Information on Result #675946
Linear OA(3180, 2205, F3, 38) (dual of [2205, 2025, 39]-code), using construction X applied to Ce(37) ⊂ Ce(34) based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(34, 18, F3, 2) (dual of [18, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-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 OOA(3180, 1650, F3, 2, 38) (dual of [(1650, 2), 3120, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3180, 1650, F3, 3, 38) (dual of [(1650, 3), 4770, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3180, 1650, F3, 4, 38) (dual of [(1650, 4), 6420, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3180, 1650, F3, 5, 38) (dual of [(1650, 5), 8070, 39]-NRT-code) | [i] | ||
| 5 | Digital (142, 180, 1650)-net over F3 | [i] | ||
| 6 | Linear OOA(3180, 1102, F3, 2, 38) (dual of [(1102, 2), 2024, 39]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3180, 735, F3, 3, 38) (dual of [(735, 3), 2025, 39]-NRT-code) | [i] | ||
| 8 | Linear OOA(3180, 551, F3, 4, 38) (dual of [(551, 4), 2024, 39]-NRT-code) | [i] | ||
| 9 | Linear OOA(3180, 441, F3, 5, 38) (dual of [(441, 5), 2025, 39]-NRT-code) | [i] | ||