Information on Result #612425
Linear OA(3229, 730, F3, 61) (dual of [730, 501, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (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(3228, 729, F3, 60) (dual of [729, 501, 61]-code) | [i] | Truncation | |
| 2 | Linear OA(3242, 743, F3, 63) (dual of [743, 501, 64]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3230, 743, F3, 59) (dual of [743, 513, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(3232, 734, F3, 61) (dual of [734, 502, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(3233, 740, F3, 61) (dual of [740, 507, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(3234, 747, F3, 61) (dual of [747, 513, 62]-code) | [i] | ✔ | |
| 7 | Linear OA(3231, 734, F3, 60) (dual of [734, 503, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(3232, 743, F3, 60) (dual of [743, 511, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(3247, 767, F3, 61) (dual of [767, 520, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(3248, 773, F3, 61) (dual of [773, 525, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(3245, 759, F3, 60) (dual of [759, 514, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(3242, 758, F3, 59) (dual of [758, 516, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(3244, 769, F3, 59) (dual of [769, 525, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(3248, 778, F3, 58) (dual of [778, 530, 59]-code) | [i] | ✔ | |
| 15 | Linear OA(3249, 780, F3, 58) (dual of [780, 531, 59]-code) | [i] | ✔ | |
| 16 | Linear OA(3250, 787, F3, 58) (dual of [787, 537, 59]-code) | [i] | ✔ | |
| 17 | Linear OA(3245, 764, F3, 60) (dual of [764, 519, 61]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 18 | Linear OA(3242, 761, F3, 59) (dual of [761, 519, 60]-code) | [i] | ✔ | |
| 19 | Linear OA(3246, 764, F3, 61) (dual of [764, 518, 62]-code) | [i] | ✔ | |
| 20 | Linear OA(3244, 762, F3, 60) (dual of [762, 518, 61]-code) | [i] | ✔ | |
| 21 | Linear OA(3241, 759, F3, 59) (dual of [759, 518, 60]-code) | [i] | ✔ | |
| 22 | Linear OOA(3229, 365, F3, 2, 61) (dual of [(365, 2), 501, 62]-NRT-code) | [i] | OOA Folding | |