Information on Result #3263217
Digital (72, 95, 1194)-net over F9, using 92 times duplication based on digital (70, 93, 1194)-net over F9, using
- net defined by OOA [i] based on linear OOA(993, 1194, F9, 23, 23) (dual of [(1194, 23), 27369, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(993, 13135, F9, 23) (dual of [13135, 13042, 24]-code), using
- 1 times code embedding in larger space [i] based on linear OA(992, 13134, F9, 23) (dual of [13134, 13042, 24]-code), using
- trace code [i] based on linear OA(8146, 6567, F81, 23) (dual of [6567, 6521, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(8141, 6562, F81, 21) (dual of [6562, 6521, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,11]) ⊂ C([0,10]) [i] based on
- trace code [i] based on linear OA(8146, 6567, F81, 23) (dual of [6567, 6521, 24]-code), using
- 1 times code embedding in larger space [i] based on linear OA(992, 13134, F9, 23) (dual of [13134, 13042, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(993, 13135, F9, 23) (dual of [13135, 13042, 24]-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.