Information on Result #723287

Linear OA(2543, 624, F25, 22) (dual of [624, 581, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2556, 663, F25, 22) (dual of [663, 607, 23]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2555, 660, F25, 22) (dual of [660, 605, 23]-code) [i]✔
3Linear OA(2554, 657, F25, 22) (dual of [657, 603, 23]-code) [i]✔
4Linear OA(2556, 666, F25, 22) (dual of [666, 610, 23]-code) [i]✔
5Linear OA(2555, 663, F25, 22) (dual of [663, 608, 23]-code) [i]✔
6Linear OA(2554, 660, F25, 22) (dual of [660, 606, 23]-code) [i]✔
7Linear OA(2553, 657, F25, 22) (dual of [657, 604, 23]-code) [i]✔
8Linear OA(2552, 654, F25, 22) (dual of [654, 602, 23]-code) [i]✔
9Linear OA(2578, 676, F25, 32) (dual of [676, 598, 33]-code) [i]✔
10Linear OA(2545, 628, F25, 23) (dual of [628, 583, 24]-code) [i]✔
11Linear OA(2577, 673, F25, 32) (dual of [673, 596, 33]-code) [i]✔
12Linear OA(2548, 631, F25, 24) (dual of [631, 583, 25]-code) [i]✔
13Linear OA(2576, 670, F25, 32) (dual of [670, 594, 33]-code) [i]✔
14Linear OA(2580, 673, F25, 33) (dual of [673, 593, 34]-code) [i]✔
15Linear OA(2551, 634, F25, 25) (dual of [634, 583, 26]-code) [i]✔
16Linear OA(2547, 628, F25, 24) (dual of [628, 581, 25]-code) [i]✔