Information on Result #1194188
Digital (93, 112, 118099)-net over F9, using net defined by OOA based on linear OOA(9112, 118099, F9, 19, 19) (dual of [(118099, 19), 2243769, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(9112, 1062892, F9, 19) (dual of [1062892, 1062780, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9112, 1062898, F9, 19) (dual of [1062898, 1062786, 20]-code), using
- trace code [i] based on linear OA(8156, 531449, F81, 19) (dual of [531449, 531393, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(8155, 531442, F81, 19) (dual of [531442, 531387, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(8149, 531442, F81, 17) (dual of [531442, 531393, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- trace code [i] based on linear OA(8156, 531449, F81, 19) (dual of [531449, 531393, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9112, 1062898, F9, 19) (dual of [1062898, 1062786, 20]-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.