Information on Result #657180

Linear OA(254, 26, F25, 4) (dual of [26, 22, 5]-code or 26-arc in PG(3,25)), using algebraic-geometric code AG(F, Q+9P) 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(58, 52, F5, 4) (dual of [52, 44, 5]-code) [i]Trace Code
2Linear OA(57, 26, F5, 4) (dual of [26, 19, 5]-code) [i]Base Reduction for Projective Spaces
3Linear OA(2521, 652, F25, 9) (dual of [652, 631, 10]-code) [i](u, u+v)-Construction
4Linear OA(2529, 15652, F25, 9) (dual of [15652, 15623, 10]-code) [i]
5Linear OA(2537, 390652, F25, 9) (dual of [390652, 390615, 10]-code) [i]
6Linear OA(2519, 651, F25, 8) (dual of [651, 632, 9]-code) [i]
7Linear OA(2526, 15651, F25, 8) (dual of [15651, 15625, 9]-code) [i]
8Linear OA(2533, 390651, F25, 8) (dual of [390651, 390618, 9]-code) [i]
9Linear OA(2521, 654, F25, 9) (dual of [654, 633, 10]-code) [i]
10Linear OA(2529, 15654, F25, 9) (dual of [15654, 15625, 10]-code) [i]
11Linear OA(2530, 15659, F25, 9) (dual of [15659, 15629, 10]-code) [i]
12Linear OA(2537, 390655, F25, 9) (dual of [390655, 390618, 10]-code) [i]
13Linear OA(2538, 390662, F25, 9) (dual of [390662, 390624, 10]-code) [i]
14Linear OA(2519, 654, F25, 8) (dual of [654, 635, 9]-code) [i]
15Linear OA(2526, 15654, F25, 8) (dual of [15654, 15628, 9]-code) [i]
16Linear OA(2527, 15658, F25, 8) (dual of [15658, 15631, 9]-code) [i]
17Linear OA(2533, 390655, F25, 8) (dual of [390655, 390622, 9]-code) [i]
18Linear OA(2534, 390661, F25, 8) (dual of [390661, 390627, 9]-code) [i]
19Linear OA(2523, 650, F25, 9) (dual of [650, 627, 10]-code) [i]Generalized (u, u+v)-Construction
20Linear OA(2520, 650, F25, 8) (dual of [650, 630, 9]-code) [i]
21Linear OA(258, 650, F25, 4) (dual of [650, 642, 5]-code) [i]
22Linear OA(257, 29, F25, 6) (dual of [29, 22, 7]-code) [i]✔Construction X with Algebraic-Geometric Codes
23Linear OA(255, 29, F25, 4) (dual of [29, 24, 5]-code) [i]✔
24Linear OA(259, 31, F25, 7) (dual of [31, 22, 8]-code) [i]✔
25Linear OA(2538, 677, F25, 14) (dual of [677, 639, 15]-code) [i](u, u−v, u+v+w)-Construction
26Linear OA(2551, 15677, F25, 14) (dual of [15677, 15626, 15]-code) [i]
27Linear OA(2552, 15680, F25, 14) (dual of [15680, 15628, 15]-code) [i]
28Linear OA(2564, 390677, F25, 14) (dual of [390677, 390613, 15]-code) [i]
29Linear OA(2565, 390680, F25, 14) (dual of [390680, 390615, 15]-code) [i]
30Linear OA(2535, 678, F25, 13) (dual of [678, 643, 14]-code) [i]
31Linear OA(2547, 15678, F25, 13) (dual of [15678, 15631, 14]-code) [i]
32Linear OA(2548, 15681, F25, 13) (dual of [15681, 15633, 14]-code) [i]
33Linear OA(2559, 390678, F25, 13) (dual of [390678, 390619, 14]-code) [i]
34Linear OA(2560, 390681, F25, 13) (dual of [390681, 390621, 14]-code) [i]
35Linear OA(2544, 15677, F25, 12) (dual of [15677, 15633, 13]-code) [i]
36Linear OA(2555, 390677, F25, 12) (dual of [390677, 390622, 13]-code) [i]
37Linear OA(2532, 15678, F25, 9) (dual of [15678, 15646, 10]-code) [i]
38Linear OA(2540, 390678, F25, 9) (dual of [390678, 390638, 10]-code) [i]
39Linear OA(2528, 15677, F25, 8) (dual of [15677, 15649, 9]-code) [i]
40Linear OA(2535, 390677, F25, 8) (dual of [390677, 390642, 9]-code) [i]
41Linear OA(25109, 390652, F25, 26) (dual of [390652, 390543, 27]-code) [i]Construction X with Cyclic Codes
42Linear OA(25101, 390652, F25, 24) (dual of [390652, 390551, 25]-code) [i]
43Linear OA(2593, 390652, F25, 22) (dual of [390652, 390559, 23]-code) [i]
44Linear OA(2585, 390652, F25, 20) (dual of [390652, 390567, 21]-code) [i]
45Linear OA(2577, 390652, F25, 18) (dual of [390652, 390575, 19]-code) [i]
46Linear OA(2569, 390652, F25, 16) (dual of [390652, 390583, 17]-code) [i]