Information on Result #675921
Linear OA(322, 2194, F3, 5) (dual of [2194, 2172, 6]-code), using construction X applied to Ce(4) ⊂ Ce(3) based on
- linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(315, 2187, F3, 4) (dual of [2187, 2172, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(324, 2198, F3, 5) (dual of [2198, 2174, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(323, 2197, F3, 5) (dual of [2197, 2174, 6]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(324, 2204, F3, 5) (dual of [2204, 2180, 6]-code) | [i] | ||
| 4 | Linear OOA(322, 1097, F3, 2, 5) (dual of [(1097, 2), 2172, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(322, 1096, F3, 3, 5) (dual of [(1096, 3), 3266, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(322, 1096, F3, 4, 5) (dual of [(1096, 4), 4362, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(322, 1096, F3, 5, 5) (dual of [(1096, 5), 5458, 6]-NRT-code) | [i] | ||