Information on Result #606413

Linear OA(2716, 27, F27, 16) (dual of [27, 11, 17]-code or 27-arc in PG(15,27)), using Reed–Solomon code RS(11,27)

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(375, 108, F3, 33) (dual of [108, 33, 34]-code) [i]Concatenation of Two Codes
2Linear OA(374, 104, F3, 33) (dual of [104, 30, 34]-code) [i]
3Linear OA(373, 100, F3, 33) (dual of [100, 27, 34]-code) [i]
4Linear OA(372, 96, F3, 33) (dual of [96, 24, 34]-code) [i]
5Linear OA(371, 92, F3, 33) (dual of [92, 21, 34]-code) [i]
6Linear OA(3148, 175, F3, 67) (dual of [175, 27, 68]-code) [i]
7Linear OA(3144, 168, F3, 67) (dual of [168, 24, 68]-code) [i]
8Linear OA(3140, 161, F3, 67) (dual of [161, 21, 68]-code) [i]
9Linear OA(3183, 216, F3, 84) (dual of [216, 33, 85]-code) [i]
10Linear OA(3173, 200, F3, 84) (dual of [200, 27, 85]-code) [i]
11Linear OA(3168, 192, F3, 84) (dual of [192, 24, 85]-code) [i]
12Linear OA(3163, 184, F3, 84) (dual of [184, 21, 85]-code) [i]
13Linear OA(3153, 168, F3, 84) (dual of [168, 15, 85]-code) [i]
14Linear OA(3148, 160, F3, 84) (dual of [160, 12, 85]-code) [i]
15Linear OA(3143, 152, F3, 84) (dual of [152, 9, 85]-code) [i]
16Linear OA(3210, 243, F3, 101) (dual of [243, 33, 102]-code) [i]
17Linear OA(3186, 207, F3, 101) (dual of [207, 21, 102]-code) [i]
18Linear OA(3180, 198, F3, 101) (dual of [198, 18, 102]-code) [i]
19Linear OA(3174, 189, F3, 101) (dual of [189, 15, 102]-code) [i]
20Linear OA(3168, 180, F3, 101) (dual of [180, 12, 102]-code) [i]
21Linear OA(3162, 171, F3, 101) (dual of [171, 9, 102]-code) [i]
22Linear OA(3248, 260, F3, 152) (dual of [260, 12, 153]-code) [i]
23Linear OOA(3129, 81, F3, 2, 67) (dual of [(81, 2), 33, 68]-NRT-code) [i]Concatenation of Two NRT-Codes
24Linear OOA(3126, 78, F3, 2, 67) (dual of [(78, 2), 30, 68]-NRT-code) [i]
25Linear OOA(3123, 75, F3, 2, 67) (dual of [(75, 2), 27, 68]-NRT-code) [i]
26Linear OOA(3120, 72, F3, 2, 67) (dual of [(72, 2), 24, 68]-NRT-code) [i]
27Linear OOA(3117, 69, F3, 2, 67) (dual of [(69, 2), 21, 68]-NRT-code) [i]
28Linear OOA(3114, 66, F3, 2, 67) (dual of [(66, 2), 18, 68]-NRT-code) [i]
29Linear OOA(3111, 63, F3, 2, 67) (dual of [(63, 2), 15, 68]-NRT-code) [i]
30Linear OOA(3108, 60, F3, 2, 67) (dual of [(60, 2), 12, 68]-NRT-code) [i]
31Linear OOA(3105, 57, F3, 2, 67) (dual of [(57, 2), 9, 68]-NRT-code) [i]
32Linear OOA(3183, 108, F3, 2, 101) (dual of [(108, 2), 33, 102]-NRT-code) [i]
33Linear OOA(3178, 104, F3, 2, 101) (dual of [(104, 2), 30, 102]-NRT-code) [i]
34Linear OOA(3173, 100, F3, 2, 101) (dual of [(100, 2), 27, 102]-NRT-code) [i]
35Linear OOA(3168, 96, F3, 2, 101) (dual of [(96, 2), 24, 102]-NRT-code) [i]
36Linear OOA(3163, 92, F3, 2, 101) (dual of [(92, 2), 21, 102]-NRT-code) [i]
37Linear OOA(3158, 88, F3, 2, 101) (dual of [(88, 2), 18, 102]-NRT-code) [i]
38Linear OOA(3153, 84, F3, 2, 101) (dual of [(84, 2), 15, 102]-NRT-code) [i]
39Linear OOA(3148, 80, F3, 2, 101) (dual of [(80, 2), 12, 102]-NRT-code) [i]
40Linear OOA(3143, 76, F3, 2, 101) (dual of [(76, 2), 9, 102]-NRT-code) [i]
41Linear OOA(3138, 72, F3, 2, 101) (dual of [(72, 2), 6, 102]-NRT-code) [i]
42Linear OOA(3246, 126, F3, 2, 186) (dual of [(126, 2), 6, 187]-NRT-code) [i]
43Linear OOA(3204, 78, F3, 3, 118) (dual of [(78, 3), 30, 119]-NRT-code) [i]
44Linear OOA(3198, 75, F3, 3, 118) (dual of [(75, 3), 27, 119]-NRT-code) [i]
45Linear OOA(3192, 72, F3, 3, 118) (dual of [(72, 3), 24, 119]-NRT-code) [i]
46Linear OOA(3246, 88, F3, 3, 169) (dual of [(88, 3), 18, 170]-NRT-code) [i]
47Linear OOA(3237, 84, F3, 3, 169) (dual of [(84, 3), 15, 170]-NRT-code) [i]
48Linear OOA(3228, 80, F3, 3, 169) (dual of [(80, 3), 12, 170]-NRT-code) [i]
49Linear OOA(3219, 76, F3, 3, 169) (dual of [(76, 3), 9, 170]-NRT-code) [i]
50Linear OOA(3210, 72, F3, 3, 169) (dual of [(72, 3), 6, 170]-NRT-code) [i]