Information on Result #677056
Linear OA(3122, 378, F3, 33) (dual of [378, 256, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,15]) based on
- linear OA(3121, 365, F3, 33) (dual of [365, 244, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 365 | 312−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(3109, 365, F3, 31) (dual of [365, 256, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 365 | 312−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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 OOA(3122, 189, F3, 2, 33) (dual of [(189, 2), 256, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3122, 126, F3, 3, 33) (dual of [(126, 3), 256, 34]-NRT-code) | [i] | ||