Information on Result #2235163
Linear OA(3238, 2186, F3, 51) (dual of [2186, 1948, 52]-code), using 1 times truncation based on linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using
- an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
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 OOA(3238, 1896, F3, 2, 51) (dual of [(1896, 2), 3554, 52]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3238, 1896, F3, 3, 51) (dual of [(1896, 3), 5450, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(3238, 1896, F3, 4, 51) (dual of [(1896, 4), 7346, 52]-NRT-code) | [i] | ||
| 4 | Linear OOA(3238, 1896, F3, 5, 51) (dual of [(1896, 5), 9242, 52]-NRT-code) | [i] | ||
| 5 | Digital (187, 238, 1896)-net over F3 | [i] | ||
| 6 | Linear OA(3245, 2220, F3, 51) (dual of [2220, 1975, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3246, 2240, F3, 51) (dual of [2240, 1994, 52]-code) | [i] | ||
| 8 | Linear OA(3247, 2268, F3, 51) (dual of [2268, 2021, 52]-code) | [i] | ||
| 9 | Linear OA(3248, 2304, F3, 51) (dual of [2304, 2056, 52]-code) | [i] | ||
| 10 | Linear OA(3249, 2347, F3, 51) (dual of [2347, 2098, 52]-code) | [i] | ||
| 11 | Linear OA(3250, 2395, F3, 51) (dual of [2395, 2145, 52]-code) | [i] | ||
| 12 | Linear OOA(3238, 1093, F3, 2, 51) (dual of [(1093, 2), 1948, 52]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3238, 728, F3, 3, 51) (dual of [(728, 3), 1946, 52]-NRT-code) | [i] | ||
| 14 | Linear OOA(3238, 546, F3, 4, 51) (dual of [(546, 4), 1946, 52]-NRT-code) | [i] | ||
| 15 | Linear OOA(3238, 437, F3, 5, 51) (dual of [(437, 5), 1947, 52]-NRT-code) | [i] | ||