Information on Result #2235166
Linear OA(3239, 2194, F3, 51) (dual of [2194, 1955, 52]-code), using 1 times truncation based on linear OA(3240, 2195, F3, 52) (dual of [2195, 1955, 53]-code), using
- construction X applied to Ce(51) ⊂ Ce(49) [i] 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]
- 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(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3244, 2213, F3, 51) (dual of [2213, 1969, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3245, 2225, F3, 51) (dual of [2225, 1980, 52]-code) | [i] | ||
| 3 | Linear OA(3246, 2244, F3, 51) (dual of [2244, 1998, 52]-code) | [i] | ||
| 4 | Linear OA(3247, 2271, F3, 51) (dual of [2271, 2024, 52]-code) | [i] | ||
| 5 | Linear OA(3248, 2306, F3, 51) (dual of [2306, 2058, 52]-code) | [i] | ||
| 6 | Linear OA(3249, 2348, F3, 51) (dual of [2348, 2099, 52]-code) | [i] | ||
| 7 | Linear OOA(3239, 1097, F3, 2, 51) (dual of [(1097, 2), 1955, 52]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3239, 731, F3, 3, 51) (dual of [(731, 3), 1954, 52]-NRT-code) | [i] | ||
| 9 | Linear OOA(3239, 548, F3, 4, 51) (dual of [(548, 4), 1953, 52]-NRT-code) | [i] | ||
| 10 | Linear OOA(3239, 438, F3, 5, 51) (dual of [(438, 5), 1951, 52]-NRT-code) | [i] | ||