Information on Result #612345

Linear OA(3196, 729, F3, 50) (dual of [729, 533, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50

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(3221, 755, F3, 50) (dual of [755, 534, 51]-code) [i](u, u+v)-Construction
2Linear OA(3203, 736, F3, 52) (dual of [736, 533, 53]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3196, 735, F3, 50) (dual of [735, 539, 51]-code) [i]✔
4Linear OA(3211, 742, F3, 53) (dual of [742, 531, 54]-code) [i]✔
5Linear OA(3212, 745, F3, 53) (dual of [745, 533, 54]-code) [i]✔
6Linear OA(3199, 742, F3, 50) (dual of [742, 543, 51]-code) [i]✔
7Linear OA(3200, 745, F3, 50) (dual of [745, 545, 51]-code) [i]✔
8Linear OA(3222, 755, F3, 56) (dual of [755, 533, 57]-code) [i]✔
9Linear OA(3219, 749, F3, 54) (dual of [749, 530, 55]-code) [i]✔
10Linear OA(3201, 749, F3, 50) (dual of [749, 548, 51]-code) [i]✔
11Linear OA(3202, 753, F3, 50) (dual of [753, 551, 51]-code) [i]✔
12Linear OA(3232, 765, F3, 58) (dual of [765, 533, 59]-code) [i]✔
13Linear OA(3204, 757, F3, 50) (dual of [757, 553, 51]-code) [i]✔
14Linear OA(3206, 763, F3, 50) (dual of [763, 557, 51]-code) [i]✔
15Linear OA(3241, 771, F3, 59) (dual of [771, 530, 60]-code) [i]✔
16Linear OA(3242, 775, F3, 59) (dual of [775, 533, 60]-code) [i]✔
17Linear OA(3210, 769, F3, 50) (dual of [769, 559, 51]-code) [i]✔
18Linear OA(3211, 771, F3, 50) (dual of [771, 560, 51]-code) [i]✔
19Linear OA(3212, 775, F3, 50) (dual of [775, 563, 51]-code) [i]✔
20Linear OA(3217, 786, F3, 50) (dual of [786, 569, 51]-code) [i]✔
21Linear OA(3220, 795, F3, 50) (dual of [795, 575, 51]-code) [i]✔
22Linear OA(3223, 804, F3, 50) (dual of [804, 581, 51]-code) [i]✔
23Linear OA(3240, 769, F3, 59) (dual of [769, 529, 60]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(3239, 767, F3, 59) (dual of [767, 528, 60]-code) [i]✔
25Linear OA(3231, 763, F3, 58) (dual of [763, 532, 59]-code) [i]✔
26Linear OA(3230, 761, F3, 58) (dual of [761, 531, 59]-code) [i]✔
27Linear OA(3229, 759, F3, 58) (dual of [759, 530, 59]-code) [i]✔
28Linear OA(3228, 757, F3, 58) (dual of [757, 529, 59]-code) [i]✔
29Linear OA(3227, 755, F3, 58) (dual of [755, 528, 59]-code) [i]✔
30Linear OA(3233, 767, F3, 58) (dual of [767, 534, 59]-code) [i]✔
31Linear OA(3218, 747, F3, 54) (dual of [747, 529, 55]-code) [i]✔
32Linear OA(3221, 749, F3, 56) (dual of [749, 528, 57]-code) [i]✔
33Linear OA(3217, 745, F3, 54) (dual of [745, 528, 55]-code) [i]✔
34Linear OA(3227, 763, F3, 56) (dual of [763, 536, 57]-code) [i]✔
35Linear OA(3224, 759, F3, 56) (dual of [759, 535, 57]-code) [i]✔
36Linear OA(3223, 757, F3, 56) (dual of [757, 534, 57]-code) [i]✔
37Linear OA(3210, 738, F3, 53) (dual of [738, 528, 54]-code) [i]✔
38Linear OA(3204, 738, F3, 52) (dual of [738, 534, 53]-code) [i]✔
39Linear OA(3198, 738, F3, 50) (dual of [738, 540, 51]-code) [i]✔