Information on Result #705369

Linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3216, 796, F3, 50) (dual of [796, 580, 51]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3214, 790, F3, 50) (dual of [790, 576, 51]-code) [i]✔
3Linear OA(3178, 740, F3, 45) (dual of [740, 562, 46]-code) [i]✔
4Linear OA(3226, 799, F3, 51) (dual of [799, 573, 52]-code) [i]✔
5Linear OA(3212, 786, F3, 50) (dual of [786, 574, 51]-code) [i]✔
6Linear OA(3210, 780, F3, 50) (dual of [780, 570, 51]-code) [i]✔
7Linear OA(3188, 750, F3, 47) (dual of [750, 562, 48]-code) [i]✔
8Linear OA(3187, 747, F3, 47) (dual of [747, 560, 48]-code) [i]✔
9Linear OA(3222, 789, F3, 51) (dual of [789, 567, 52]-code) [i]✔
10Linear OA(3208, 772, F3, 50) (dual of [772, 564, 51]-code) [i]✔
11Linear OA(3196, 758, F3, 48) (dual of [758, 562, 49]-code) [i]✔
12Linear OA(3195, 754, F3, 48) (dual of [754, 559, 49]-code) [i]✔
13Linear OA(3206, 768, F3, 50) (dual of [768, 562, 51]-code) [i]✔
14Linear OA(3204, 762, F3, 50) (dual of [762, 558, 51]-code) [i]✔
15Linear OA(3216, 771, F3, 51) (dual of [771, 555, 52]-code) [i]✔
16Linear OA(3195, 751, F3, 49) (dual of [751, 556, 50]-code) [i]✔
17Linear OA(3192, 748, F3, 48) (dual of [748, 556, 49]-code) [i]✔
18Linear OA(3194, 748, F3, 49) (dual of [748, 554, 50]-code) [i]✔
19Linear OA(3202, 755, F3, 50) (dual of [755, 553, 51]-code) [i]✔
20Linear OA(3213, 769, F3, 52) (dual of [769, 556, 53]-code) [i]✔
21Linear OA(3211, 763, F3, 52) (dual of [763, 552, 53]-code) [i]✔
22Linear OA(3223, 772, F3, 53) (dual of [772, 549, 54]-code) [i]✔
23Linear OA(3220, 772, F3, 53) (dual of [772, 552, 54]-code) [i]✔
24Linear OA(3231, 787, F3, 55) (dual of [787, 556, 56]-code) [i]✔
25Linear OA(3229, 785, F3, 54) (dual of [785, 556, 55]-code) [i]✔
26Linear OA(3229, 781, F3, 55) (dual of [781, 552, 56]-code) [i]✔
27Linear OA(3240, 796, F3, 56) (dual of [796, 556, 57]-code) [i]✔