Information on Result #612070

Linear OA(3112, 729, F3, 29) (dual of [729, 617, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(3126, 744, F3, 29) (dual of [744, 618, 30]-code) [i](u, u+v)-Construction
2Linear OA(3130, 749, F3, 29) (dual of [749, 619, 30]-code) [i]
3Linear OA(3131, 751, F3, 29) (dual of [751, 620, 30]-code) [i]
4Linear OA(3132, 757, F3, 29) (dual of [757, 625, 30]-code) [i]
5Linear OA(3131, 749, F3, 29) (dual of [749, 618, 30]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(3119, 736, F3, 31) (dual of [736, 617, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(3112, 732, F3, 29) (dual of [732, 620, 30]-code) [i]✔
8Linear OA(3127, 742, F3, 32) (dual of [742, 615, 33]-code) [i]✔
9Linear OA(3128, 745, F3, 32) (dual of [745, 617, 33]-code) [i]✔
10Linear OA(3115, 741, F3, 29) (dual of [741, 626, 30]-code) [i]✔
11Linear OA(3137, 754, F3, 34) (dual of [754, 617, 35]-code) [i]✔
12Linear OA(3135, 749, F3, 33) (dual of [749, 614, 34]-code) [i]✔
13Linear OA(3117, 749, F3, 29) (dual of [749, 632, 30]-code) [i]✔
14Linear OA(3144, 757, F3, 35) (dual of [757, 613, 36]-code) [i]✔
15Linear OA(3146, 763, F3, 35) (dual of [763, 617, 36]-code) [i]✔
16Linear OA(3120, 757, F3, 29) (dual of [757, 637, 30]-code) [i]✔
17Linear OA(3122, 760, F3, 29) (dual of [760, 638, 30]-code) [i]✔
18Linear OA(3157, 770, F3, 37) (dual of [770, 613, 38]-code) [i]✔
19Linear OA(3158, 772, F3, 37) (dual of [772, 614, 38]-code) [i]✔
20Linear OA(3159, 776, F3, 37) (dual of [776, 617, 38]-code) [i]✔
21Linear OA(3126, 769, F3, 29) (dual of [769, 643, 30]-code) [i]✔
22Linear OA(3127, 771, F3, 29) (dual of [771, 644, 30]-code) [i]✔
23Linear OA(3169, 786, F3, 38) (dual of [786, 617, 39]-code) [i]✔
24Linear OA(3131, 777, F3, 29) (dual of [777, 646, 30]-code) [i]✔
25Linear OA(3132, 779, F3, 29) (dual of [779, 647, 30]-code) [i]✔
26Linear OA(3179, 796, F3, 40) (dual of [796, 617, 41]-code) [i]✔
27Linear OA(3187, 804, F3, 41) (dual of [804, 617, 42]-code) [i]✔
28Linear OA(3125, 769, F3, 29) (dual of [769, 644, 30]-code) [i]✔
29Linear OA(3152, 764, F3, 36) (dual of [764, 612, 37]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(3134, 747, F3, 33) (dual of [747, 613, 34]-code) [i]✔
31Linear OA(3136, 748, F3, 34) (dual of [748, 612, 35]-code) [i]✔
32Linear OA(3133, 745, F3, 33) (dual of [745, 612, 34]-code) [i]✔
33Linear OA(3126, 738, F3, 32) (dual of [738, 612, 33]-code) [i]✔
34Linear OA(3120, 738, F3, 31) (dual of [738, 618, 32]-code) [i]✔
35Linear OA(3114, 735, F3, 29) (dual of [735, 621, 30]-code) [i]✔
36Linear OA(3116, 743, F3, 29) (dual of [743, 627, 30]-code) [i]✔
37Linear OA(3125, 766, F3, 29) (dual of [766, 641, 30]-code) [i]✔
38Linear OA(3124, 764, F3, 29) (dual of [764, 640, 30]-code) [i]✔
39Linear OA(3123, 762, F3, 29) (dual of [762, 639, 30]-code) [i]✔