Information on Result #2232843
Linear OA(3127, 2194, F3, 27) (dual of [2194, 2067, 28]-code), using 1 times truncation based on linear OA(3128, 2195, F3, 28) (dual of [2195, 2067, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3137, 2227, F3, 27) (dual of [2227, 2090, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(3127, 1097, F3, 2, 27) (dual of [(1097, 2), 2067, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3127, 731, F3, 3, 27) (dual of [(731, 3), 2066, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(3127, 548, F3, 4, 27) (dual of [(548, 4), 2065, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(3127, 438, F3, 5, 27) (dual of [(438, 5), 2063, 28]-NRT-code) | [i] | ||