Information on Result #611913

Linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3168, 531440, F3, 21) (dual of [531440, 531272, 22]-code) [i]Truncation
2Linear OA(3180, 531453, F3, 22) (dual of [531453, 531273, 23]-code) [i](u, u+v)-Construction
3Linear OA(3181, 531453, F3, 23) (dual of [531453, 531272, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(3170, 531454, F3, 22) (dual of [531454, 531284, 23]-code) [i]✔
5Linear OA(3194, 531466, F3, 24) (dual of [531466, 531272, 25]-code) [i]✔
6Linear OA(3197, 531469, F3, 25) (dual of [531469, 531272, 26]-code) [i]✔
7Linear OA(3173, 531469, F3, 22) (dual of [531469, 531296, 23]-code) [i]✔
8Linear OA(3211, 531483, F3, 26) (dual of [531483, 531272, 27]-code) [i]✔
9Linear OA(3177, 531482, F3, 22) (dual of [531482, 531305, 23]-code) [i]✔
10Linear OA(3178, 531486, F3, 22) (dual of [531486, 531308, 23]-code) [i]✔
11Linear OA(3175, 531483, F3, 21) (dual of [531483, 531308, 22]-code) [i]✔
12Linear OA(3229, 531497, F3, 28) (dual of [531497, 531268, 29]-code) [i]✔
13Linear OA(3230, 531502, F3, 28) (dual of [531502, 531272, 29]-code) [i]✔
14Linear OA(3226, 531498, F3, 27) (dual of [531498, 531272, 28]-code) [i]✔
15Linear OA(3181, 531497, F3, 22) (dual of [531497, 531316, 23]-code) [i]✔
16Linear OA(3182, 531502, F3, 22) (dual of [531502, 531320, 23]-code) [i]✔
17Linear OA(3178, 531498, F3, 21) (dual of [531498, 531320, 22]-code) [i]✔
18Linear OA(3245, 531517, F3, 29) (dual of [531517, 531272, 30]-code) [i]✔
19Linear OA(3228, 531500, F3, 28) (dual of [531500, 531272, 29]-code) [i]✔
20Linear OA(3180, 531500, F3, 22) (dual of [531500, 531320, 23]-code) [i]✔
21Linear OA(3244, 531516, F3, 29) (dual of [531516, 531272, 30]-code) [i]✔
22Linear OA(3194, 531467, F3, 24) (dual of [531467, 531273, 25]-code) [i]✔Construction X4 with Extended Narrow-Sense BCH Codes
23Linear OOA(3169, 265720, F3, 2, 22) (dual of [(265720, 2), 531271, 23]-NRT-code) [i]OOA Folding
24Linear OOA(3169, 177147, F3, 3, 22) (dual of [(177147, 3), 531272, 23]-NRT-code) [i]
25Linear OOA(3169, 132860, F3, 4, 22) (dual of [(132860, 4), 531271, 23]-NRT-code) [i]
26Linear OOA(3169, 106288, F3, 5, 22) (dual of [(106288, 5), 531271, 23]-NRT-code) [i]
27Linear OOA(3169, 48312, F3, 22, 22) (dual of [(48312, 22), 1062695, 23]-NRT-code) [i]OA Folding and Stacking