Information on Result #675965
Linear OA(3114, 2202, F3, 24) (dual of [2202, 2088, 25]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(3113, 2187, F3, 25) (dual of [2187, 2074, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(31, 15, F3, 1) (dual of [15, 14, 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(3115, 2203, F3, 24) (dual of [2203, 2088, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3114, 1258, F3, 2, 24) (dual of [(1258, 2), 2402, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3114, 1258, F3, 3, 24) (dual of [(1258, 3), 3660, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(3114, 1258, F3, 4, 24) (dual of [(1258, 4), 4918, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(3114, 1258, F3, 5, 24) (dual of [(1258, 5), 6176, 25]-NRT-code) | [i] | ||
| 6 | Digital (90, 114, 1258)-net over F3 | [i] | ||
| 7 | Linear OOA(3114, 1101, F3, 2, 24) (dual of [(1101, 2), 2088, 25]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3114, 734, F3, 3, 24) (dual of [(734, 3), 2088, 25]-NRT-code) | [i] | ||
| 9 | Linear OOA(3114, 550, F3, 4, 24) (dual of [(550, 4), 2086, 25]-NRT-code) | [i] | ||
| 10 | Linear OOA(3114, 440, F3, 5, 24) (dual of [(440, 5), 2086, 25]-NRT-code) | [i] | ||