Information on Result #611916

Linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3212, large, F3, 22) (dual of [large, large−212, 23]-code) [i]Code Embedding in Larger Space
2Linear OA(3213, large, F3, 22) (dual of [large, large−213, 23]-code) [i]
3Linear OA(3214, large, F3, 22) (dual of [large, large−214, 23]-code) [i]
4Linear OA(3215, large, F3, 22) (dual of [large, large−215, 23]-code) [i]
5Linear OA(3216, large, F3, 22) (dual of [large, large−216, 23]-code) [i]
6Linear OA(3217, large, F3, 22) (dual of [large, large−217, 23]-code) [i]
7Linear OA(3218, large, F3, 22) (dual of [large, large−218, 23]-code) [i]
8Linear OA(3219, large, F3, 22) (dual of [large, large−219, 23]-code) [i]
9Linear OA(3220, large, F3, 22) (dual of [large, large−220, 23]-code) [i]
10Linear OA(3221, large, F3, 22) (dual of [large, large−221, 23]-code) [i]
11Linear OA(3222, large, F3, 22) (dual of [large, large−222, 23]-code) [i]
12Linear OA(3223, large, F3, 22) (dual of [large, large−223, 23]-code) [i]
13Linear OA(3224, large, F3, 22) (dual of [large, large−224, 23]-code) [i]
14Linear OA(3225, large, F3, 22) (dual of [large, large−225, 23]-code) [i]
15Linear OA(3227, large, F3, 22) (dual of [large, large−227, 23]-code) [i]
16Linear OA(3228, large, F3, 22) (dual of [large, large−228, 23]-code) [i]
17Linear OA(3229, large, F3, 22) (dual of [large, large−229, 23]-code) [i]
18Linear OA(3230, large, F3, 22) (dual of [large, large−230, 23]-code) [i]
19Linear OA(3231, large, F3, 22) (dual of [large, large−231, 23]-code) [i]
20Linear OA(3232, large, F3, 22) (dual of [large, large−232, 23]-code) [i]
21Linear OA(3233, large, F3, 22) (dual of [large, large−233, 23]-code) [i]
22Linear OA(3234, large, F3, 22) (dual of [large, large−234, 23]-code) [i]
23Linear OA(3235, large, F3, 22) (dual of [large, large−235, 23]-code) [i]
24Linear OA(3236, large, F3, 22) (dual of [large, large−236, 23]-code) [i]
25Linear OA(3237, large, F3, 22) (dual of [large, large−237, 23]-code) [i]
26Linear OA(3238, large, F3, 22) (dual of [large, large−238, 23]-code) [i]
27Linear OA(3239, large, F3, 22) (dual of [large, large−239, 23]-code) [i]
28Linear OA(3242, large, F3, 22) (dual of [large, large−242, 23]-code) [i]
29Linear OA(3243, large, F3, 22) (dual of [large, large−243, 23]-code) [i]
30Linear OA(3244, large, F3, 22) (dual of [large, large−244, 23]-code) [i]
31Linear OA(3245, large, F3, 22) (dual of [large, large−245, 23]-code) [i]
32Linear OA(3246, large, F3, 22) (dual of [large, large−246, 23]-code) [i]
33Linear OA(3247, large, F3, 22) (dual of [large, large−247, 23]-code) [i]
34Linear OA(3248, large, F3, 22) (dual of [large, large−248, 23]-code) [i]
35Linear OA(3249, large, F3, 22) (dual of [large, large−249, 23]-code) [i]
36Linear OA(3250, large, F3, 22) (dual of [large, large−250, 23]-code) [i]
37Linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code) [i]OOA Folding
38Linear OOA(3211, 2796201, F3, 3, 22) (dual of [(2796201, 3), 8388392, 23]-NRT-code) [i]
39Linear OOA(3211, 2097150, F3, 4, 22) (dual of [(2097150, 4), 8388389, 23]-NRT-code) [i]
40Linear OOA(3211, 1677720, F3, 5, 22) (dual of [(1677720, 5), 8388389, 23]-NRT-code) [i]
41Linear OOA(3211, 762600, F3, 22, 22) (dual of [(762600, 22), 16776989, 23]-NRT-code) [i]OA Folding and Stacking