Information on Result #675900
Linear OA(3134, 2194, F3, 29) (dual of [2194, 2060, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- linear OA(3134, 2187, F3, 29) (dual of [2187, 2053, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(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(3135, 2195, F3, 29) (dual of [2195, 2060, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3146, 2232, F3, 29) (dual of [2232, 2086, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3147, 2243, F3, 29) (dual of [2243, 2096, 30]-code) | [i] | ||
| 4 | Linear OA(3148, 2257, F3, 29) (dual of [2257, 2109, 30]-code) | [i] | ||
| 5 | Linear OA(3149, 2276, F3, 29) (dual of [2276, 2127, 30]-code) | [i] | ||
| 6 | Linear OA(3150, 2300, F3, 29) (dual of [2300, 2150, 30]-code) | [i] | ||
| 7 | Linear OA(3151, 2330, F3, 29) (dual of [2330, 2179, 30]-code) | [i] | ||
| 8 | Linear OA(3152, 2368, F3, 29) (dual of [2368, 2216, 30]-code) | [i] | ||
| 9 | Linear OOA(3134, 1097, F3, 2, 29) (dual of [(1097, 2), 2060, 30]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(3134, 731, F3, 3, 29) (dual of [(731, 3), 2059, 30]-NRT-code) | [i] | ||
| 11 | Linear OOA(3134, 548, F3, 4, 29) (dual of [(548, 4), 2058, 30]-NRT-code) | [i] | ||
| 12 | Linear OOA(3134, 438, F3, 5, 29) (dual of [(438, 5), 2056, 30]-NRT-code) | [i] | ||