Information on Result #606856

Linear OA(275, 28, F27, 5) (dual of [28, 23, 6]-code or 28-arc in PG(4,27)), using extended Reed–Solomon code RSe(23,27)

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(2726, 758, F27, 11) (dual of [758, 732, 12]-code) [i](u, u+v)-Construction
2Linear OA(2736, 19712, F27, 11) (dual of [19712, 19676, 12]-code) [i]
3Linear OA(2746, 531470, F27, 11) (dual of [531470, 531424, 12]-code) [i]
4Linear OA(2724, 757, F27, 10) (dual of [757, 733, 11]-code) [i]
5Linear OA(2733, 19711, F27, 10) (dual of [19711, 19678, 11]-code) [i]
6Linear OA(2742, 531469, F27, 10) (dual of [531469, 531427, 11]-code) [i]
7Linear OA(2726, 760, F27, 11) (dual of [760, 734, 12]-code) [i]
8Linear OA(2736, 19714, F27, 11) (dual of [19714, 19678, 12]-code) [i]
9Linear OA(2746, 531473, F27, 11) (dual of [531473, 531427, 12]-code) [i]
10Linear OA(2724, 760, F27, 10) (dual of [760, 736, 11]-code) [i]
11Linear OA(2733, 19714, F27, 10) (dual of [19714, 19681, 11]-code) [i]
12Linear OA(2742, 531473, F27, 10) (dual of [531473, 531431, 11]-code) [i]
13Linear OA(2729, 756, F27, 11) (dual of [756, 727, 12]-code) [i]Generalized (u, u+v)-Construction
14Linear OA(2710, 756, F27, 5) (dual of [756, 746, 6]-code) [i]
15Linear OA(2746, 786, F27, 17) (dual of [786, 740, 18]-code) [i](u, u−v, u+v+w)-Construction
16Linear OA(2747, 796, F27, 17) (dual of [796, 749, 18]-code) [i]
17Linear OA(2762, 19740, F27, 17) (dual of [19740, 19678, 18]-code) [i]
18Linear OA(2763, 19750, F27, 17) (dual of [19750, 19687, 18]-code) [i]
19Linear OA(2778, 531498, F27, 17) (dual of [531498, 531420, 18]-code) [i]
20Linear OA(2779, 531508, F27, 17) (dual of [531508, 531429, 18]-code) [i]
21Linear OA(2744, 785, F27, 16) (dual of [785, 741, 17]-code) [i]
22Linear OA(2759, 19739, F27, 16) (dual of [19739, 19680, 17]-code) [i]
23Linear OA(2760, 19749, F27, 16) (dual of [19749, 19689, 17]-code) [i]
24Linear OA(2774, 531497, F27, 16) (dual of [531497, 531423, 17]-code) [i]
25Linear OA(2775, 531507, F27, 16) (dual of [531507, 531432, 17]-code) [i]
26Linear OA(2741, 786, F27, 15) (dual of [786, 745, 16]-code) [i]
27Linear OA(2755, 19740, F27, 15) (dual of [19740, 19685, 16]-code) [i]
28Linear OA(2756, 19750, F27, 15) (dual of [19750, 19694, 16]-code) [i]
29Linear OA(2769, 531498, F27, 15) (dual of [531498, 531429, 16]-code) [i]
30Linear OA(2770, 531508, F27, 15) (dual of [531508, 531438, 16]-code) [i]
31Linear OA(2729, 786, F27, 11) (dual of [786, 757, 12]-code) [i]
32Linear OA(2739, 19740, F27, 11) (dual of [19740, 19701, 12]-code) [i]
33Linear OA(2749, 531498, F27, 11) (dual of [531498, 531449, 12]-code) [i]
34Linear OA(2736, 19739, F27, 10) (dual of [19739, 19703, 11]-code) [i]
35Linear OA(2745, 531497, F27, 10) (dual of [531497, 531452, 11]-code) [i]
36Linear OA(27110, 531470, F27, 27) (dual of [531470, 531360, 28]-code) [i]Construction X with Cyclic Codes
37Linear OA(27102, 531470, F27, 25) (dual of [531470, 531368, 26]-code) [i]
38Linear OA(2794, 531470, F27, 23) (dual of [531470, 531376, 24]-code) [i]
39Linear OA(2786, 531470, F27, 21) (dual of [531470, 531384, 22]-code) [i]
40Linear OA(2778, 531470, F27, 19) (dual of [531470, 531392, 20]-code) [i]
41Linear OA(2770, 531470, F27, 17) (dual of [531470, 531400, 18]-code) [i]
42Linear OA(2762, 531470, F27, 15) (dual of [531470, 531408, 16]-code) [i]
43Linear OA(2754, 531470, F27, 13) (dual of [531470, 531416, 14]-code) [i]
44Linear OA(27106, 531469, F27, 26) (dual of [531469, 531363, 27]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
45Linear OA(2798, 531469, F27, 24) (dual of [531469, 531371, 25]-code) [i]
46Linear OA(2790, 531469, F27, 22) (dual of [531469, 531379, 23]-code) [i]
47Linear OA(2782, 531469, F27, 20) (dual of [531469, 531387, 21]-code) [i]
48Linear OA(2774, 531469, F27, 18) (dual of [531469, 531395, 19]-code) [i]
49Linear OA(2766, 531469, F27, 16) (dual of [531469, 531403, 17]-code) [i]
50Linear OA(2758, 531469, F27, 14) (dual of [531469, 531411, 15]-code) [i]
51Linear OA(2750, 531469, F27, 12) (dual of [531469, 531419, 13]-code) [i]