Information on Result #612043

Linear OA(3217, 531442, F3, 27) (dual of [531442, 531225, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound)

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(3230, 531456, F3, 27) (dual of [531456, 531226, 28]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3242, 531467, F3, 29) (dual of [531467, 531225, 30]-code) [i]✔
3Linear OA(3244, 531446, F3, 31) (dual of [531446, 531202, 32]-code) [i]✔
4Linear OA(3245, 531452, F3, 31) (dual of [531452, 531207, 32]-code) [i]✔
5Linear OA(3246, 531462, F3, 31) (dual of [531462, 531216, 32]-code) [i]✔
6Linear OA(3247, 531472, F3, 31) (dual of [531472, 531225, 32]-code) [i]✔
7Linear OA(3243, 531446, F3, 30) (dual of [531446, 531203, 31]-code) [i]✔
8Linear OA(3244, 531455, F3, 30) (dual of [531455, 531211, 31]-code) [i]✔
9Linear OA(3245, 531470, F3, 30) (dual of [531470, 531225, 31]-code) [i]✔
10Linear OA(3218, 531467, F3, 27) (dual of [531467, 531249, 28]-code) [i]✔
11Linear OA(3227, 531478, F3, 27) (dual of [531478, 531251, 28]-code) [i]✔
12Linear OA(3228, 531483, F3, 27) (dual of [531483, 531255, 28]-code) [i]✔
13Linear OA(3229, 531498, F3, 27) (dual of [531498, 531269, 28]-code) [i]✔
14Linear OA(3230, 531503, F3, 27) (dual of [531503, 531273, 28]-code) [i]✔
15Linear OA(3228, 531501, F3, 27) (dual of [531501, 531273, 28]-code) [i]✔
16Linear OA(3233, 531524, F3, 27) (dual of [531524, 531291, 28]-code) [i]✔
17Linear OOA(3217, 40880, F3, 27, 27) (dual of [(40880, 27), 1103543, 28]-NRT-code) [i]OOA Folding and Stacking with Additional Row