Information on Result #694003

Linear OA(2533, 625, F25, 17) (dual of [625, 592, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(2535, 627, F25, 18) (dual of [627, 592, 19]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(2533, 627, F25, 17) (dual of [627, 594, 18]-code) [i]
3Linear OA(2541, 633, F25, 20) (dual of [633, 592, 21]-code) [i]
4Linear OA(2535, 633, F25, 17) (dual of [633, 598, 18]-code) [i]
5Linear OA(2547, 639, F25, 22) (dual of [639, 592, 23]-code) [i]
6Linear OA(2537, 639, F25, 17) (dual of [639, 602, 18]-code) [i]
7Linear OA(2553, 645, F25, 24) (dual of [645, 592, 25]-code) [i]
8Linear OA(2539, 645, F25, 17) (dual of [645, 606, 18]-code) [i]
9Linear OA(2557, 649, F25, 26) (dual of [649, 592, 27]-code) [i]
10Linear OA(2559, 651, F25, 27) (dual of [651, 592, 28]-code) [i]
11Linear OA(2563, 654, F25, 28) (dual of [654, 591, 29]-code) [i]
12Linear OA(2564, 656, F25, 28) (dual of [656, 592, 29]-code) [i]
13Linear OA(2568, 660, F25, 29) (dual of [660, 592, 30]-code) [i]
14Linear OA(2571, 663, F25, 30) (dual of [663, 592, 31]-code) [i]
15Linear OA(2574, 666, F25, 31) (dual of [666, 592, 32]-code) [i]
16Linear OA(2577, 669, F25, 32) (dual of [669, 592, 33]-code) [i]
17Linear OA(2580, 672, F25, 33) (dual of [672, 592, 34]-code) [i]
18Linear OA(2583, 675, F25, 34) (dual of [675, 592, 35]-code) [i]