Information on Result #611600
Linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, 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(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code) | [i] | Truncation | |
| 2 | Linear OA(360, 4782974, F3, 7) (dual of [4782974, 4782914, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(386, 4782999, F3, 9) (dual of [4782999, 4782913, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(359, 4782974, F3, 6) (dual of [4782974, 4782915, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(386, 4783000, F3, 9) (dual of [4783000, 4782914, 10]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 6 | Linear OOA(357, 2391485, F3, 2, 7) (dual of [(2391485, 2), 4782913, 8]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(357, 1594323, F3, 4, 7) (dual of [(1594323, 4), 6377235, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(357, 1594323, F3, 5, 7) (dual of [(1594323, 5), 7971558, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(357, 1594323, F3, 7, 7) (dual of [(1594323, 7), 11160204, 8]-NRT-code) | [i] | ||