Information on Result #611930

Linear OA(391, 729, F3, 23) (dual of [729, 638, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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(3102, 741, F3, 23) (dual of [741, 639, 24]-code) [i](u, u+v)-Construction
2Linear OA(398, 736, F3, 25) (dual of [736, 638, 26]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(391, 735, F3, 23) (dual of [735, 644, 24]-code) [i]✔
4Linear OA(3106, 742, F3, 26) (dual of [742, 636, 27]-code) [i]✔
5Linear OA(3107, 745, F3, 26) (dual of [745, 638, 27]-code) [i]✔
6Linear OA(394, 742, F3, 23) (dual of [742, 648, 24]-code) [i]✔
7Linear OA(395, 745, F3, 23) (dual of [745, 650, 24]-code) [i]✔
8Linear OA(3116, 754, F3, 28) (dual of [754, 638, 29]-code) [i]✔
9Linear OA(3114, 749, F3, 27) (dual of [749, 635, 28]-code) [i]✔
10Linear OA(396, 749, F3, 23) (dual of [749, 653, 24]-code) [i]✔
11Linear OA(397, 753, F3, 23) (dual of [753, 656, 24]-code) [i]✔
12Linear OA(3120, 757, F3, 29) (dual of [757, 637, 30]-code) [i]✔
13Linear OA(3122, 760, F3, 29) (dual of [760, 638, 30]-code) [i]✔
14Linear OA(399, 757, F3, 23) (dual of [757, 658, 24]-code) [i]✔
15Linear OA(3101, 763, F3, 23) (dual of [763, 662, 24]-code) [i]✔
16Linear OA(3133, 770, F3, 31) (dual of [770, 637, 32]-code) [i]✔
17Linear OA(3134, 772, F3, 31) (dual of [772, 638, 32]-code) [i]✔
18Linear OA(3143, 777, F3, 32) (dual of [777, 634, 33]-code) [i]✔
19Linear OA(3144, 779, F3, 32) (dual of [779, 635, 33]-code) [i]✔
20Linear OA(3145, 783, F3, 32) (dual of [783, 638, 33]-code) [i]✔
21Linear OA(3131, 767, F3, 30) (dual of [767, 636, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(3132, 767, F3, 31) (dual of [767, 635, 32]-code) [i]✔
23Linear OA(3130, 765, F3, 30) (dual of [765, 635, 31]-code) [i]✔
24Linear OA(3131, 765, F3, 31) (dual of [765, 634, 32]-code) [i]✔
25Linear OA(3129, 763, F3, 30) (dual of [763, 634, 31]-code) [i]✔
26Linear OA(3130, 763, F3, 31) (dual of [763, 633, 32]-code) [i]✔
27Linear OA(3128, 761, F3, 30) (dual of [761, 633, 31]-code) [i]✔
28Linear OA(3125, 766, F3, 29) (dual of [766, 641, 30]-code) [i]✔
29Linear OA(3124, 764, F3, 29) (dual of [764, 640, 30]-code) [i]✔
30Linear OA(3123, 762, F3, 29) (dual of [762, 639, 30]-code) [i]✔
31Linear OA(3113, 747, F3, 27) (dual of [747, 634, 28]-code) [i]✔
32Linear OA(3115, 748, F3, 28) (dual of [748, 633, 29]-code) [i]✔
33Linear OA(3105, 738, F3, 26) (dual of [738, 633, 27]-code) [i]✔
34Linear OA(399, 738, F3, 25) (dual of [738, 639, 26]-code) [i]✔
35Linear OA(393, 738, F3, 23) (dual of [738, 645, 24]-code) [i]✔