Information on Result #737065
Linear OA(3116, 2225, F3, 23) (dual of [2225, 2109, 24]-code), using construction X applied to Ce(22) ⊂ Ce(16) based on
- linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(378, 2187, F3, 17) (dual of [2187, 2109, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3118, 2227, F3, 23) (dual of [2227, 2109, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3118, 2228, F3, 23) (dual of [2228, 2110, 24]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(3119, 2230, F3, 23) (dual of [2230, 2111, 24]-code) | [i] | ||
| 4 | Linear OOA(3116, 1112, F3, 2, 23) (dual of [(1112, 2), 2108, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3116, 556, F3, 4, 23) (dual of [(556, 4), 2108, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(3116, 445, F3, 5, 23) (dual of [(445, 5), 2109, 24]-NRT-code) | [i] | ||