Information on Result #611719

Linear OA(397, 531442, F3, 13) (dual of [531442, 531345, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(396, 531441, F3, 12) (dual of [531441, 531345, 13]-code) [i]Truncation
2Linear OA(3103, 531449, F3, 13) (dual of [531449, 531346, 14]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(3122, 531467, F3, 15) (dual of [531467, 531345, 16]-code) [i]✔
4Linear OA(3100, 531446, F3, 13) (dual of [531446, 531346, 14]-code) [i]✔
5Linear OA(3101, 531452, F3, 13) (dual of [531452, 531351, 14]-code) [i]✔
6Linear OA(3102, 531462, F3, 13) (dual of [531462, 531360, 14]-code) [i]✔
7Linear OA(3103, 531472, F3, 13) (dual of [531472, 531369, 14]-code) [i]✔
8Linear OA(399, 531446, F3, 12) (dual of [531446, 531347, 13]-code) [i]✔
9Linear OA(3100, 531455, F3, 12) (dual of [531455, 531355, 13]-code) [i]✔
10Linear OA(3101, 531470, F3, 12) (dual of [531470, 531369, 13]-code) [i]✔
11Linear OA(3155, 531478, F3, 19) (dual of [531478, 531323, 20]-code) [i]✔
12Linear OA(3156, 531483, F3, 19) (dual of [531483, 531327, 20]-code) [i]✔
13Linear OA(3153, 531483, F3, 18) (dual of [531483, 531330, 19]-code) [i]✔
14Linear OA(3154, 531499, F3, 18) (dual of [531499, 531345, 19]-code) [i]✔
15Linear OA(3156, 531501, F3, 19) (dual of [531501, 531345, 20]-code) [i]✔
16Linear OA(3122, 531468, F3, 15) (dual of [531468, 531346, 16]-code) [i]✔Construction X4 with Cyclic Codes
17Linear OOA(397, 265721, F3, 2, 13) (dual of [(265721, 2), 531345, 14]-NRT-code) [i]OOA Folding