Information on Result #613646

Linear OA(565, 390626, F5, 11) (dual of [390626, 390561, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(564, 390625, F5, 10) (dual of [390625, 390561, 11]-code) [i]Truncation
2Linear OA(571, 390638, F5, 11) (dual of [390638, 390567, 12]-code) [i](u, u+v)-Construction
3Linear OA(572, 390647, F5, 11) (dual of [390647, 390575, 12]-code) [i]
4Linear OA(570, 390632, F5, 11) (dual of [390632, 390562, 12]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(582, 390643, F5, 13) (dual of [390643, 390561, 14]-code) [i]✔
6Linear OA(568, 390632, F5, 11) (dual of [390632, 390564, 12]-code) [i]✔
7Linear OA(569, 390646, F5, 11) (dual of [390646, 390577, 12]-code) [i]✔
8Linear OA(567, 390632, F5, 10) (dual of [390632, 390565, 11]-code) [i]✔
9Linear OA(5101, 390652, F5, 15) (dual of [390652, 390551, 16]-code) [i]✔
10Linear OA(5102, 390663, F5, 15) (dual of [390663, 390561, 16]-code) [i]✔
11Linear OA(582, 390644, F5, 13) (dual of [390644, 390562, 14]-code) [i]✔Construction X4 with Cyclic Codes
12Linear OOA(565, 195313, F5, 2, 11) (dual of [(195313, 2), 390561, 12]-NRT-code) [i]OOA Folding
13Linear OOA(565, 78125, F5, 11, 11) (dual of [(78125, 11), 859310, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row