Information on Result #1767411
Digital (173, 194, 531462)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3194, 531462, F3, 3, 21) (dual of [(531462, 3), 1594192, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3194, 1594386, F3, 21) (dual of [1594386, 1594192, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3194, 1594387, F3, 21) (dual of [1594387, 1594193, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(3183, 1594324, F3, 21) (dual of [1594324, 1594141, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3131, 1594324, F3, 15) (dual of [1594324, 1594193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 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([0,10]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(3194, 1594387, F3, 21) (dual of [1594387, 1594193, 22]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (174, 195, 531462)-net over F3 | [i] | Net Duplication | |