Information on Result #704718

Linear OA(3142, 728, F3, 37) (dual of [728, 586, 38]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,30}, and designed minimum distance d ≥ |I|+1 = 38

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(3162, 793, F3, 36) (dual of [793, 631, 37]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3166, 796, F3, 37) (dual of [796, 630, 38]-code) [i]✔
3Linear OA(3160, 787, F3, 36) (dual of [787, 627, 37]-code) [i]✔
4Linear OA(3159, 784, F3, 36) (dual of [784, 625, 37]-code) [i]✔
5Linear OA(3163, 787, F3, 37) (dual of [787, 624, 38]-code) [i]✔
6Linear OA(3157, 778, F3, 36) (dual of [778, 621, 37]-code) [i]✔
7Linear OA(3155, 774, F3, 36) (dual of [774, 619, 37]-code) [i]✔
8Linear OA(3159, 777, F3, 37) (dual of [777, 618, 38]-code) [i]✔
9Linear OA(3153, 768, F3, 36) (dual of [768, 615, 37]-code) [i]✔
10Linear OA(3153, 769, F3, 36) (dual of [769, 616, 37]-code) [i]✔
11Linear OA(3157, 772, F3, 37) (dual of [772, 615, 38]-code) [i]✔
12Linear OA(3151, 763, F3, 36) (dual of [763, 612, 37]-code) [i]✔
13Linear OA(3162, 793, F3, 37) (dual of [793, 631, 38]-code) [i]✔
14Linear OA(3160, 791, F3, 36) (dual of [791, 631, 37]-code) [i]✔
15Linear OA(3160, 787, F3, 37) (dual of [787, 627, 38]-code) [i]✔
16Linear OA(3158, 785, F3, 36) (dual of [785, 627, 37]-code) [i]✔
17Linear OA(3159, 784, F3, 37) (dual of [784, 625, 38]-code) [i]✔
18Linear OA(3157, 778, F3, 37) (dual of [778, 621, 38]-code) [i]✔
19Linear OA(3155, 774, F3, 37) (dual of [774, 619, 38]-code) [i]✔
20Linear OA(3153, 772, F3, 36) (dual of [772, 619, 37]-code) [i]✔
21Linear OA(3153, 768, F3, 37) (dual of [768, 615, 38]-code) [i]✔
22Linear OA(3151, 766, F3, 36) (dual of [766, 615, 37]-code) [i]✔
23Linear OA(3153, 769, F3, 37) (dual of [769, 616, 38]-code) [i]✔
24Linear OA(3151, 767, F3, 36) (dual of [767, 616, 37]-code) [i]✔
25Linear OA(3151, 763, F3, 37) (dual of [763, 612, 38]-code) [i]✔
26Linear OA(3162, 771, F3, 38) (dual of [771, 609, 39]-code) [i]✔
27Linear OA(3158, 768, F3, 38) (dual of [768, 610, 39]-code) [i]✔
28Linear OA(3156, 762, F3, 38) (dual of [762, 606, 39]-code) [i]✔
29Linear OA(3168, 778, F3, 39) (dual of [778, 610, 40]-code) [i]✔
30Linear OA(3172, 781, F3, 40) (dual of [781, 609, 41]-code) [i]✔
31Linear OA(3166, 772, F3, 39) (dual of [772, 606, 40]-code) [i]✔
32Linear OA(3168, 778, F3, 40) (dual of [778, 610, 41]-code) [i]✔
33Linear OA(3165, 775, F3, 39) (dual of [775, 610, 40]-code) [i]✔
34Linear OA(3166, 772, F3, 40) (dual of [772, 606, 41]-code) [i]✔
35Linear OA(3163, 769, F3, 39) (dual of [769, 606, 40]-code) [i]✔
36Linear OA(3180, 789, F3, 41) (dual of [789, 609, 42]-code) [i]✔
37Linear OA(3179, 784, F3, 41) (dual of [784, 605, 42]-code) [i]✔
38Linear OA(3176, 786, F3, 41) (dual of [786, 610, 42]-code) [i]✔
39Linear OA(3174, 780, F3, 41) (dual of [780, 606, 42]-code) [i]✔
40Linear OA(3186, 796, F3, 42) (dual of [796, 610, 43]-code) [i]✔
41Linear OA(3184, 790, F3, 42) (dual of [790, 606, 43]-code) [i]✔
42Linear OA(3189, 794, F3, 43) (dual of [794, 605, 44]-code) [i]✔
43Linear OA(3186, 796, F3, 43) (dual of [796, 610, 44]-code) [i]✔
44Linear OA(3184, 794, F3, 42) (dual of [794, 610, 43]-code) [i]✔
45Linear OA(3184, 790, F3, 43) (dual of [790, 606, 44]-code) [i]✔
46Linear OA(3182, 788, F3, 42) (dual of [788, 606, 43]-code) [i]✔
47Linear OOA(3142, 364, F3, 2, 37) (dual of [(364, 2), 586, 38]-NRT-code) [i]OOA Folding
48Linear OOA(3142, 182, F3, 4, 37) (dual of [(182, 4), 586, 38]-NRT-code) [i]
49Linear OOA(3142, 145, F3, 5, 37) (dual of [(145, 5), 583, 38]-NRT-code) [i]