Information on Result #674645
Linear OA(3112, 177171, F3, 15) (dual of [177171, 177059, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,6]) based on
- linear OA(3111, 177148, F3, 15) (dual of [177148, 177037, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(389, 177148, F3, 13) (dual of [177148, 177059, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 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(3112, 59057, F3, 3, 15) (dual of [(59057, 3), 177059, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3112, 35434, F3, 5, 15) (dual of [(35434, 5), 177058, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3112, 25310, F3, 15, 15) (dual of [(25310, 15), 379538, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |