Information on Result #611831

Linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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, 6561, F3, 18) (dual of [6561, 6465, 19]-code) [i]Truncation
2Linear OA(3106, 6572, F3, 19) (dual of [6572, 6466, 20]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(3114, 6579, F3, 21) (dual of [6579, 6465, 22]-code) [i]✔
4Linear OA(398, 6579, F3, 17) (dual of [6579, 6481, 18]-code) [i]✔
5Linear OA(3100, 6566, F3, 19) (dual of [6566, 6466, 20]-code) [i]✔
6Linear OA(3101, 6572, F3, 19) (dual of [6572, 6471, 20]-code) [i]✔
7Linear OA(3102, 6582, F3, 19) (dual of [6582, 6480, 20]-code) [i]✔
8Linear OA(3103, 6584, F3, 19) (dual of [6584, 6481, 20]-code) [i]✔
9Linear OA(399, 6566, F3, 18) (dual of [6566, 6467, 19]-code) [i]✔
10Linear OA(3100, 6575, F3, 18) (dual of [6575, 6475, 19]-code) [i]✔
11Linear OA(3101, 6582, F3, 18) (dual of [6582, 6481, 19]-code) [i]✔
12Linear OA(3137, 6590, F3, 25) (dual of [6590, 6453, 26]-code) [i]✔
13Linear OA(3139, 6598, F3, 25) (dual of [6598, 6459, 26]-code) [i]✔
14Linear OA(3140, 6603, F3, 25) (dual of [6603, 6463, 26]-code) [i]✔
15Linear OA(3141, 6606, F3, 25) (dual of [6606, 6465, 26]-code) [i]✔
16Linear OA(3137, 6602, F3, 24) (dual of [6602, 6465, 25]-code) [i]✔
17Linear OA(3105, 6590, F3, 19) (dual of [6590, 6485, 20]-code) [i]✔
18Linear OA(3107, 6598, F3, 19) (dual of [6598, 6491, 20]-code) [i]✔
19Linear OA(3105, 6602, F3, 18) (dual of [6602, 6497, 19]-code) [i]✔
20Linear OA(3139, 6601, F3, 25) (dual of [6601, 6462, 26]-code) [i]✔
21Linear OA(3140, 6605, F3, 25) (dual of [6605, 6465, 26]-code) [i]✔
22Linear OA(3107, 6601, F3, 19) (dual of [6601, 6494, 20]-code) [i]✔
23Linear OA(398, 6580, F3, 17) (dual of [6580, 6482, 18]-code) [i]✔Construction X4 with Cyclic Codes
24Linear OOA(397, 3281, F3, 2, 19) (dual of [(3281, 2), 6465, 20]-NRT-code) [i]OOA Folding
25Linear OOA(397, 729, F3, 19, 19) (dual of [(729, 19), 13754, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row