Information on Result #675892
Linear OA(3176, 2194, F3, 38) (dual of [2194, 2018, 39]-code), using construction X applied to Ce(37) ⊂ Ce(36) based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(3177, 2195, F3, 38) (dual of [2195, 2018, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3187, 2229, F3, 38) (dual of [2229, 2042, 39]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3188, 2240, F3, 38) (dual of [2240, 2052, 39]-code) | [i] | ||
| 4 | Linear OA(3189, 2254, F3, 38) (dual of [2254, 2065, 39]-code) | [i] | ||
| 5 | Linear OA(3190, 2272, F3, 38) (dual of [2272, 2082, 39]-code) | [i] | ||
| 6 | Linear OA(3191, 2295, F3, 38) (dual of [2295, 2104, 39]-code) | [i] | ||
| 7 | Linear OA(3192, 2323, F3, 38) (dual of [2323, 2131, 39]-code) | [i] | ||
| 8 | Linear OA(3193, 2358, F3, 38) (dual of [2358, 2165, 39]-code) | [i] | ||
| 9 | Linear OA(3194, 2401, F3, 38) (dual of [2401, 2207, 39]-code) | [i] | ||
| 10 | Linear OA(3195, 2451, F3, 38) (dual of [2451, 2256, 39]-code) | [i] | ||
| 11 | Linear OA(3196, 2509, F3, 38) (dual of [2509, 2313, 39]-code) | [i] | ||
| 12 | Linear OA(3197, 2574, F3, 38) (dual of [2574, 2377, 39]-code) | [i] | ||
| 13 | Linear OA(3198, 2645, F3, 38) (dual of [2645, 2447, 39]-code) | [i] | ||
| 14 | Linear OA(3199, 2720, F3, 38) (dual of [2720, 2521, 39]-code) | [i] | ||
| 15 | Linear OA(3200, 2799, F3, 38) (dual of [2799, 2599, 39]-code) | [i] | ||
| 16 | Linear OOA(3176, 1097, F3, 2, 38) (dual of [(1097, 2), 2018, 39]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(3176, 731, F3, 3, 38) (dual of [(731, 3), 2017, 39]-NRT-code) | [i] | ||
| 18 | Linear OOA(3176, 548, F3, 4, 38) (dual of [(548, 4), 2016, 39]-NRT-code) | [i] | ||
| 19 | Linear OOA(3176, 438, F3, 5, 38) (dual of [(438, 5), 2014, 39]-NRT-code) | [i] | ||