Information on Result #611582
Linear OA(333, 6562, F3, 7) (dual of [6562, 6529, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
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(332, 6561, F3, 6) (dual of [6561, 6529, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(336, 6566, F3, 7) (dual of [6566, 6530, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(350, 6579, F3, 9) (dual of [6579, 6529, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(350, 6580, F3, 9) (dual of [6580, 6530, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 5 | Linear OOA(333, 3281, F3, 2, 7) (dual of [(3281, 2), 6529, 8]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(333, 2187, F3, 4, 7) (dual of [(2187, 4), 8715, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 7 | Linear OOA(333, 2187, F3, 5, 7) (dual of [(2187, 5), 10902, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(333, 2187, F3, 7, 7) (dual of [(2187, 7), 15276, 8]-NRT-code) | [i] | ||