Information on Result #675937
Linear OA(3208, 2205, F3, 44) (dual of [2205, 1997, 45]-code), using construction X applied to Ce(43) ⊂ Ce(40) based on
- linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(3208, 1816, F3, 2, 44) (dual of [(1816, 2), 3424, 45]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3208, 1816, F3, 3, 44) (dual of [(1816, 3), 5240, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(3208, 1816, F3, 4, 44) (dual of [(1816, 4), 7056, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(3208, 1816, F3, 5, 44) (dual of [(1816, 5), 8872, 45]-NRT-code) | [i] | ||
| 5 | Digital (164, 208, 1816)-net over F3 | [i] | ||
| 6 | Linear OOA(3208, 1102, F3, 2, 44) (dual of [(1102, 2), 1996, 45]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3208, 735, F3, 3, 44) (dual of [(735, 3), 1997, 45]-NRT-code) | [i] | ||
| 8 | Linear OOA(3208, 551, F3, 4, 44) (dual of [(551, 4), 1996, 45]-NRT-code) | [i] | ||
| 9 | Linear OOA(3208, 441, F3, 5, 44) (dual of [(441, 5), 1997, 45]-NRT-code) | [i] | ||