Information on Result #612371

Linear OA(3208, 729, F3, 53) (dual of [729, 521, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53

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(3234, 756, F3, 53) (dual of [756, 522, 54]-code) [i](u, u+v)-Construction
2Linear OA(3215, 736, F3, 55) (dual of [736, 521, 56]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3216, 733, F3, 56) (dual of [733, 517, 57]-code) [i]✔
4Linear OA(3217, 738, F3, 56) (dual of [738, 521, 57]-code) [i]✔
5Linear OA(3208, 735, F3, 53) (dual of [735, 527, 54]-code) [i]✔
6Linear OA(3222, 740, F3, 58) (dual of [740, 518, 59]-code) [i]✔
7Linear OA(3223, 743, F3, 58) (dual of [743, 520, 59]-code) [i]✔
8Linear OA(3224, 745, F3, 58) (dual of [745, 521, 59]-code) [i]✔
9Linear OA(3222, 743, F3, 57) (dual of [743, 521, 58]-code) [i]✔
10Linear OA(3211, 742, F3, 53) (dual of [742, 531, 54]-code) [i]✔
11Linear OA(3212, 745, F3, 53) (dual of [745, 533, 54]-code) [i]✔
12Linear OA(3231, 752, F3, 59) (dual of [752, 521, 60]-code) [i]✔
13Linear OA(3213, 749, F3, 53) (dual of [749, 536, 54]-code) [i]✔
14Linear OA(3214, 753, F3, 53) (dual of [753, 539, 54]-code) [i]✔
15Linear OA(3244, 765, F3, 61) (dual of [765, 521, 62]-code) [i]✔
16Linear OA(3216, 757, F3, 53) (dual of [757, 541, 54]-code) [i]✔
17Linear OA(3218, 763, F3, 53) (dual of [763, 545, 54]-code) [i]✔
18Linear OA(3222, 769, F3, 53) (dual of [769, 547, 54]-code) [i]✔
19Linear OA(3223, 771, F3, 53) (dual of [771, 548, 54]-code) [i]✔
20Linear OA(3224, 775, F3, 53) (dual of [775, 551, 54]-code) [i]✔
21Linear OA(3229, 786, F3, 53) (dual of [786, 557, 54]-code) [i]✔
22Linear OA(3232, 795, F3, 53) (dual of [795, 563, 54]-code) [i]✔
23Linear OA(3235, 804, F3, 53) (dual of [804, 569, 54]-code) [i]✔
24Linear OA(3250, 766, F3, 62) (dual of [766, 516, 63]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
25Linear OA(3249, 766, F3, 62) (dual of [766, 517, 63]-code) [i]✔
26Linear OA(3248, 764, F3, 62) (dual of [764, 516, 63]-code) [i]✔
27Linear OA(3241, 759, F3, 60) (dual of [759, 518, 61]-code) [i]✔
28Linear OA(3243, 760, F3, 61) (dual of [760, 517, 62]-code) [i]✔
29Linear OA(3240, 757, F3, 60) (dual of [757, 517, 61]-code) [i]✔
30Linear OA(3242, 758, F3, 61) (dual of [758, 516, 62]-code) [i]✔
31Linear OA(3239, 755, F3, 60) (dual of [755, 516, 61]-code) [i]✔
32Linear OA(3243, 763, F3, 61) (dual of [763, 520, 62]-code) [i]✔
33Linear OA(3242, 761, F3, 61) (dual of [761, 519, 62]-code) [i]✔
34Linear OA(3241, 759, F3, 61) (dual of [759, 518, 62]-code) [i]✔
35Linear OA(3240, 757, F3, 61) (dual of [757, 517, 62]-code) [i]✔
36Linear OA(3239, 755, F3, 61) (dual of [755, 516, 62]-code) [i]✔
37Linear OA(3245, 767, F3, 61) (dual of [767, 522, 62]-code) [i]✔
38Linear OA(3229, 745, F3, 59) (dual of [745, 516, 60]-code) [i]✔
39Linear OA(3236, 762, F3, 59) (dual of [762, 526, 60]-code) [i]✔
40Linear OA(3235, 760, F3, 59) (dual of [760, 525, 60]-code) [i]✔
41Linear OA(3234, 758, F3, 59) (dual of [758, 524, 60]-code) [i]✔
42Linear OA(3233, 756, F3, 59) (dual of [756, 523, 60]-code) [i]✔
43Linear OA(3232, 754, F3, 59) (dual of [754, 522, 60]-code) [i]✔
44Linear OA(3221, 737, F3, 58) (dual of [737, 516, 59]-code) [i]✔
45Linear OA(3223, 745, F3, 57) (dual of [745, 522, 58]-code) [i]✔
46Linear OA(3218, 740, F3, 56) (dual of [740, 522, 57]-code) [i]✔
47Linear OA(3216, 738, F3, 55) (dual of [738, 522, 56]-code) [i]✔
48Linear OA(3210, 738, F3, 53) (dual of [738, 528, 54]-code) [i]✔