Information on Result #616783

Linear OA(2525, 626, F25, 13) (dual of [626, 601, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, 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(2531, 652, F25, 13) (dual of [652, 621, 14]-code) [i](u, u+v)-Construction
2Linear OA(2532, 655, F25, 13) (dual of [655, 623, 14]-code) [i]
3Linear OA(2533, 657, F25, 13) (dual of [657, 624, 14]-code) [i]
4Linear OA(2534, 678, F25, 13) (dual of [678, 644, 14]-code) [i]
5Linear OA(2535, 703, F25, 13) (dual of [703, 668, 14]-code) [i]
6Linear OA(2535, 678, F25, 13) (dual of [678, 643, 14]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(2530, 632, F25, 13) (dual of [632, 602, 14]-code) [i]✔Construction X with Cyclic Codes
8Linear OA(2530, 631, F25, 15) (dual of [631, 601, 16]-code) [i]✔
9Linear OA(2526, 631, F25, 13) (dual of [631, 605, 14]-code) [i]✔
10Linear OA(2536, 637, F25, 17) (dual of [637, 601, 18]-code) [i]✔
11Linear OA(2528, 637, F25, 13) (dual of [637, 609, 14]-code) [i]✔
12Linear OA(2542, 643, F25, 19) (dual of [643, 601, 20]-code) [i]✔
13Linear OA(2530, 643, F25, 13) (dual of [643, 613, 14]-code) [i]✔
14Linear OA(2548, 649, F25, 21) (dual of [649, 601, 22]-code) [i]✔
15Linear OA(2554, 652, F25, 23) (dual of [652, 598, 24]-code) [i]✔
16Linear OA(2555, 655, F25, 23) (dual of [655, 600, 24]-code) [i]✔
17Linear OA(2556, 657, F25, 23) (dual of [657, 601, 24]-code) [i]✔
18Linear OA(2553, 652, F25, 22) (dual of [652, 599, 23]-code) [i]✔
19Linear OA(2554, 655, F25, 22) (dual of [655, 601, 23]-code) [i]✔
20Linear OA(2561, 659, F25, 24) (dual of [659, 598, 25]-code) [i]✔Construction XX with a Chain of Cyclic Codes