Information on Result #611576
Linear OA(325, 730, F3, 7) (dual of [730, 705, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, 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(324, 729, F3, 6) (dual of [729, 705, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(328, 734, F3, 7) (dual of [734, 706, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(338, 743, F3, 9) (dual of [743, 705, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(338, 744, F3, 9) (dual of [744, 706, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 5 | Linear OOA(325, 365, F3, 2, 7) (dual of [(365, 2), 705, 8]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(325, 243, F3, 4, 7) (dual of [(243, 4), 947, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 7 | Linear OOA(325, 243, F3, 5, 7) (dual of [(243, 5), 1190, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(325, 243, F3, 7, 7) (dual of [(243, 7), 1676, 8]-NRT-code) | [i] | ||