Information on Result #612408
Linear OA(3217, 730, F3, 57) (dual of [730, 513, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (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(3244, 758, F3, 57) (dual of [758, 514, 58]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3230, 743, F3, 59) (dual of [743, 513, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(3232, 734, F3, 61) (dual of [734, 502, 62]-code) | [i] | ✔ | |
| 4 | Linear OA(3233, 740, F3, 61) (dual of [740, 507, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(3234, 747, F3, 61) (dual of [747, 513, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(3231, 734, F3, 60) (dual of [734, 503, 61]-code) | [i] | ✔ | |
| 7 | Linear OA(3232, 743, F3, 60) (dual of [743, 511, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(3218, 743, F3, 53) (dual of [743, 525, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(3222, 736, F3, 57) (dual of [736, 514, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(3223, 742, F3, 57) (dual of [742, 519, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(3224, 744, F3, 57) (dual of [744, 520, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(3225, 750, F3, 57) (dual of [750, 525, 58]-code) | [i] | ✔ | |
| 13 | Linear OA(3223, 744, F3, 56) (dual of [744, 521, 57]-code) | [i] | ✔ | |
| 14 | Linear OA(3222, 747, F3, 55) (dual of [747, 525, 56]-code) | [i] | ✔ | |
| 15 | Linear OA(3220, 743, F3, 54) (dual of [743, 523, 55]-code) | [i] | ✔ | |
| 16 | Linear OA(3249, 758, F3, 63) (dual of [758, 509, 64]-code) | [i] | ✔ | |
| 17 | Linear OA(3249, 762, F3, 62) (dual of [762, 513, 63]-code) | [i] | ✔ | |
| 18 | Linear OA(3230, 758, F3, 57) (dual of [758, 528, 58]-code) | [i] | ✔ | |
| 19 | Linear OA(3232, 769, F3, 57) (dual of [769, 537, 58]-code) | [i] | ✔ | |
| 20 | Linear OA(3225, 758, F3, 55) (dual of [758, 533, 56]-code) | [i] | ✔ | |
| 21 | Linear OA(3227, 764, F3, 55) (dual of [764, 537, 56]-code) | [i] | ✔ | |
| 22 | Linear OA(3225, 762, F3, 54) (dual of [762, 537, 55]-code) | [i] | ✔ | |
| 23 | Linear OA(3222, 750, F3, 53) (dual of [750, 528, 54]-code) | [i] | ✔ | |
| 24 | Linear OA(3223, 760, F3, 53) (dual of [760, 537, 54]-code) | [i] | ✔ | |
| 25 | Linear OA(3221, 758, F3, 52) (dual of [758, 537, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(3241, 784, F3, 57) (dual of [784, 543, 58]-code) | [i] | ✔ | |
| 27 | Linear OA(3244, 793, F3, 57) (dual of [793, 549, 58]-code) | [i] | ✔ | |
| 28 | Linear OA(3242, 791, F3, 56) (dual of [791, 549, 57]-code) | [i] | ✔ | |
| 29 | Linear OA(3236, 778, F3, 54) (dual of [778, 542, 55]-code) | [i] | ✔ | |
| 30 | Linear OA(3237, 780, F3, 54) (dual of [780, 543, 55]-code) | [i] | ✔ | |
| 31 | Linear OA(3238, 787, F3, 54) (dual of [787, 549, 55]-code) | [i] | ✔ | |
| 32 | Linear OA(3232, 771, F3, 53) (dual of [771, 539, 54]-code) | [i] | ✔ | |
| 33 | Linear OA(3233, 773, F3, 53) (dual of [773, 540, 54]-code) | [i] | ✔ | |
| 34 | Linear OA(3234, 783, F3, 53) (dual of [783, 549, 54]-code) | [i] | ✔ | |
| 35 | Linear OA(3248, 809, F3, 57) (dual of [809, 561, 58]-code) | [i] | ✔ | |
| 36 | Linear OA(3242, 803, F3, 54) (dual of [803, 561, 55]-code) | [i] | ✔ | |
| 37 | Linear OA(3245, 764, F3, 60) (dual of [764, 519, 61]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 38 | Linear OA(3242, 761, F3, 59) (dual of [761, 519, 60]-code) | [i] | ✔ | |
| 39 | Linear OA(3246, 764, F3, 61) (dual of [764, 518, 62]-code) | [i] | ✔ | |
| 40 | Linear OA(3244, 762, F3, 60) (dual of [762, 518, 61]-code) | [i] | ✔ | |
| 41 | Linear OA(3241, 759, F3, 59) (dual of [759, 518, 60]-code) | [i] | ✔ | |
| 42 | Linear OA(3231, 761, F3, 57) (dual of [761, 530, 58]-code) | [i] | ✔ | |
| 43 | Linear OA(3230, 772, F3, 52) (dual of [772, 542, 53]-code) | [i] | ✔ | |