Information on Result #693747

Linear OA(2589, 626, F25, 45) (dual of [626, 537, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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(2594, 631, F25, 47) (dual of [631, 537, 48]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2590, 631, F25, 45) (dual of [631, 541, 46]-code) [i]✔
3Linear OA(25104, 641, F25, 53) (dual of [641, 537, 54]-code) [i]✔
4Linear OA(2592, 637, F25, 45) (dual of [637, 545, 46]-code) [i]✔
5Linear OA(25110, 647, F25, 55) (dual of [647, 537, 56]-code) [i]✔
6Linear OA(2594, 643, F25, 45) (dual of [643, 549, 46]-code) [i]✔
7Linear OA(2596, 649, F25, 45) (dual of [649, 553, 46]-code) [i]✔
8Linear OA(2598, 652, F25, 45) (dual of [652, 554, 46]-code) [i]✔
9Linear OA(2599, 655, F25, 45) (dual of [655, 556, 46]-code) [i]✔
10Linear OA(25100, 657, F25, 45) (dual of [657, 557, 46]-code) [i]✔
11Linear OA(2597, 652, F25, 44) (dual of [652, 555, 45]-code) [i]✔
12Linear OA(2598, 655, F25, 44) (dual of [655, 557, 45]-code) [i]✔
13Linear OA(25103, 664, F25, 45) (dual of [664, 561, 46]-code) [i]✔
14Linear OA(25105, 670, F25, 45) (dual of [670, 565, 46]-code) [i]✔
15Linear OA(25107, 676, F25, 45) (dual of [676, 569, 46]-code) [i]✔
16Linear OA(25110, 683, F25, 45) (dual of [683, 573, 46]-code) [i]✔
17Linear OA(25108, 678, F25, 44) (dual of [678, 570, 45]-code) [i]✔
18Linear OA(25101, 659, F25, 44) (dual of [659, 558, 45]-code) [i]✔Construction XX with a Chain of Cyclic Codes