Information on Result #675922
Linear OA(323, 2196, F3, 5) (dual of [2196, 2173, 6]-code), using construction X4 applied to Ce(4) ⊂ Ce(3) based on
- linear OA(322, 2187, F3, 5) (dual of [2187, 2165, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(315, 2187, F3, 4) (dual of [2187, 2172, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(38, 9, F3, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,3)), using
- dual of repetition code with length 9 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 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(323, 1098, F3, 2, 5) (dual of [(1098, 2), 2173, 6]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(323, 1097, F3, 3, 5) (dual of [(1097, 3), 3268, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 3 | Linear OOA(323, 1097, F3, 4, 5) (dual of [(1097, 4), 4365, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(323, 1097, F3, 5, 5) (dual of [(1097, 5), 5462, 6]-NRT-code) | [i] | ||