Information on Result #676505

Linear OA(3229, 729, F3, 61) (dual of [729, 500, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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:

ResultThis
result
only		Method
1Linear OA(3235, 735, F3, 62) (dual of [735, 500, 63]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3230, 736, F3, 61) (dual of [736, 506, 62]-code) [i]✔
3Linear OA(3244, 742, F3, 64) (dual of [742, 498, 65]-code) [i]✔
4Linear OA(3245, 745, F3, 64) (dual of [745, 500, 65]-code) [i]✔
5Linear OA(3230, 742, F3, 60) (dual of [742, 512, 61]-code) [i]✔
6Linear OA(3232, 742, F3, 61) (dual of [742, 510, 62]-code) [i]✔
7Linear OA(3233, 745, F3, 61) (dual of [745, 512, 62]-code) [i]✔
8Linear OA(3236, 751, F3, 61) (dual of [751, 515, 62]-code) [i]✔
9Linear OA(3234, 749, F3, 60) (dual of [749, 515, 61]-code) [i]✔
10Linear OA(3244, 765, F3, 61) (dual of [765, 521, 62]-code) [i]✔
11Linear OA(3247, 771, F3, 61) (dual of [771, 524, 62]-code) [i]✔
12Linear OA(3248, 775, F3, 61) (dual of [775, 527, 62]-code) [i]✔
13Linear OA(3244, 770, F3, 60) (dual of [770, 526, 61]-code) [i]✔
14Linear OA(3245, 772, F3, 60) (dual of [772, 527, 61]-code) [i]✔
15Linear OA(3243, 738, F3, 64) (dual of [738, 495, 65]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
16Linear OA(3245, 747, F3, 63) (dual of [747, 502, 64]-code) [i]✔
17Linear OA(3247, 748, F3, 64) (dual of [748, 501, 65]-code) [i]✔
18Linear OA(3237, 738, F3, 62) (dual of [738, 501, 63]-code) [i]✔
19Linear OA(3231, 738, F3, 61) (dual of [738, 507, 62]-code) [i]✔
20Linear OA(3233, 747, F3, 60) (dual of [747, 514, 61]-code) [i]✔
21Linear OA(3232, 745, F3, 60) (dual of [745, 513, 61]-code) [i]✔
22Linear OA(3241, 759, F3, 60) (dual of [759, 518, 61]-code) [i]✔
23Linear OA(3243, 760, F3, 61) (dual of [760, 517, 62]-code) [i]✔
24Linear OA(3240, 757, F3, 60) (dual of [757, 517, 61]-code) [i]✔
25Linear OA(3242, 758, F3, 61) (dual of [758, 516, 62]-code) [i]✔
26Linear OA(3239, 755, F3, 60) (dual of [755, 516, 61]-code) [i]✔
27Linear OA(3243, 763, F3, 61) (dual of [763, 520, 62]-code) [i]✔
28Linear OA(3242, 761, F3, 61) (dual of [761, 519, 62]-code) [i]✔
29Linear OA(3241, 759, F3, 61) (dual of [759, 518, 62]-code) [i]✔
30Linear OA(3240, 757, F3, 61) (dual of [757, 517, 62]-code) [i]✔
31Linear OA(3239, 755, F3, 61) (dual of [755, 516, 62]-code) [i]✔
32Linear OA(3245, 767, F3, 61) (dual of [767, 522, 62]-code) [i]✔
33Linear OOA(3229, 243, F3, 3, 61) (dual of [(243, 3), 500, 62]-NRT-code) [i]OOA Folding