Information on Result #723088

Linear OA(2511, 624, F25, 6) (dual of [624, 613, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7

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(2513, 628, F25, 7) (dual of [628, 615, 8]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2516, 631, F25, 8) (dual of [631, 615, 9]-code) [i]✔
3Linear OA(2519, 634, F25, 9) (dual of [634, 615, 10]-code) [i]✔
4Linear OA(2522, 637, F25, 10) (dual of [637, 615, 11]-code) [i]✔
5Linear OA(2525, 640, F25, 11) (dual of [640, 615, 12]-code) [i]✔
6Linear OA(2528, 643, F25, 12) (dual of [643, 615, 13]-code) [i]✔
7Linear OA(2515, 628, F25, 8) (dual of [628, 613, 9]-code) [i]✔
8Linear OA(2521, 634, F25, 10) (dual of [634, 613, 11]-code) [i]✔
9Linear OA(2527, 640, F25, 12) (dual of [640, 613, 13]-code) [i]✔
10Linear OA(2533, 646, F25, 14) (dual of [646, 613, 15]-code) [i]✔
11Linear OA(2539, 652, F25, 16) (dual of [652, 613, 17]-code) [i]✔
12Linear OA(2545, 655, F25, 18) (dual of [655, 610, 19]-code) [i]✔
13Linear OA(2545, 658, F25, 18) (dual of [658, 613, 19]-code) [i]✔
14Linear OA(2548, 658, F25, 19) (dual of [658, 610, 20]-code) [i]✔
15Linear OA(2551, 658, F25, 20) (dual of [658, 607, 21]-code) [i]✔
16Linear OA(2548, 661, F25, 19) (dual of [661, 613, 20]-code) [i]✔
17Linear OA(2551, 661, F25, 20) (dual of [661, 610, 21]-code) [i]✔
18Linear OA(2551, 664, F25, 20) (dual of [664, 613, 21]-code) [i]✔