Information on Result #675919
Linear OA(330, 2195, F3, 7) (dual of [2195, 2165, 8]-code), using construction X applied to Ce(6) ⊂ Ce(4) based on
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- 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(31, 8, F3, 1) (dual of [8, 7, 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(330, 731, F3, 4, 7) (dual of [(731, 4), 2894, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 2 | Linear OOA(330, 731, F3, 5, 7) (dual of [(731, 5), 3625, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(330, 731, F3, 7, 7) (dual of [(731, 7), 5087, 8]-NRT-code) | [i] | ||