Information on Result #693749

Linear OA(2585, 626, F25, 43) (dual of [626, 541, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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(2590, 631, F25, 45) (dual of [631, 541, 46]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2586, 631, F25, 43) (dual of [631, 545, 44]-code) [i]✔
3Linear OA(2596, 637, F25, 47) (dual of [637, 541, 48]-code) [i]✔
4Linear OA(2588, 637, F25, 43) (dual of [637, 549, 44]-code) [i]✔
5Linear OA(25106, 647, F25, 53) (dual of [647, 541, 54]-code) [i]✔
6Linear OA(2590, 643, F25, 43) (dual of [643, 553, 44]-code) [i]✔
7Linear OA(2592, 649, F25, 43) (dual of [649, 557, 44]-code) [i]✔
8Linear OA(2594, 652, F25, 43) (dual of [652, 558, 44]-code) [i]✔
9Linear OA(2595, 655, F25, 43) (dual of [655, 560, 44]-code) [i]✔
10Linear OA(2596, 657, F25, 43) (dual of [657, 561, 44]-code) [i]✔
11Linear OA(2593, 652, F25, 42) (dual of [652, 559, 43]-code) [i]✔
12Linear OA(2594, 655, F25, 42) (dual of [655, 561, 43]-code) [i]✔
13Linear OA(2599, 664, F25, 43) (dual of [664, 565, 44]-code) [i]✔
14Linear OA(25101, 670, F25, 43) (dual of [670, 569, 44]-code) [i]✔
15Linear OA(25103, 676, F25, 43) (dual of [676, 573, 44]-code) [i]✔
16Linear OA(25106, 683, F25, 43) (dual of [683, 577, 44]-code) [i]✔
17Linear OA(25104, 678, F25, 42) (dual of [678, 574, 43]-code) [i]✔
18Linear OA(2597, 659, F25, 42) (dual of [659, 562, 43]-code) [i]✔Construction XX with a Chain of Cyclic Codes