Information on Result #612290

Linear OA(3172, 729, F3, 44) (dual of [729, 557, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44

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(3194, 752, F3, 44) (dual of [752, 558, 45]-code) [i](u, u+v)-Construction
2Linear OA(3179, 736, F3, 46) (dual of [736, 557, 47]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3172, 735, F3, 44) (dual of [735, 563, 45]-code) [i]✔
4Linear OA(3187, 742, F3, 47) (dual of [742, 555, 48]-code) [i]✔
5Linear OA(3188, 745, F3, 47) (dual of [745, 557, 48]-code) [i]✔
6Linear OA(3175, 742, F3, 44) (dual of [742, 567, 45]-code) [i]✔
7Linear OA(3176, 745, F3, 44) (dual of [745, 569, 45]-code) [i]✔
8Linear OA(3197, 754, F3, 49) (dual of [754, 557, 50]-code) [i]✔
9Linear OA(3195, 749, F3, 48) (dual of [749, 554, 49]-code) [i]✔
10Linear OA(3177, 749, F3, 44) (dual of [749, 572, 45]-code) [i]✔
11Linear OA(3178, 753, F3, 44) (dual of [753, 575, 45]-code) [i]✔
12Linear OA(3204, 757, F3, 50) (dual of [757, 553, 51]-code) [i]✔
13Linear OA(3206, 763, F3, 50) (dual of [763, 557, 51]-code) [i]✔
14Linear OA(3180, 757, F3, 44) (dual of [757, 577, 45]-code) [i]✔
15Linear OA(3182, 763, F3, 44) (dual of [763, 581, 45]-code) [i]✔
16Linear OA(3217, 770, F3, 52) (dual of [770, 553, 53]-code) [i]✔
17Linear OA(3218, 772, F3, 52) (dual of [772, 554, 53]-code) [i]✔
18Linear OA(3219, 776, F3, 52) (dual of [776, 557, 53]-code) [i]✔
19Linear OA(3186, 769, F3, 44) (dual of [769, 583, 45]-code) [i]✔
20Linear OA(3187, 771, F3, 44) (dual of [771, 584, 45]-code) [i]✔
21Linear OA(3188, 775, F3, 44) (dual of [775, 587, 45]-code) [i]✔
22Linear OA(3229, 786, F3, 53) (dual of [786, 557, 54]-code) [i]✔
23Linear OA(3193, 786, F3, 44) (dual of [786, 593, 45]-code) [i]✔
24Linear OA(3241, 798, F3, 56) (dual of [798, 557, 57]-code) [i]✔
25Linear OA(3239, 796, F3, 55) (dual of [796, 557, 56]-code) [i]✔
26Linear OA(3248, 805, F3, 58) (dual of [805, 557, 59]-code) [i]✔
27Linear OA(3212, 764, F3, 51) (dual of [764, 552, 52]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
28Linear OA(3194, 747, F3, 48) (dual of [747, 553, 49]-code) [i]✔
29Linear OA(3196, 748, F3, 49) (dual of [748, 552, 50]-code) [i]✔
30Linear OA(3193, 745, F3, 48) (dual of [745, 552, 49]-code) [i]✔
31Linear OA(3186, 738, F3, 47) (dual of [738, 552, 48]-code) [i]✔
32Linear OA(3180, 738, F3, 46) (dual of [738, 558, 47]-code) [i]✔
33Linear OA(3174, 738, F3, 44) (dual of [738, 564, 45]-code) [i]✔