Information on Result #606415

Linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using Reed–Solomon code RS(9,27)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2794, 98, F27, 86) (dual of [98, 4, 87]-code) [i]Juxtaposition
2Linear OA(2756, 59, F27, 53) (dual of [59, 3, 54]-code) [i]
3Linear OA(381, 108, F3, 37) (dual of [108, 27, 38]-code) [i]Concatenation of Two Codes
4Linear OA(380, 104, F3, 37) (dual of [104, 24, 38]-code) [i]
5Linear OA(379, 100, F3, 37) (dual of [100, 21, 38]-code) [i]
6Linear OA(3162, 189, F3, 75) (dual of [189, 27, 76]-code) [i]
7Linear OA(3158, 182, F3, 75) (dual of [182, 24, 76]-code) [i]
8Linear OA(3154, 175, F3, 75) (dual of [175, 21, 76]-code) [i]
9Linear OA(3179, 200, F3, 94) (dual of [200, 21, 95]-code) [i]
10Linear OA(3174, 192, F3, 94) (dual of [192, 18, 95]-code) [i]
11Linear OA(3169, 184, F3, 94) (dual of [184, 15, 95]-code) [i]
12Linear OA(3164, 176, F3, 94) (dual of [176, 12, 95]-code) [i]
13Linear OA(3198, 216, F3, 113) (dual of [216, 18, 114]-code) [i]
14Linear OA(3192, 207, F3, 113) (dual of [207, 15, 114]-code) [i]
15Linear OA(3186, 198, F3, 113) (dual of [198, 12, 114]-code) [i]
16Linear OA(3180, 189, F3, 113) (dual of [189, 9, 114]-code) [i]
17Linear OOA(3135, 81, F3, 2, 75) (dual of [(81, 2), 27, 76]-NRT-code) [i]Concatenation of Two NRT-Codes
18Linear OOA(3132, 78, F3, 2, 75) (dual of [(78, 2), 24, 76]-NRT-code) [i]
19Linear OOA(3129, 75, F3, 2, 75) (dual of [(75, 2), 21, 76]-NRT-code) [i]
20Linear OOA(3126, 72, F3, 2, 75) (dual of [(72, 2), 18, 76]-NRT-code) [i]
21Linear OOA(3123, 69, F3, 2, 75) (dual of [(69, 2), 15, 76]-NRT-code) [i]
22Linear OOA(3120, 66, F3, 2, 75) (dual of [(66, 2), 12, 76]-NRT-code) [i]
23Linear OOA(3189, 108, F3, 2, 113) (dual of [(108, 2), 27, 114]-NRT-code) [i]
24Linear OOA(3184, 104, F3, 2, 113) (dual of [(104, 2), 24, 114]-NRT-code) [i]
25Linear OOA(3179, 100, F3, 2, 113) (dual of [(100, 2), 21, 114]-NRT-code) [i]
26Linear OOA(3174, 96, F3, 2, 113) (dual of [(96, 2), 18, 114]-NRT-code) [i]
27Linear OOA(3169, 92, F3, 2, 113) (dual of [(92, 2), 15, 114]-NRT-code) [i]
28Linear OOA(3164, 88, F3, 2, 113) (dual of [(88, 2), 12, 114]-NRT-code) [i]
29Linear OOA(3159, 84, F3, 2, 113) (dual of [(84, 2), 9, 114]-NRT-code) [i]
30Linear OOA(3154, 80, F3, 2, 113) (dual of [(80, 2), 6, 114]-NRT-code) [i]
31Linear OOA(3243, 126, F3, 2, 170) (dual of [(126, 2), 9, 171]-NRT-code) [i]
32Linear OOA(3216, 81, F3, 3, 132) (dual of [(81, 3), 27, 133]-NRT-code) [i]
33Linear OOA(3210, 78, F3, 3, 132) (dual of [(78, 3), 24, 133]-NRT-code) [i]
34Linear OOA(3204, 75, F3, 3, 132) (dual of [(75, 3), 21, 133]-NRT-code) [i]
35Linear OOA(3198, 72, F3, 3, 132) (dual of [(72, 3), 18, 133]-NRT-code) [i]
36Linear OOA(3192, 69, F3, 3, 132) (dual of [(69, 3), 15, 133]-NRT-code) [i]
37Linear OOA(3186, 66, F3, 3, 132) (dual of [(66, 3), 12, 133]-NRT-code) [i]
38Linear OOA(3243, 84, F3, 3, 189) (dual of [(84, 3), 9, 190]-NRT-code) [i]
39Linear OOA(3234, 80, F3, 3, 189) (dual of [(80, 3), 6, 190]-NRT-code) [i]