Information on Result #693753

Linear OA(2577, 626, F25, 39) (dual of [626, 549, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(2582, 631, F25, 41) (dual of [631, 549, 42]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2578, 631, F25, 39) (dual of [631, 553, 40]-code) [i]✔
3Linear OA(2588, 637, F25, 43) (dual of [637, 549, 44]-code) [i]✔
4Linear OA(2580, 637, F25, 39) (dual of [637, 557, 40]-code) [i]✔
5Linear OA(2594, 643, F25, 45) (dual of [643, 549, 46]-code) [i]✔
6Linear OA(2582, 643, F25, 39) (dual of [643, 561, 40]-code) [i]✔
7Linear OA(25100, 649, F25, 47) (dual of [649, 549, 48]-code) [i]✔
8Linear OA(2584, 649, F25, 39) (dual of [649, 565, 40]-code) [i]✔
9Linear OA(25109, 655, F25, 51) (dual of [655, 546, 52]-code) [i]✔
10Linear OA(25110, 657, F25, 51) (dual of [657, 547, 52]-code) [i]✔
11Linear OA(25108, 655, F25, 50) (dual of [655, 547, 51]-code) [i]✔
12Linear OA(25109, 657, F25, 50) (dual of [657, 548, 51]-code) [i]✔
13Linear OA(25110, 659, F25, 50) (dual of [659, 549, 51]-code) [i]✔
14Linear OA(25106, 652, F25, 49) (dual of [652, 546, 50]-code) [i]✔
15Linear OA(25107, 655, F25, 49) (dual of [655, 548, 50]-code) [i]✔
16Linear OA(25108, 657, F25, 49) (dual of [657, 549, 50]-code) [i]✔
17Linear OA(25105, 652, F25, 48) (dual of [652, 547, 49]-code) [i]✔
18Linear OA(25106, 655, F25, 48) (dual of [655, 549, 49]-code) [i]✔
19Linear OA(2586, 652, F25, 39) (dual of [652, 566, 40]-code) [i]✔
20Linear OA(2587, 655, F25, 39) (dual of [655, 568, 40]-code) [i]✔
21Linear OA(2588, 657, F25, 39) (dual of [657, 569, 40]-code) [i]✔
22Linear OA(2585, 652, F25, 38) (dual of [652, 567, 39]-code) [i]✔
23Linear OA(2586, 655, F25, 38) (dual of [655, 569, 39]-code) [i]✔
24Linear OA(2591, 664, F25, 39) (dual of [664, 573, 40]-code) [i]✔
25Linear OA(2593, 670, F25, 39) (dual of [670, 577, 40]-code) [i]✔
26Linear OA(2595, 676, F25, 39) (dual of [676, 581, 40]-code) [i]✔
27Linear OA(25110, 656, F25, 52) (dual of [656, 546, 53]-code) [i]✔Construction XX with a Chain of Cyclic Codes
28Linear OA(25108, 654, F25, 51) (dual of [654, 546, 52]-code) [i]✔
29Linear OA(25109, 659, F25, 48) (dual of [659, 550, 49]-code) [i]✔
30Linear OA(2589, 659, F25, 38) (dual of [659, 570, 39]-code) [i]✔