Information on Result #705421

Linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,45}, and designed minimum distance d ≥ |I|+1 = 53

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(3222, 796, F3, 51) (dual of [796, 574, 52]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3226, 799, F3, 52) (dual of [799, 573, 53]-code) [i]✔
3Linear OA(3220, 790, F3, 51) (dual of [790, 570, 52]-code) [i]✔
4Linear OA(3225, 794, F3, 52) (dual of [794, 569, 53]-code) [i]✔
5Linear OA(3219, 787, F3, 51) (dual of [787, 568, 52]-code) [i]✔
6Linear OA(3223, 790, F3, 52) (dual of [790, 567, 53]-code) [i]✔
7Linear OA(3217, 781, F3, 51) (dual of [781, 564, 52]-code) [i]✔
8Linear OA(3222, 785, F3, 52) (dual of [785, 563, 53]-code) [i]✔
9Linear OA(3216, 778, F3, 51) (dual of [778, 562, 52]-code) [i]✔
10Linear OA(3220, 781, F3, 52) (dual of [781, 561, 53]-code) [i]✔
11Linear OA(3214, 772, F3, 51) (dual of [772, 558, 52]-code) [i]✔
12Linear OA(3213, 769, F3, 51) (dual of [769, 556, 52]-code) [i]✔
13Linear OA(3217, 772, F3, 52) (dual of [772, 555, 53]-code) [i]✔
14Linear OA(3211, 763, F3, 51) (dual of [763, 552, 52]-code) [i]✔
15Linear OA(3222, 796, F3, 52) (dual of [796, 574, 53]-code) [i]✔
16Linear OA(3220, 794, F3, 51) (dual of [794, 574, 52]-code) [i]✔
17Linear OA(3220, 790, F3, 52) (dual of [790, 570, 53]-code) [i]✔
18Linear OA(3218, 788, F3, 51) (dual of [788, 570, 52]-code) [i]✔
19Linear OA(3219, 787, F3, 52) (dual of [787, 568, 53]-code) [i]✔
20Linear OA(3217, 785, F3, 51) (dual of [785, 568, 52]-code) [i]✔
21Linear OA(3217, 781, F3, 52) (dual of [781, 564, 53]-code) [i]✔
22Linear OA(3216, 778, F3, 52) (dual of [778, 562, 53]-code) [i]✔
23Linear OA(3213, 775, F3, 51) (dual of [775, 562, 52]-code) [i]✔
24Linear OA(3214, 772, F3, 52) (dual of [772, 558, 53]-code) [i]✔
25Linear OA(3211, 769, F3, 51) (dual of [769, 558, 52]-code) [i]✔
26Linear OA(3213, 769, F3, 52) (dual of [769, 556, 53]-code) [i]✔
27Linear OA(3211, 763, F3, 52) (dual of [763, 552, 53]-code) [i]✔
28Linear OA(3222, 771, F3, 53) (dual of [771, 549, 54]-code) [i]✔
29Linear OA(3218, 768, F3, 53) (dual of [768, 550, 54]-code) [i]✔
30Linear OA(3216, 762, F3, 53) (dual of [762, 546, 54]-code) [i]✔
31Linear OA(3228, 778, F3, 54) (dual of [778, 550, 55]-code) [i]✔
32Linear OA(3232, 781, F3, 55) (dual of [781, 549, 56]-code) [i]✔
33Linear OA(3226, 772, F3, 54) (dual of [772, 546, 55]-code) [i]✔
34Linear OA(3228, 778, F3, 55) (dual of [778, 550, 56]-code) [i]✔
35Linear OA(3225, 775, F3, 54) (dual of [775, 550, 55]-code) [i]✔
36Linear OA(3226, 772, F3, 55) (dual of [772, 546, 56]-code) [i]✔
37Linear OA(3223, 769, F3, 54) (dual of [769, 546, 55]-code) [i]✔
38Linear OA(3234, 780, F3, 56) (dual of [780, 546, 57]-code) [i]✔
39Linear OOA(3202, 364, F3, 2, 52) (dual of [(364, 2), 526, 53]-NRT-code) [i]OOA Folding
40Linear OOA(3202, 182, F3, 4, 52) (dual of [(182, 4), 526, 53]-NRT-code) [i]