Information on Result #674650
Linear OA(395, 177176, F3, 13) (dual of [177176, 177081, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
- 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(367, 177148, F3, 9) (dual of [177148, 177081, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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 OA(396, 177177, F3, 13) (dual of [177177, 177081, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(394, 177175, F3, 12) (dual of [177175, 177081, 13]-code) | [i] | Truncation | |
| 3 | Linear OOA(395, 88588, F3, 2, 13) (dual of [(88588, 2), 177081, 14]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(395, 44294, F3, 4, 13) (dual of [(44294, 4), 177081, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(395, 35435, F3, 5, 13) (dual of [(35435, 5), 177080, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(395, 29529, F3, 13, 13) (dual of [(29529, 13), 383782, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |