Information on Result #677109
Linear OA(392, 255, F3, 27) (dual of [255, 163, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,12]) based on
- linear OA(391, 244, F3, 27) (dual of [244, 153, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(381, 244, F3, 25) (dual of [244, 163, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 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(392, 127, F3, 2, 27) (dual of [(127, 2), 162, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(392, 85, F3, 3, 27) (dual of [(85, 3), 163, 28]-NRT-code) | [i] | ||