Information on Result #704867

Linear OA(3154, 728, F3, 40) (dual of [728, 574, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {−6,−5,…,33}, and designed minimum distance d ≥ |I|+1 = 41

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(3174, 793, F3, 39) (dual of [793, 619, 40]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(3178, 796, F3, 40) (dual of [796, 618, 41]-code) [i]✔
3Linear OA(3172, 787, F3, 39) (dual of [787, 615, 40]-code) [i]✔
4Linear OA(3171, 787, F3, 39) (dual of [787, 616, 40]-code) [i]✔
5Linear OA(3175, 790, F3, 40) (dual of [790, 615, 41]-code) [i]✔
6Linear OA(3169, 781, F3, 39) (dual of [781, 612, 40]-code) [i]✔
7Linear OA(3174, 785, F3, 40) (dual of [785, 611, 41]-code) [i]✔
8Linear OA(3168, 778, F3, 39) (dual of [778, 610, 40]-code) [i]✔
9Linear OA(3172, 781, F3, 40) (dual of [781, 609, 41]-code) [i]✔
10Linear OA(3166, 772, F3, 39) (dual of [772, 606, 40]-code) [i]✔
11Linear OA(3165, 769, F3, 39) (dual of [769, 604, 40]-code) [i]✔
12Linear OA(3169, 772, F3, 40) (dual of [772, 603, 41]-code) [i]✔
13Linear OA(3163, 763, F3, 39) (dual of [763, 600, 40]-code) [i]✔
14Linear OA(3174, 793, F3, 40) (dual of [793, 619, 41]-code) [i]✔
15Linear OA(3172, 791, F3, 39) (dual of [791, 619, 40]-code) [i]✔
16Linear OA(3172, 787, F3, 40) (dual of [787, 615, 41]-code) [i]✔
17Linear OA(3171, 787, F3, 40) (dual of [787, 616, 41]-code) [i]✔
18Linear OA(3169, 785, F3, 39) (dual of [785, 616, 40]-code) [i]✔
19Linear OA(3169, 781, F3, 40) (dual of [781, 612, 41]-code) [i]✔
20Linear OA(3168, 778, F3, 40) (dual of [778, 610, 41]-code) [i]✔
21Linear OA(3165, 775, F3, 39) (dual of [775, 610, 40]-code) [i]✔
22Linear OA(3166, 772, F3, 40) (dual of [772, 606, 41]-code) [i]✔
23Linear OA(3163, 769, F3, 39) (dual of [769, 606, 40]-code) [i]✔
24Linear OA(3165, 769, F3, 40) (dual of [769, 604, 41]-code) [i]✔
25Linear OA(3163, 763, F3, 40) (dual of [763, 600, 41]-code) [i]✔
26Linear OA(3174, 771, F3, 41) (dual of [771, 597, 42]-code) [i]✔
27Linear OA(3170, 768, F3, 41) (dual of [768, 598, 42]-code) [i]✔
28Linear OA(3168, 762, F3, 41) (dual of [762, 594, 42]-code) [i]✔
29Linear OA(3180, 778, F3, 42) (dual of [778, 598, 43]-code) [i]✔
30Linear OA(3184, 781, F3, 43) (dual of [781, 597, 44]-code) [i]✔
31Linear OA(3178, 772, F3, 42) (dual of [772, 594, 43]-code) [i]✔
32Linear OA(3180, 778, F3, 43) (dual of [778, 598, 44]-code) [i]✔
33Linear OA(3177, 775, F3, 42) (dual of [775, 598, 43]-code) [i]✔
34Linear OA(3178, 772, F3, 43) (dual of [772, 594, 44]-code) [i]✔
35Linear OA(3175, 769, F3, 42) (dual of [769, 594, 43]-code) [i]✔
36Linear OA(3192, 789, F3, 44) (dual of [789, 597, 45]-code) [i]✔
37Linear OA(3191, 784, F3, 44) (dual of [784, 593, 45]-code) [i]✔
38Linear OA(3188, 786, F3, 44) (dual of [786, 598, 45]-code) [i]✔
39Linear OA(3186, 780, F3, 44) (dual of [780, 594, 45]-code) [i]✔
40Linear OA(3198, 796, F3, 45) (dual of [796, 598, 46]-code) [i]✔
41Linear OA(3202, 799, F3, 46) (dual of [799, 597, 47]-code) [i]✔
42Linear OA(3196, 790, F3, 45) (dual of [790, 594, 46]-code) [i]✔
43Linear OA(3201, 794, F3, 46) (dual of [794, 593, 47]-code) [i]✔
44Linear OA(3198, 796, F3, 46) (dual of [796, 598, 47]-code) [i]✔
45Linear OA(3196, 794, F3, 45) (dual of [794, 598, 46]-code) [i]✔
46Linear OA(3196, 790, F3, 46) (dual of [790, 594, 47]-code) [i]✔
47Linear OA(3194, 788, F3, 45) (dual of [788, 594, 46]-code) [i]✔
48Linear OOA(3154, 364, F3, 2, 40) (dual of [(364, 2), 574, 41]-NRT-code) [i]OOA Folding
49Linear OOA(3154, 182, F3, 4, 40) (dual of [(182, 4), 574, 41]-NRT-code) [i]
50Linear OOA(3154, 145, F3, 5, 40) (dual of [(145, 5), 571, 41]-NRT-code) [i]