Information on Result #657172

Linear OA(2512, 26, F25, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,25)), using algebraic-geometric code AG(F, Q+5P) 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(524, 52, F5, 12) (dual of [52, 28, 13]-code) [i]Trace Code
2Linear OA(2560, 650, F25, 25) (dual of [650, 590, 26]-code) [i](u, u+v)-Construction
3Linear OA(2584, 15650, F25, 25) (dual of [15650, 15566, 26]-code) [i]
4Linear OA(25108, 390650, F25, 25) (dual of [390650, 390542, 26]-code) [i]
5Linear OA(2559, 651, F25, 24) (dual of [651, 592, 25]-code) [i]
6Linear OA(2582, 15651, F25, 24) (dual of [15651, 15569, 25]-code) [i]
7Linear OA(25105, 390651, F25, 24) (dual of [390651, 390546, 25]-code) [i]
8Linear OA(550, 78, F5, 25) (dual of [78, 28, 26]-code) [i]Concatenation of Two Codes
9Linear OA(2515, 29, F25, 14) (dual of [29, 14, 15]-code) [i]✔Construction X with Algebraic-Geometric Codes
10Linear OA(2513, 29, F25, 12) (dual of [29, 16, 13]-code) [i]✔
11Linear OA(2517, 31, F25, 15) (dual of [31, 14, 16]-code) [i]✔
12Linear OA(2514, 31, F25, 12) (dual of [31, 17, 13]-code) [i]✔
13Linear OA(25110, 226, F25, 72) (dual of [226, 116, 73]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes
14Linear OA(25109, 226, F25, 71) (dual of [226, 117, 72]-code) [i]
15Linear OA(25108, 226, F25, 70) (dual of [226, 118, 71]-code) [i]
16Linear OA(25107, 226, F25, 69) (dual of [226, 119, 70]-code) [i]
17Linear OA(25106, 226, F25, 68) (dual of [226, 120, 69]-code) [i]
18Linear OA(25105, 226, F25, 67) (dual of [226, 121, 68]-code) [i]
19Linear OA(25104, 226, F25, 66) (dual of [226, 122, 67]-code) [i]
20Linear OA(25103, 226, F25, 65) (dual of [226, 123, 66]-code) [i]
21Linear OA(25102, 226, F25, 64) (dual of [226, 124, 65]-code) [i]
22Linear OA(25101, 226, F25, 63) (dual of [226, 125, 64]-code) [i]
23Linear OA(25100, 226, F25, 62) (dual of [226, 126, 63]-code) [i]
24Linear OA(2599, 226, F25, 61) (dual of [226, 127, 62]-code) [i]
25Linear OA(2598, 226, F25, 60) (dual of [226, 128, 61]-code) [i]
26Linear OA(2597, 226, F25, 59) (dual of [226, 129, 60]-code) [i]
27Linear OA(2596, 226, F25, 58) (dual of [226, 130, 59]-code) [i]
28Linear OA(2595, 226, F25, 57) (dual of [226, 131, 58]-code) [i]
29Linear OA(2594, 226, F25, 56) (dual of [226, 132, 57]-code) [i]
30Linear OA(2593, 226, F25, 55) (dual of [226, 133, 56]-code) [i]
31Linear OA(2592, 226, F25, 54) (dual of [226, 134, 55]-code) [i]
32Linear OA(2591, 226, F25, 53) (dual of [226, 135, 54]-code) [i]
33Linear OA(2590, 226, F25, 52) (dual of [226, 136, 53]-code) [i]
34Linear OA(2589, 226, F25, 51) (dual of [226, 137, 52]-code) [i]
35Linear OA(2588, 226, F25, 50) (dual of [226, 138, 51]-code) [i]
36Linear OA(2587, 226, F25, 49) (dual of [226, 139, 50]-code) [i]
37Linear OA(2586, 226, F25, 48) (dual of [226, 140, 49]-code) [i]
38Linear OA(2585, 226, F25, 47) (dual of [226, 141, 48]-code) [i]
39Linear OA(2568, 676, F25, 25) (dual of [676, 608, 26]-code) [i](u, u−v, u+v+w)-Construction
40Linear OA(2592, 15676, F25, 25) (dual of [15676, 15584, 26]-code) [i]
41Linear OA(2567, 677, F25, 24) (dual of [677, 610, 25]-code) [i]
42Linear OA(2590, 15677, F25, 24) (dual of [15677, 15587, 25]-code) [i]