Information on Result #622565

Linear OA(2514, 52, F25, 11) (dual of [52, 38, 12]-code), using extended algebraic-geometric code AGe(F,40P) 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(2559, 678, F25, 23) (dual of [678, 619, 24]-code) [i](u, u+v)-Construction
2Linear OA(2581, 15678, F25, 23) (dual of [15678, 15597, 24]-code) [i]
3Linear OA(25103, 390678, F25, 23) (dual of [390678, 390575, 24]-code) [i]
4Linear OA(2557, 677, F25, 22) (dual of [677, 620, 23]-code) [i]
5Linear OA(2578, 15677, F25, 22) (dual of [15677, 15599, 23]-code) [i]
6Linear OA(2599, 390677, F25, 22) (dual of [390677, 390578, 23]-code) [i]
7Linear OA(2559, 680, F25, 23) (dual of [680, 621, 24]-code) [i]
8Linear OA(2581, 15680, F25, 23) (dual of [15680, 15599, 24]-code) [i]
9Linear OA(2557, 680, F25, 22) (dual of [680, 623, 23]-code) [i]
10Linear OA(2578, 15680, F25, 22) (dual of [15680, 15602, 23]-code) [i]
11Linear OA(2588, 15704, F25, 23) (dual of [15704, 15616, 24]-code) [i](u, u−v, u+v+w)-Construction
12Linear OA(25110, 390704, F25, 23) (dual of [390704, 390594, 24]-code) [i]
13Linear OA(25105, 15676, F25, 31) (dual of [15676, 15571, 32]-code) [i]Construction X with Cyclic Codes
14Linear OA(25107, 664, F25, 47) (dual of [664, 557, 48]-code) [i]
15Linear OA(25103, 664, F25, 45) (dual of [664, 561, 46]-code) [i]
16Linear OA(2599, 664, F25, 43) (dual of [664, 565, 44]-code) [i]
17Linear OA(2595, 664, F25, 41) (dual of [664, 569, 42]-code) [i]
18Linear OA(2591, 664, F25, 39) (dual of [664, 573, 40]-code) [i]
19Linear OA(2587, 664, F25, 37) (dual of [664, 577, 38]-code) [i]
20Linear OA(2583, 664, F25, 35) (dual of [664, 581, 36]-code) [i]
21Linear OA(2579, 664, F25, 33) (dual of [664, 585, 34]-code) [i]
22Linear OA(2575, 664, F25, 31) (dual of [664, 589, 32]-code) [i]
23Linear OA(25108, 15672, F25, 33) (dual of [15672, 15564, 34]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
24Linear OA(25105, 15672, F25, 32) (dual of [15672, 15567, 33]-code) [i]
25Linear OA(25102, 15672, F25, 31) (dual of [15672, 15570, 32]-code) [i]
26Linear OA(2599, 15672, F25, 30) (dual of [15672, 15573, 31]-code) [i]
27Linear OA(2596, 15672, F25, 29) (dual of [15672, 15576, 30]-code) [i]
28Linear OA(2593, 15672, F25, 28) (dual of [15672, 15579, 29]-code) [i]
29Linear OA(2590, 15672, F25, 27) (dual of [15672, 15582, 28]-code) [i]
30Linear OA(2587, 15672, F25, 26) (dual of [15672, 15585, 27]-code) [i]
31Linear OA(2584, 15675, F25, 24) (dual of [15675, 15591, 25]-code) [i]
32Linear OA(25110, 659, F25, 52) (dual of [659, 549, 53]-code) [i]
33Linear OA(25110, 661, F25, 51) (dual of [661, 551, 52]-code) [i]
34Linear OA(2582, 660, F25, 36) (dual of [660, 578, 37]-code) [i]
35Linear OA(2580, 660, F25, 35) (dual of [660, 580, 36]-code) [i]
36Linear OA(2578, 660, F25, 34) (dual of [660, 582, 35]-code) [i]
37Linear OA(2576, 660, F25, 33) (dual of [660, 584, 34]-code) [i]
38Linear OA(2574, 660, F25, 32) (dual of [660, 586, 33]-code) [i]
39Linear OA(2572, 660, F25, 31) (dual of [660, 588, 32]-code) [i]
40Linear OA(2570, 660, F25, 30) (dual of [660, 590, 31]-code) [i]
41Linear OA(2568, 660, F25, 29) (dual of [660, 592, 30]-code) [i]
42Linear OA(2566, 660, F25, 28) (dual of [660, 594, 29]-code) [i]
43Linear OA(2564, 660, F25, 27) (dual of [660, 596, 28]-code) [i]
44Linear OA(2563, 661, F25, 26) (dual of [661, 598, 27]-code) [i]
45Linear OA(25110, 663, F25, 50) (dual of [663, 553, 51]-code) [i]
46Linear OA(25108, 663, F25, 49) (dual of [663, 555, 50]-code) [i]
47Linear OA(25106, 663, F25, 48) (dual of [663, 557, 49]-code) [i]
48Linear OA(25104, 663, F25, 47) (dual of [663, 559, 48]-code) [i]
49Linear OA(25102, 663, F25, 46) (dual of [663, 561, 47]-code) [i]
50Linear OA(25100, 663, F25, 45) (dual of [663, 563, 46]-code) [i]
51Linear OA(2598, 663, F25, 44) (dual of [663, 565, 45]-code) [i]
52Linear OA(2596, 663, F25, 43) (dual of [663, 567, 44]-code) [i]
53Linear OA(2594, 663, F25, 42) (dual of [663, 569, 43]-code) [i]
54Linear OA(2592, 663, F25, 41) (dual of [663, 571, 42]-code) [i]
55Linear OA(2590, 663, F25, 40) (dual of [663, 573, 41]-code) [i]
56Linear OA(2588, 663, F25, 39) (dual of [663, 575, 40]-code) [i]
57Linear OA(2586, 662, F25, 38) (dual of [662, 576, 39]-code) [i]
58Linear OA(2561, 663, F25, 24) (dual of [663, 602, 25]-code) [i]