Information on Result #612413

Linear OA(3217, 729, F3, 58) (dual of [729, 512, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58

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:

ResultThis
result
only		Method
1Linear OA(3246, 759, F3, 58) (dual of [759, 513, 59]-code) [i](u, u+v)-Construction
2Linear OA(3223, 735, F3, 59) (dual of [735, 512, 60]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3218, 733, F3, 58) (dual of [733, 515, 59]-code) [i]✔
4Linear OA(3230, 742, F3, 60) (dual of [742, 512, 61]-code) [i]✔
5Linear OA(3232, 742, F3, 61) (dual of [742, 510, 62]-code) [i]✔
6Linear OA(3233, 745, F3, 61) (dual of [745, 512, 62]-code) [i]✔
7Linear OA(3222, 740, F3, 58) (dual of [740, 518, 59]-code) [i]✔
8Linear OA(3223, 743, F3, 58) (dual of [743, 520, 59]-code) [i]✔
9Linear OA(3224, 745, F3, 58) (dual of [745, 521, 59]-code) [i]✔
10Linear OA(3222, 743, F3, 57) (dual of [743, 521, 58]-code) [i]✔
11Linear OA(3240, 749, F3, 62) (dual of [749, 509, 63]-code) [i]✔
12Linear OA(3241, 753, F3, 62) (dual of [753, 512, 63]-code) [i]✔
13Linear OA(3225, 752, F3, 58) (dual of [752, 527, 59]-code) [i]✔
14Linear OA(3249, 757, F3, 64) (dual of [757, 508, 65]-code) [i]✔
15Linear OA(3249, 761, F3, 63) (dual of [761, 512, 64]-code) [i]✔
16Linear OA(3232, 765, F3, 58) (dual of [765, 533, 59]-code) [i]✔
17Linear OA(3235, 771, F3, 58) (dual of [771, 536, 59]-code) [i]✔
18Linear OA(3236, 775, F3, 58) (dual of [775, 539, 59]-code) [i]✔
19Linear OA(3232, 770, F3, 57) (dual of [770, 538, 58]-code) [i]✔
20Linear OA(3233, 772, F3, 57) (dual of [772, 539, 58]-code) [i]✔
21Linear OA(3240, 782, F3, 58) (dual of [782, 542, 59]-code) [i]✔
22Linear OA(3242, 787, F3, 58) (dual of [787, 545, 59]-code) [i]✔
23Linear OA(3244, 795, F3, 58) (dual of [795, 551, 59]-code) [i]✔
24Linear OA(3242, 793, F3, 57) (dual of [793, 551, 58]-code) [i]✔
25Linear OA(3248, 805, F3, 58) (dual of [805, 557, 59]-code) [i]✔
26Linear OA(3248, 810, F3, 57) (dual of [810, 562, 58]-code) [i]✔
27Linear OA(3232, 771, F3, 57) (dual of [771, 539, 58]-code) [i]✔
28Linear OA(3249, 812, F3, 57) (dual of [812, 563, 58]-code) [i]✔
29Linear OA(3250, 766, F3, 62) (dual of [766, 516, 63]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(3231, 738, F3, 61) (dual of [738, 507, 62]-code) [i]✔
31Linear OA(3233, 747, F3, 60) (dual of [747, 514, 61]-code) [i]✔
32Linear OA(3232, 745, F3, 60) (dual of [745, 513, 61]-code) [i]✔
33Linear OA(3241, 759, F3, 60) (dual of [759, 518, 61]-code) [i]✔
34Linear OA(3243, 760, F3, 61) (dual of [760, 517, 62]-code) [i]✔
35Linear OA(3240, 757, F3, 60) (dual of [757, 517, 61]-code) [i]✔
36Linear OA(3242, 758, F3, 61) (dual of [758, 516, 62]-code) [i]✔
37Linear OA(3239, 755, F3, 60) (dual of [755, 516, 61]-code) [i]✔
38Linear OA(3225, 738, F3, 59) (dual of [738, 513, 60]-code) [i]✔
39Linear OA(3221, 737, F3, 58) (dual of [737, 516, 59]-code) [i]✔
40Linear OA(3223, 745, F3, 57) (dual of [745, 522, 58]-code) [i]✔
41Linear OA(3231, 763, F3, 58) (dual of [763, 532, 59]-code) [i]✔
42Linear OA(3230, 761, F3, 58) (dual of [761, 531, 59]-code) [i]✔
43Linear OA(3229, 759, F3, 58) (dual of [759, 530, 59]-code) [i]✔
44Linear OA(3228, 757, F3, 58) (dual of [757, 529, 59]-code) [i]✔
45Linear OA(3227, 755, F3, 58) (dual of [755, 528, 59]-code) [i]✔
46Linear OA(3233, 767, F3, 58) (dual of [767, 534, 59]-code) [i]✔
47Linear OOA(3217, 243, F3, 3, 58) (dual of [(243, 3), 512, 59]-NRT-code) [i]OOA Folding