Information on Result #3262902
Digital (42, 55, 2189)-net over F9, using 92 times duplication based on digital (40, 53, 2189)-net over F9, using
- net defined by OOA [i] based on linear OOA(953, 2189, F9, 13, 13) (dual of [(2189, 13), 28404, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(953, 13135, F9, 13) (dual of [13135, 13082, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(952, 13134, F9, 13) (dual of [13134, 13082, 14]-code), using
- trace code [i] based on linear OA(8126, 6567, F81, 13) (dual of [6567, 6541, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,5]) [i] based on
- linear OA(8125, 6562, F81, 13) (dual of [6562, 6537, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(8121, 6562, F81, 11) (dual of [6562, 6541, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 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([0,6]) ⊂ C([0,5]) [i] based on
- trace code [i] based on linear OA(8126, 6567, F81, 13) (dual of [6567, 6541, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(952, 13134, F9, 13) (dual of [13134, 13082, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(953, 13135, F9, 13) (dual of [13135, 13082, 14]-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.