Information on Result #613680

Linear OA(561, 15626, F5, 13) (dual of [15626, 15565, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, 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(568, 15636, F5, 13) (dual of [15636, 15568, 14]-code) [i](u, u+v)-Construction
2Linear OA(569, 15639, F5, 13) (dual of [15639, 15570, 14]-code) [i]
3Linear OA(570, 15651, F5, 13) (dual of [15651, 15581, 14]-code) [i]
4Linear OA(567, 15633, F5, 13) (dual of [15633, 15566, 14]-code) [i]✔Construction X with Cyclic Codes
5Linear OA(574, 15639, F5, 15) (dual of [15639, 15565, 16]-code) [i]✔
6Linear OA(562, 15639, F5, 13) (dual of [15639, 15577, 14]-code) [i]✔
7Linear OA(589, 15652, F5, 17) (dual of [15652, 15563, 18]-code) [i]✔
8Linear OA(590, 15655, F5, 17) (dual of [15655, 15565, 18]-code) [i]✔
9Linear OA(568, 15647, F5, 13) (dual of [15647, 15579, 14]-code) [i]✔
10Linear OA(569, 15650, F5, 13) (dual of [15650, 15581, 14]-code) [i]✔
11Linear OA(570, 15653, F5, 13) (dual of [15653, 15583, 14]-code) [i]✔
12Linear OA(5111, 15676, F5, 21) (dual of [15676, 15565, 22]-code) [i]✔
13Linear OA(5109, 15674, F5, 20) (dual of [15674, 15565, 21]-code) [i]✔
14Linear OA(568, 15654, F5, 13) (dual of [15654, 15586, 14]-code) [i]✔
15Linear OA(569, 15658, F5, 13) (dual of [15658, 15589, 14]-code) [i]✔
16Linear OA(5108, 15671, F5, 20) (dual of [15671, 15563, 21]-code) [i]✔
17Linear OA(5110, 15675, F5, 21) (dual of [15675, 15565, 22]-code) [i]✔
18Linear OA(562, 15640, F5, 13) (dual of [15640, 15578, 14]-code) [i]✔Construction X4 with Cyclic Codes