Information on Result #675342
Linear OA(382, 6579, F3, 15) (dual of [6579, 6497, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,6]) based on
- linear OA(381, 6562, F3, 15) (dual of [6562, 6481, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(365, 6562, F3, 13) (dual of [6562, 6497, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(31, 17, F3, 1) (dual of [17, 16, 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(382, 2193, F3, 3, 15) (dual of [(2193, 3), 6497, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(382, 939, F3, 15, 15) (dual of [(939, 15), 14003, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |