Information on Result #702467

Linear OA(2172, 511, F2, 41) (dual of [511, 339, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2202, 559, F2, 45) (dual of [559, 357, 46]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2201, 551, F2, 45) (dual of [551, 350, 46]-code) [i]✔
3Linear OA(2183, 531, F2, 43) (dual of [531, 348, 44]-code) [i]✔
4Linear OA(2216, 571, F2, 46) (dual of [571, 355, 47]-code) [i]✔
5Linear OA(2216, 568, F2, 47) (dual of [568, 352, 48]-code) [i]✔
6Linear OA(2197, 545, F2, 45) (dual of [545, 348, 46]-code) [i]✔
7Linear OA(2196, 537, F2, 45) (dual of [537, 341, 46]-code) [i]✔
8Linear OA(2211, 557, F2, 46) (dual of [557, 346, 47]-code) [i]✔
9Linear OA(2211, 554, F2, 47) (dual of [554, 343, 48]-code) [i]✔
10Linear OA(2192, 531, F2, 45) (dual of [531, 339, 46]-code) [i]✔
11Linear OA(2206, 545, F2, 47) (dual of [545, 339, 48]-code) [i]✔
12Linear OA(2205, 537, F2, 47) (dual of [537, 332, 48]-code) [i]✔
13Linear OA(2220, 557, F2, 48) (dual of [557, 337, 49]-code) [i]✔
14Linear OA(2220, 554, F2, 49) (dual of [554, 334, 50]-code) [i]✔
15Linear OA(2220, 559, F2, 49) (dual of [559, 339, 50]-code) [i]✔
16Linear OA(2219, 551, F2, 49) (dual of [551, 332, 50]-code) [i]✔
17Linear OOA(2172, 170, F2, 3, 41) (dual of [(170, 3), 338, 42]-NRT-code) [i]OOA Folding
18Linear OOA(2172, 102, F2, 5, 41) (dual of [(102, 5), 338, 42]-NRT-code) [i]