Information on Result #657178

Linear OA(256, 26, F25, 6) (dual of [26, 20, 7]-code or 26-arc in PG(5,25)), using algebraic-geometric code AG(F, Q+8P) with degQ = 3 and degP = 2 based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]

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(2531, 652, F25, 13) (dual of [652, 621, 14]-code) [i](u, u+v)-Construction
2Linear OA(2543, 15652, F25, 13) (dual of [15652, 15609, 14]-code) [i]
3Linear OA(2555, 390652, F25, 13) (dual of [390652, 390597, 14]-code) [i]
4Linear OA(2529, 651, F25, 12) (dual of [651, 622, 13]-code) [i]
5Linear OA(2540, 15651, F25, 12) (dual of [15651, 15611, 13]-code) [i]
6Linear OA(2551, 390651, F25, 12) (dual of [390651, 390600, 13]-code) [i]
7Linear OA(2531, 654, F25, 13) (dual of [654, 623, 14]-code) [i]
8Linear OA(2543, 15654, F25, 13) (dual of [15654, 15611, 14]-code) [i]
9Linear OA(2544, 15659, F25, 13) (dual of [15659, 15615, 14]-code) [i]
10Linear OA(2556, 390661, F25, 13) (dual of [390661, 390605, 14]-code) [i]
11Linear OA(2557, 390665, F25, 13) (dual of [390665, 390608, 14]-code) [i]
12Linear OA(2529, 654, F25, 12) (dual of [654, 625, 13]-code) [i]
13Linear OA(2540, 15654, F25, 12) (dual of [15654, 15614, 13]-code) [i]
14Linear OA(2541, 15658, F25, 12) (dual of [15658, 15617, 13]-code) [i]
15Linear OA(2542, 15662, F25, 12) (dual of [15662, 15620, 13]-code) [i]
16Linear OA(2551, 390655, F25, 12) (dual of [390655, 390604, 13]-code) [i]
17Linear OA(2552, 390660, F25, 12) (dual of [390660, 390608, 13]-code) [i]
18Linear OA(2553, 390665, F25, 12) (dual of [390665, 390612, 13]-code) [i]
19Linear OA(2514, 650, F25, 6) (dual of [650, 636, 7]-code) [i]Generalized (u, u+v)-Construction
20Linear OA(259, 29, F25, 8) (dual of [29, 20, 9]-code) [i]✔Construction X with Algebraic-Geometric Codes
21Linear OA(257, 29, F25, 6) (dual of [29, 22, 7]-code) [i]✔
22Linear OA(2511, 31, F25, 9) (dual of [31, 20, 10]-code) [i]✔
23Linear OA(258, 31, F25, 6) (dual of [31, 23, 7]-code) [i]✔
24Linear OA(2555, 677, F25, 20) (dual of [677, 622, 21]-code) [i](u, u−v, u+v+w)-Construction
25Linear OA(2556, 680, F25, 20) (dual of [680, 624, 21]-code) [i]
26Linear OA(2574, 15677, F25, 20) (dual of [15677, 15603, 21]-code) [i]
27Linear OA(2575, 15680, F25, 20) (dual of [15680, 15605, 21]-code) [i]
28Linear OA(2593, 390677, F25, 20) (dual of [390677, 390584, 21]-code) [i]
29Linear OA(2594, 390680, F25, 20) (dual of [390680, 390586, 21]-code) [i]
30Linear OA(2552, 678, F25, 19) (dual of [678, 626, 20]-code) [i]
31Linear OA(2553, 681, F25, 19) (dual of [681, 628, 20]-code) [i]
32Linear OA(2570, 15678, F25, 19) (dual of [15678, 15608, 20]-code) [i]
33Linear OA(2571, 15681, F25, 19) (dual of [15681, 15610, 20]-code) [i]
34Linear OA(2588, 390678, F25, 19) (dual of [390678, 390590, 20]-code) [i]
35Linear OA(2589, 390681, F25, 19) (dual of [390681, 390592, 20]-code) [i]
36Linear OA(2550, 677, F25, 18) (dual of [677, 627, 19]-code) [i]
37Linear OA(2567, 15677, F25, 18) (dual of [15677, 15610, 19]-code) [i]
38Linear OA(2568, 15680, F25, 18) (dual of [15680, 15612, 19]-code) [i]
39Linear OA(2584, 390677, F25, 18) (dual of [390677, 390593, 19]-code) [i]
40Linear OA(2585, 390680, F25, 18) (dual of [390680, 390595, 19]-code) [i]
41Linear OA(2535, 678, F25, 13) (dual of [678, 643, 14]-code) [i]
42Linear OA(2547, 15678, F25, 13) (dual of [15678, 15631, 14]-code) [i]
43Linear OA(2559, 390678, F25, 13) (dual of [390678, 390619, 14]-code) [i]
44Linear OA(2544, 15677, F25, 12) (dual of [15677, 15633, 13]-code) [i]
45Linear OA(2555, 390677, F25, 12) (dual of [390677, 390622, 13]-code) [i]
46Linear OA(25109, 15652, F25, 34) (dual of [15652, 15543, 35]-code) [i]Construction X with Cyclic Codes
47Linear OA(25103, 15652, F25, 32) (dual of [15652, 15549, 33]-code) [i]
48Linear OA(2597, 15652, F25, 30) (dual of [15652, 15555, 31]-code) [i]
49Linear OA(2591, 15652, F25, 28) (dual of [15652, 15561, 29]-code) [i]
50Linear OA(2585, 15652, F25, 26) (dual of [15652, 15567, 27]-code) [i]
51Linear OA(2579, 15652, F25, 24) (dual of [15652, 15573, 25]-code) [i]
52Linear OA(2573, 15652, F25, 22) (dual of [15652, 15579, 23]-code) [i]
53Linear OA(2567, 15652, F25, 20) (dual of [15652, 15585, 21]-code) [i]
54Linear OA(2561, 15652, F25, 18) (dual of [15652, 15591, 19]-code) [i]
55Linear OA(25109, 15651, F25, 36) (dual of [15651, 15542, 37]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
56Linear OA(25106, 15651, F25, 35) (dual of [15651, 15545, 36]-code) [i]
57Linear OA(25103, 15651, F25, 34) (dual of [15651, 15548, 35]-code) [i]
58Linear OA(25100, 15651, F25, 33) (dual of [15651, 15551, 34]-code) [i]
59Linear OA(2579, 15651, F25, 25) (dual of [15651, 15572, 26]-code) [i]
60Linear OA(2576, 15651, F25, 24) (dual of [15651, 15575, 25]-code) [i]
61Linear OA(2573, 15651, F25, 23) (dual of [15651, 15578, 24]-code) [i]
62Linear OA(2570, 15651, F25, 22) (dual of [15651, 15581, 23]-code) [i]
63Linear OA(2567, 15651, F25, 21) (dual of [15651, 15584, 22]-code) [i]
64Linear OA(2564, 15651, F25, 20) (dual of [15651, 15587, 21]-code) [i]
65Linear OA(2561, 15651, F25, 19) (dual of [15651, 15590, 20]-code) [i]
66Linear OA(2558, 15651, F25, 18) (dual of [15651, 15593, 19]-code) [i]
67Linear OA(2555, 15651, F25, 17) (dual of [15651, 15596, 18]-code) [i]
68Linear OA(2552, 15651, F25, 16) (dual of [15651, 15599, 17]-code) [i]
69Linear OA(2549, 15651, F25, 15) (dual of [15651, 15602, 16]-code) [i]
70Linear OA(2546, 15651, F25, 14) (dual of [15651, 15605, 15]-code) [i]