Information on Result #1183838
Digital (106, 119, 797167)-net over F3, using net defined by OOA based on linear OOA(3119, 797167, F3, 13, 13) (dual of [(797167, 13), 10363052, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(3119, 4783003, F3, 13) (dual of [4783003, 4782884, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3119, 4783004, F3, 13) (dual of [4783004, 4782885, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(3113, 4782970, F3, 13) (dual of [4782970, 4782857, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(385, 4782970, F3, 9) (dual of [4782970, 4782885, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(36, 34, F3, 3) (dual of [34, 28, 4]-code or 34-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3119, 4783004, F3, 13) (dual of [4783004, 4782885, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (106, 118, 797167)-net over F3 | [i] | m-Reduction | |