dual of [15633, 15583, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(2549, 15626, F25, 17) (dual of [15626, 15577, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2543, 15626, F25, 15) (dual of [15626, 15583, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2550, 15633, F25, 17) (dual of [15633, 15583, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2550, 9859, F25, 17) (dual of [9859, 9809, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(2550, 9859, F25, 2, 17) (dual of [(9859, 2), 19668, 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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.