Information on Result #675882
Linear OA(3232, 2194, F3, 50) (dual of [2194, 1962, 51]-code), using construction X applied to Ce(49) ⊂ Ce(48) based on
- linear OA(3232, 2187, F3, 50) (dual of [2187, 1955, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [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(3233, 2195, F3, 50) (dual of [2195, 1962, 51]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3239, 2218, F3, 50) (dual of [2218, 1979, 51]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3240, 2229, F3, 50) (dual of [2229, 1989, 51]-code) | [i] | ||
| 4 | Linear OA(3241, 2244, F3, 50) (dual of [2244, 2003, 51]-code) | [i] | ||
| 5 | Linear OA(3242, 2264, F3, 50) (dual of [2264, 2022, 51]-code) | [i] | ||
| 6 | Linear OA(3243, 2290, F3, 50) (dual of [2290, 2047, 51]-code) | [i] | ||
| 7 | Linear OA(3244, 2323, F3, 50) (dual of [2323, 2079, 51]-code) | [i] | ||
| 8 | Linear OA(3245, 2363, F3, 50) (dual of [2363, 2118, 51]-code) | [i] | ||
| 9 | Linear OA(3246, 2408, F3, 50) (dual of [2408, 2162, 51]-code) | [i] | ||
| 10 | Linear OA(3247, 2457, F3, 50) (dual of [2457, 2210, 51]-code) | [i] | ||
| 11 | Linear OA(3248, 2510, F3, 50) (dual of [2510, 2262, 51]-code) | [i] | ||
| 12 | Linear OA(3249, 2565, F3, 50) (dual of [2565, 2316, 51]-code) | [i] | ||
| 13 | Linear OOA(3232, 1097, F3, 2, 50) (dual of [(1097, 2), 1962, 51]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(3232, 731, F3, 3, 50) (dual of [(731, 3), 1961, 51]-NRT-code) | [i] | ||
| 15 | Linear OOA(3232, 548, F3, 4, 50) (dual of [(548, 4), 1960, 51]-NRT-code) | [i] | ||
| 16 | Linear OOA(3232, 438, F3, 5, 50) (dual of [(438, 5), 1958, 51]-NRT-code) | [i] | ||