Information on Result #618068

Linear OA(3233, 1048577, F32, 9) (dual of [1048577, 1048544, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(3237, 1048610, F32, 9) (dual of [1048610, 1048573, 10]-code) [i](u, u+v)-Construction
2Linear OA(3238, 1048621, F32, 9) (dual of [1048621, 1048583, 10]-code) [i]
3Linear OA(3239, 1049569, F32, 9) (dual of [1049569, 1049530, 10]-code) [i]
4Linear OA(3240, 1049601, F32, 9) (dual of [1049601, 1049561, 10]-code) [i]
5Linear OA(3240, 1048643, F32, 9) (dual of [1048643, 1048603, 10]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(3237, 1048582, F32, 9) (dual of [1048582, 1048545, 10]-code) [i]✔Construction X with Cyclic Codes
7Linear OA(3242, 1048586, F32, 11) (dual of [1048586, 1048544, 12]-code) [i]✔
8Linear OA(3234, 1048586, F32, 9) (dual of [1048586, 1048552, 10]-code) [i]✔
9Linear OA(3252, 1048596, F32, 13) (dual of [1048596, 1048544, 14]-code) [i]✔
10Linear OA(3236, 1048596, F32, 9) (dual of [1048596, 1048560, 10]-code) [i]✔
11Linear OA(3262, 1048606, F32, 15) (dual of [1048606, 1048544, 16]-code) [i]✔
12Linear OA(3272, 1048610, F32, 17) (dual of [1048610, 1048538, 18]-code) [i]✔
13Linear OA(3273, 1048617, F32, 17) (dual of [1048617, 1048544, 18]-code) [i]✔
14Linear OA(3234, 1048587, F32, 9) (dual of [1048587, 1048553, 10]-code) [i]✔Construction X4 with Cyclic Codes
15Linear OOA(3233, 262144, F32, 9, 9) (dual of [(262144, 9), 2359263, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row