Information on Result #622563

Linear OA(2512, 52, F25, 9) (dual of [52, 40, 10]-code), using extended algebraic-geometric code AGe(F,42P) based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using

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(2549, 678, F25, 19) (dual of [678, 629, 20]-code) [i](u, u+v)-Construction
2Linear OA(2567, 15678, F25, 19) (dual of [15678, 15611, 20]-code) [i]
3Linear OA(2585, 390678, F25, 19) (dual of [390678, 390593, 20]-code) [i]
4Linear OA(2547, 677, F25, 18) (dual of [677, 630, 19]-code) [i]
5Linear OA(2564, 15677, F25, 18) (dual of [15677, 15613, 19]-code) [i]
6Linear OA(2581, 390677, F25, 18) (dual of [390677, 390596, 19]-code) [i]
7Linear OA(2549, 680, F25, 19) (dual of [680, 631, 20]-code) [i]
8Linear OA(2567, 15680, F25, 19) (dual of [15680, 15613, 20]-code) [i]
9Linear OA(2585, 390681, F25, 19) (dual of [390681, 390596, 20]-code) [i]
10Linear OA(2547, 680, F25, 18) (dual of [680, 633, 19]-code) [i]
11Linear OA(2564, 15680, F25, 18) (dual of [15680, 15616, 19]-code) [i]
12Linear OA(2581, 390681, F25, 18) (dual of [390681, 390600, 19]-code) [i]
13Linear OA(25109, 390678, F25, 25) (dual of [390678, 390569, 26]-code) [i]Construction X with Cyclic Codes
14Linear OA(25101, 390678, F25, 23) (dual of [390678, 390577, 24]-code) [i]
15Linear OA(2593, 390678, F25, 21) (dual of [390678, 390585, 22]-code) [i]
16Linear OA(25109, 15668, F25, 33) (dual of [15668, 15559, 34]-code) [i]
17Linear OA(25103, 15668, F25, 31) (dual of [15668, 15565, 32]-code) [i]
18Linear OA(2597, 15668, F25, 29) (dual of [15668, 15571, 30]-code) [i]
19Linear OA(2591, 15668, F25, 27) (dual of [15668, 15577, 28]-code) [i]
20Linear OA(2585, 15668, F25, 25) (dual of [15668, 15583, 26]-code) [i]
21Linear OA(2579, 15668, F25, 23) (dual of [15668, 15589, 24]-code) [i]
22Linear OA(2573, 15668, F25, 21) (dual of [15668, 15595, 22]-code) [i]
23Linear OA(25109, 390673, F25, 26) (dual of [390673, 390564, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
24Linear OA(25105, 390677, F25, 24) (dual of [390677, 390572, 25]-code) [i]
25Linear OA(2597, 390677, F25, 22) (dual of [390677, 390580, 23]-code) [i]
26Linear OA(2589, 390677, F25, 20) (dual of [390677, 390588, 21]-code) [i]
27Linear OA(25109, 15664, F25, 34) (dual of [15664, 15555, 35]-code) [i]
28Linear OA(25106, 15664, F25, 33) (dual of [15664, 15558, 34]-code) [i]
29Linear OA(25103, 15664, F25, 32) (dual of [15664, 15561, 33]-code) [i]
30Linear OA(25100, 15664, F25, 31) (dual of [15664, 15564, 32]-code) [i]
31Linear OA(2597, 15664, F25, 30) (dual of [15664, 15567, 31]-code) [i]
32Linear OA(2594, 15664, F25, 29) (dual of [15664, 15570, 30]-code) [i]
33Linear OA(2591, 15664, F25, 28) (dual of [15664, 15573, 29]-code) [i]
34Linear OA(2588, 15664, F25, 27) (dual of [15664, 15576, 28]-code) [i]
35Linear OA(2585, 15664, F25, 26) (dual of [15664, 15579, 27]-code) [i]
36Linear OA(2582, 15667, F25, 24) (dual of [15667, 15585, 25]-code) [i]
37Linear OA(2576, 15667, F25, 22) (dual of [15667, 15591, 23]-code) [i]
38Linear OA(2570, 15667, F25, 20) (dual of [15667, 15597, 21]-code) [i]