Information on Result #612004

Linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(3116, 743, F3, 26) (dual of [743, 627, 27]-code) [i](u, u+v)-Construction
2Linear OA(3110, 736, F3, 28) (dual of [736, 626, 29]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3103, 735, F3, 26) (dual of [735, 632, 27]-code) [i]✔
4Linear OA(3115, 741, F3, 29) (dual of [741, 626, 30]-code) [i]✔
5Linear OA(3106, 742, F3, 26) (dual of [742, 636, 27]-code) [i]✔
6Linear OA(3107, 745, F3, 26) (dual of [745, 638, 27]-code) [i]✔
7Linear OA(3125, 751, F3, 31) (dual of [751, 626, 32]-code) [i]✔
8Linear OA(3123, 749, F3, 30) (dual of [749, 626, 31]-code) [i]✔
9Linear OA(3108, 749, F3, 26) (dual of [749, 641, 27]-code) [i]✔
10Linear OA(3109, 753, F3, 26) (dual of [753, 644, 27]-code) [i]✔
11Linear OA(3132, 757, F3, 32) (dual of [757, 625, 33]-code) [i]✔
12Linear OA(3134, 760, F3, 32) (dual of [760, 626, 33]-code) [i]✔
13Linear OA(3111, 757, F3, 26) (dual of [757, 646, 27]-code) [i]✔
14Linear OA(3113, 763, F3, 26) (dual of [763, 650, 27]-code) [i]✔
15Linear OA(3145, 770, F3, 34) (dual of [770, 625, 35]-code) [i]✔
16Linear OA(3146, 772, F3, 34) (dual of [772, 626, 35]-code) [i]✔
17Linear OA(3117, 769, F3, 26) (dual of [769, 652, 27]-code) [i]✔
18Linear OA(3118, 771, F3, 26) (dual of [771, 653, 27]-code) [i]✔
19Linear OA(3155, 777, F3, 35) (dual of [777, 622, 36]-code) [i]✔
20Linear OA(3156, 779, F3, 35) (dual of [779, 623, 36]-code) [i]✔
21Linear OA(3157, 783, F3, 35) (dual of [783, 626, 36]-code) [i]✔
22Linear OA(3167, 793, F3, 37) (dual of [793, 626, 38]-code) [i]✔
23Linear OA(3143, 767, F3, 33) (dual of [767, 624, 34]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(3144, 767, F3, 34) (dual of [767, 623, 35]-code) [i]✔
25Linear OA(3142, 765, F3, 33) (dual of [765, 623, 34]-code) [i]✔
26Linear OA(3143, 765, F3, 34) (dual of [765, 622, 35]-code) [i]✔
27Linear OA(3141, 763, F3, 33) (dual of [763, 622, 34]-code) [i]✔
28Linear OA(3142, 763, F3, 34) (dual of [763, 621, 35]-code) [i]✔
29Linear OA(3140, 761, F3, 33) (dual of [761, 621, 34]-code) [i]✔
30Linear OA(3137, 766, F3, 32) (dual of [766, 629, 33]-code) [i]✔
31Linear OA(3136, 764, F3, 32) (dual of [764, 628, 33]-code) [i]✔
32Linear OA(3135, 762, F3, 32) (dual of [762, 627, 33]-code) [i]✔
33Linear OA(3122, 744, F3, 30) (dual of [744, 622, 31]-code) [i]✔
34Linear OA(3123, 744, F3, 31) (dual of [744, 621, 32]-code) [i]✔
35Linear OA(3121, 742, F3, 30) (dual of [742, 621, 31]-code) [i]✔
36Linear OA(3114, 735, F3, 29) (dual of [735, 621, 30]-code) [i]✔
37Linear OA(3116, 743, F3, 29) (dual of [743, 627, 30]-code) [i]✔
38Linear OA(3111, 738, F3, 28) (dual of [738, 627, 29]-code) [i]✔
39Linear OA(3105, 738, F3, 26) (dual of [738, 633, 27]-code) [i]✔