Information on Result #1185256
Digital (179, 204, 44291)-net over F3, using net defined by OOA based on linear OOA(3204, 44291, F3, 25, 25) (dual of [(44291, 25), 1107071, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3204, 531493, F3, 25) (dual of [531493, 531289, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3204, 531501, F3, 25) (dual of [531501, 531297, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(3193, 531442, F3, 25) (dual of [531442, 531249, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3145, 531442, F3, 19) (dual of [531442, 531297, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3204, 531501, F3, 25) (dual of [531501, 531297, 26]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (180, 204, 44291)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (180, 205, 44291)-net over F3 | [i] | Net Duplication | |
| 3 | Digital (179, 203, 44291)-net over F3 | [i] | m-Reduction | |