Information on Result #737063
Linear OA(3137, 2225, F3, 28) (dual of [2225, 2088, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) 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(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(310, 38, F3, 5) (dual of [38, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-code), 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(3139, 2227, F3, 28) (dual of [2227, 2088, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3140, 2228, F3, 28) (dual of [2228, 2088, 29]-code) | [i] | ||
| 3 | Linear OA(3141, 2229, F3, 28) (dual of [2229, 2088, 29]-code) | [i] | ||
| 4 | Linear OA(3136, 2224, F3, 27) (dual of [2224, 2088, 28]-code) | [i] | Truncation | |
| 5 | Linear OA(3140, 2229, F3, 28) (dual of [2229, 2089, 29]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OA(3141, 2231, F3, 28) (dual of [2231, 2090, 29]-code) | [i] | ||
| 7 | Linear OOA(3137, 1112, F3, 2, 28) (dual of [(1112, 2), 2087, 29]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3137, 556, F3, 4, 28) (dual of [(556, 4), 2087, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(3137, 445, F3, 5, 28) (dual of [(445, 5), 2088, 29]-NRT-code) | [i] | ||