Information on Result #2232156
Linear OA(3120, 740, F3, 30) (dual of [740, 620, 31]-code), using 1 times truncation based on linear OA(3121, 741, F3, 31) (dual of [741, 620, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(3118, 729, F3, 31) (dual of [729, 611, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3109, 729, F3, 28) (dual of [729, 620, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 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(3120, 578, F3, 2, 30) (dual of [(578, 2), 1036, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3120, 578, F3, 3, 30) (dual of [(578, 3), 1614, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(3120, 578, F3, 4, 30) (dual of [(578, 4), 2192, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3120, 578, F3, 5, 30) (dual of [(578, 5), 2770, 31]-NRT-code) | [i] | ||
| 5 | Digital (90, 120, 578)-net over F3 | [i] | ||
| 6 | Linear OOA(3120, 370, F3, 2, 30) (dual of [(370, 2), 620, 31]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3120, 185, F3, 4, 30) (dual of [(185, 4), 620, 31]-NRT-code) | [i] | ||