Information on Result #693751

Linear OA(2581, 626, F25, 41) (dual of [626, 545, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 254−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (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(2586, 631, F25, 43) (dual of [631, 545, 44]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2582, 631, F25, 41) (dual of [631, 549, 42]-code) [i]✔
3Linear OA(2592, 637, F25, 45) (dual of [637, 545, 46]-code) [i]✔
4Linear OA(2584, 637, F25, 41) (dual of [637, 553, 42]-code) [i]✔
5Linear OA(2598, 643, F25, 47) (dual of [643, 545, 48]-code) [i]✔
6Linear OA(2586, 643, F25, 41) (dual of [643, 557, 42]-code) [i]✔
7Linear OA(25108, 652, F25, 53) (dual of [652, 544, 54]-code) [i]✔
8Linear OA(25109, 654, F25, 53) (dual of [654, 545, 54]-code) [i]✔
9Linear OA(25107, 652, F25, 52) (dual of [652, 545, 53]-code) [i]✔
10Linear OA(2588, 649, F25, 41) (dual of [649, 561, 42]-code) [i]✔
11Linear OA(2590, 652, F25, 41) (dual of [652, 562, 42]-code) [i]✔
12Linear OA(2591, 655, F25, 41) (dual of [655, 564, 42]-code) [i]✔
13Linear OA(2592, 657, F25, 41) (dual of [657, 565, 42]-code) [i]✔
14Linear OA(2589, 652, F25, 40) (dual of [652, 563, 41]-code) [i]✔
15Linear OA(2590, 655, F25, 40) (dual of [655, 565, 41]-code) [i]✔
16Linear OA(2595, 664, F25, 41) (dual of [664, 569, 42]-code) [i]✔
17Linear OA(2597, 670, F25, 41) (dual of [670, 573, 42]-code) [i]✔
18Linear OA(2599, 676, F25, 41) (dual of [676, 577, 42]-code) [i]✔
19Linear OA(25110, 656, F25, 52) (dual of [656, 546, 53]-code) [i]✔Construction XX with a Chain of Cyclic Codes
20Linear OA(25108, 654, F25, 51) (dual of [654, 546, 52]-code) [i]✔
21Linear OA(2593, 659, F25, 40) (dual of [659, 566, 41]-code) [i]✔