Information on Result #723466

Linear OA(2549, 624, F25, 26) (dual of [624, 575, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27

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(2564, 665, F25, 26) (dual of [665, 601, 27]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2563, 662, F25, 26) (dual of [662, 599, 27]-code) [i]
3Linear OA(2562, 659, F25, 26) (dual of [659, 597, 27]-code) [i]
4Linear OA(2564, 668, F25, 26) (dual of [668, 604, 27]-code) [i]
5Linear OA(2563, 665, F25, 26) (dual of [665, 602, 27]-code) [i]
6Linear OA(2562, 662, F25, 26) (dual of [662, 600, 27]-code) [i]
7Linear OA(2561, 659, F25, 26) (dual of [659, 598, 27]-code) [i]
8Linear OA(2560, 656, F25, 26) (dual of [656, 596, 27]-code) [i]
9Linear OA(2580, 655, F25, 37) (dual of [655, 575, 38]-code) [i]
10Linear OA(2583, 658, F25, 38) (dual of [658, 575, 39]-code) [i]
11Linear OA(2586, 658, F25, 39) (dual of [658, 572, 40]-code) [i]
12Linear OA(2586, 661, F25, 39) (dual of [661, 575, 40]-code) [i]
13Linear OA(2589, 661, F25, 40) (dual of [661, 572, 41]-code) [i]
14Linear OA(2589, 664, F25, 40) (dual of [664, 575, 41]-code) [i]
15Linear OA(2592, 664, F25, 41) (dual of [664, 572, 42]-code) [i]
16Linear OA(2592, 667, F25, 41) (dual of [667, 575, 42]-code) [i]
17Linear OA(2595, 667, F25, 42) (dual of [667, 572, 43]-code) [i]
18Linear OA(2595, 670, F25, 42) (dual of [670, 575, 43]-code) [i]
19Linear OA(2598, 670, F25, 43) (dual of [670, 572, 44]-code) [i]
20Linear OA(2598, 673, F25, 43) (dual of [673, 575, 44]-code) [i]
21Linear OA(25101, 673, F25, 44) (dual of [673, 572, 45]-code) [i]
22Linear OA(25101, 676, F25, 44) (dual of [676, 575, 45]-code) [i]
23Linear OA(25104, 676, F25, 45) (dual of [676, 572, 46]-code) [i]
24Linear OA(25104, 679, F25, 45) (dual of [679, 575, 46]-code) [i]
25Linear OA(25108, 681, F25, 46) (dual of [681, 573, 47]-code) [i]
26Linear OA(25107, 679, F25, 46) (dual of [679, 572, 47]-code) [i]
27Linear OOA(2549, 312, F25, 2, 26) (dual of [(312, 2), 575, 27]-NRT-code) [i]OOA Folding