Information on Result #1731682
Digital (83, 100, 354299)-net over F9, using net defined by OOA based on linear OOA(9100, 354299, F9, 21, 17) (dual of [(354299, 21), 7440179, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9100, 1062898, F9, 3, 17) (dual of [(1062898, 3), 3188594, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9100, 1062898, F9, 17) (dual of [1062898, 1062798, 18]-code), using
- trace code [i] based on linear OA(8150, 531449, F81, 17) (dual of [531449, 531399, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- 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(8143, 531442, F81, 15) (dual of [531442, 531399, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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([0,8]) ⊂ C([0,7]) [i] based on
- trace code [i] based on linear OA(8150, 531449, F81, 17) (dual of [531449, 531399, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9100, 1062898, F9, 17) (dual of [1062898, 1062798, 18]-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.