Information on Result #673503

Linear OA(2129, 257, F2, 37) (dual of [257, 128, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(2146, 274, F2, 39) (dual of [274, 128, 40]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2149, 265, F2, 41) (dual of [265, 116, 42]-code) [i]✔
3Linear OA(2150, 273, F2, 41) (dual of [273, 123, 42]-code) [i]✔
4Linear OA(2151, 279, F2, 41) (dual of [279, 128, 42]-code) [i]✔
5Linear OA(2140, 273, F2, 37) (dual of [273, 133, 38]-code) [i]✔
6Linear OA(2141, 281, F2, 37) (dual of [281, 140, 38]-code) [i]✔
7Linear OA(2144, 285, F2, 37) (dual of [285, 141, 38]-code) [i]✔
8Linear OA(2145, 289, F2, 37) (dual of [289, 144, 38]-code) [i]✔
9Linear OA(2137, 269, F2, 35) (dual of [269, 132, 36]-code) [i]✔
10Linear OA(2138, 275, F2, 35) (dual of [275, 137, 36]-code) [i]✔
11Linear OA(2140, 284, F2, 35) (dual of [284, 144, 36]-code) [i]✔
12Linear OA(2134, 273, F2, 33) (dual of [273, 139, 34]-code) [i]✔
13Linear OA(2135, 279, F2, 33) (dual of [279, 144, 34]-code) [i]✔