Information on Result #606398

Linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), using Reed–Solomon code RS(26,27)

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(2725, 110, F27, 14) (dual of [110, 85, 15]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2732, 110, F27, 18) (dual of [110, 78, 19]-code) [i]
3Linear OA(2743, 188, F27, 23) (dual of [188, 145, 24]-code) [i]
4Linear OA(2747, 189, F27, 25) (dual of [189, 142, 26]-code) [i]
5Linear OA(2749, 189, F27, 26) (dual of [189, 140, 27]-code) [i]
6Linear OA(2758, 189, F27, 32) (dual of [189, 131, 33]-code) [i]
7Linear OA(2760, 189, F27, 33) (dual of [189, 129, 34]-code) [i]
8Linear OA(2762, 189, F27, 34) (dual of [189, 127, 35]-code) [i]
9Linear OA(2769, 189, F27, 39) (dual of [189, 120, 40]-code) [i]
10Linear OA(2771, 189, F27, 40) (dual of [189, 118, 41]-code) [i]
11Linear OA(2773, 189, F27, 41) (dual of [189, 116, 42]-code) [i]
12Linear OA(2780, 189, F27, 46) (dual of [189, 109, 47]-code) [i]
13Linear OA(2782, 189, F27, 47) (dual of [189, 107, 48]-code) [i]
14Linear OA(2784, 189, F27, 48) (dual of [189, 105, 49]-code) [i]
15Linear OA(2791, 189, F27, 53) (dual of [189, 98, 54]-code) [i]
16Linear OA(2793, 189, F27, 54) (dual of [189, 96, 55]-code) [i]
17Linear OA(27100, 189, F27, 60) (dual of [189, 89, 61]-code) [i]
18Linear OA(27102, 189, F27, 61) (dual of [189, 87, 62]-code) [i]
19Linear OA(27109, 189, F27, 67) (dual of [189, 80, 68]-code) [i]
20Linear OA(2785, 371, F27, 46) (dual of [371, 286, 47]-code) [i]
21Linear OA(2787, 371, F27, 47) (dual of [371, 284, 48]-code) [i]
22Linear OA(2789, 371, F27, 48) (dual of [371, 282, 49]-code) [i]
23Linear OA(2791, 371, F27, 49) (dual of [371, 280, 50]-code) [i]
24Linear OA(2793, 371, F27, 50) (dual of [371, 278, 51]-code) [i]
25Linear OA(2795, 371, F27, 51) (dual of [371, 276, 52]-code) [i]
26Linear OA(2797, 371, F27, 52) (dual of [371, 274, 53]-code) [i]
27Linear OA(2799, 371, F27, 53) (dual of [371, 272, 54]-code) [i]
28Linear OA(27101, 371, F27, 54) (dual of [371, 270, 55]-code) [i]
29Linear OA(27108, 371, F27, 60) (dual of [371, 263, 61]-code) [i]
30Linear OA(27110, 371, F27, 61) (dual of [371, 261, 62]-code) [i]
31Linear OA(2712, 735, F27, 6) (dual of [735, 723, 7]-code) [i]
32Linear OA(2716, 735, F27, 8) (dual of [735, 719, 9]-code) [i]
33Linear OA(2720, 735, F27, 10) (dual of [735, 715, 11]-code) [i]
34Linear OA(2744, 759, F27, 18) (dual of [759, 715, 19]-code) [i]
35Linear OA(2724, 735, F27, 12) (dual of [735, 711, 13]-code) [i]
36Linear OA(2746, 759, F27, 19) (dual of [759, 713, 20]-code) [i]
37Linear OA(2749, 760, F27, 20) (dual of [760, 711, 21]-code) [i]
38Linear OA(2749, 761, F27, 20) (dual of [761, 712, 21]-code) [i]
39Linear OA(2748, 759, F27, 20) (dual of [759, 711, 21]-code) [i]
40Linear OA(2751, 761, F27, 21) (dual of [761, 710, 22]-code) [i]
41Linear OA(2728, 735, F27, 14) (dual of [735, 707, 15]-code) [i]
42Linear OA(2750, 759, F27, 21) (dual of [759, 709, 22]-code) [i]
43Linear OA(2753, 760, F27, 22) (dual of [760, 707, 23]-code) [i]
44Linear OA(2753, 761, F27, 22) (dual of [761, 708, 23]-code) [i]
45Linear OA(2752, 759, F27, 22) (dual of [759, 707, 23]-code) [i]
46Linear OA(2755, 761, F27, 23) (dual of [761, 706, 24]-code) [i]
47Linear OA(2732, 735, F27, 16) (dual of [735, 703, 17]-code) [i]
48Linear OA(2754, 759, F27, 23) (dual of [759, 705, 24]-code) [i]
49Linear OA(2757, 760, F27, 24) (dual of [760, 703, 25]-code) [i]
50Linear OA(2757, 761, F27, 24) (dual of [761, 704, 25]-code) [i]
51Linear OA(2756, 759, F27, 24) (dual of [759, 703, 25]-code) [i]
52Linear OA(2759, 761, F27, 25) (dual of [761, 702, 26]-code) [i]
53Linear OA(2736, 735, F27, 18) (dual of [735, 699, 19]-code) [i]
54Linear OA(2758, 759, F27, 25) (dual of [759, 701, 26]-code) [i]
55Linear OA(2761, 760, F27, 26) (dual of [760, 699, 27]-code) [i]
56Linear OA(2761, 761, F27, 26) (dual of [761, 700, 27]-code) [i]
57Linear OA(2760, 759, F27, 26) (dual of [759, 699, 27]-code) [i]
58Linear OA(2763, 761, F27, 27) (dual of [761, 698, 28]-code) [i]
59Linear OA(2740, 735, F27, 20) (dual of [735, 695, 21]-code) [i]
60Linear OA(2762, 759, F27, 27) (dual of [759, 697, 28]-code) [i]
61Linear OA(2767, 760, F27, 30) (dual of [760, 693, 31]-code) [i]
62Linear OA(2744, 735, F27, 22) (dual of [735, 691, 23]-code) [i]
63Linear OA(2769, 760, F27, 31) (dual of [760, 691, 32]-code) [i]
64Linear OA(2769, 761, F27, 31) (dual of [761, 692, 32]-code) [i]
65Linear OA(2771, 760, F27, 32) (dual of [760, 689, 33]-code) [i]
66Linear OA(2768, 759, F27, 31) (dual of [759, 691, 32]-code) [i]
67Linear OA(2771, 761, F27, 32) (dual of [761, 690, 33]-code) [i]
68Linear OA(2748, 735, F27, 24) (dual of [735, 687, 25]-code) [i]
69Linear OA(2773, 760, F27, 33) (dual of [760, 687, 34]-code) [i]
70Linear OA(2770, 759, F27, 32) (dual of [759, 689, 33]-code) [i]
71Linear OA(2773, 761, F27, 33) (dual of [761, 688, 34]-code) [i]
72Linear OA(2775, 760, F27, 34) (dual of [760, 685, 35]-code) [i]
73Linear OA(2772, 759, F27, 33) (dual of [759, 687, 34]-code) [i]
74Linear OA(2775, 761, F27, 34) (dual of [761, 686, 35]-code) [i]
75Linear OA(2752, 735, F27, 26) (dual of [735, 683, 27]-code) [i]
76Linear OA(2777, 760, F27, 35) (dual of [760, 683, 36]-code) [i]
77Linear OA(2774, 759, F27, 34) (dual of [759, 685, 35]-code) [i]
78Linear OA(2777, 761, F27, 35) (dual of [761, 684, 36]-code) [i]
79Linear OA(2779, 760, F27, 36) (dual of [760, 681, 37]-code) [i]
80Linear OA(2776, 759, F27, 35) (dual of [759, 683, 36]-code) [i]
81Linear OA(2779, 761, F27, 36) (dual of [761, 682, 37]-code) [i]
82Linear OA(2781, 760, F27, 37) (dual of [760, 679, 38]-code) [i]
83Linear OA(2778, 759, F27, 36) (dual of [759, 681, 37]-code) [i]
84Linear OA(2781, 761, F27, 37) (dual of [761, 680, 38]-code) [i]
85Linear OA(2783, 760, F27, 38) (dual of [760, 677, 39]-code) [i]
86Linear OA(2780, 759, F27, 37) (dual of [759, 679, 38]-code) [i]
87Linear OA(2783, 761, F27, 38) (dual of [761, 678, 39]-code) [i]
88Linear OA(2782, 759, F27, 38) (dual of [759, 677, 39]-code) [i]
89Linear OA(2784, 760, F27, 39) (dual of [760, 676, 40]-code) [i]
90Linear OA(2761, 735, F27, 32) (dual of [735, 674, 33]-code) [i]
91Linear OA(2786, 760, F27, 40) (dual of [760, 674, 41]-code) [i]
92Linear OA(2786, 761, F27, 40) (dual of [761, 675, 41]-code) [i]
93Linear OA(2763, 735, F27, 33) (dual of [735, 672, 34]-code) [i]
94Linear OA(2785, 759, F27, 40) (dual of [759, 674, 41]-code) [i]
95Linear OA(2788, 761, F27, 41) (dual of [761, 673, 42]-code) [i]
96Linear OA(2765, 735, F27, 34) (dual of [735, 670, 35]-code) [i]
97Linear OA(2787, 759, F27, 41) (dual of [759, 672, 42]-code) [i]
98Linear OA(2790, 761, F27, 42) (dual of [761, 671, 43]-code) [i]
99Linear OA(2767, 735, F27, 35) (dual of [735, 668, 36]-code) [i]
100Linear OA(2789, 759, F27, 42) (dual of [759, 670, 43]-code) [i]
101Linear OA(2792, 761, F27, 43) (dual of [761, 669, 44]-code) [i]
102Linear OA(2769, 735, F27, 36) (dual of [735, 666, 37]-code) [i]
103Linear OA(2791, 759, F27, 43) (dual of [759, 668, 44]-code) [i]
104Linear OA(2794, 761, F27, 44) (dual of [761, 667, 45]-code) [i]
105Linear OA(2771, 735, F27, 37) (dual of [735, 664, 38]-code) [i]
106Linear OA(2793, 759, F27, 44) (dual of [759, 666, 45]-code) [i]
107Linear OA(2796, 761, F27, 45) (dual of [761, 665, 46]-code) [i]
108Linear OA(2773, 735, F27, 38) (dual of [735, 662, 39]-code) [i]
109Linear OA(2795, 759, F27, 45) (dual of [759, 664, 46]-code) [i]
110Linear OA(2798, 761, F27, 46) (dual of [761, 663, 47]-code) [i]
111Linear OA(2775, 735, F27, 39) (dual of [735, 660, 40]-code) [i]
112Linear OA(2797, 759, F27, 46) (dual of [759, 662, 47]-code) [i]
113Linear OA(27100, 761, F27, 47) (dual of [761, 661, 48]-code) [i]
114Linear OA(2777, 735, F27, 40) (dual of [735, 658, 41]-code) [i]
115Linear OA(2799, 759, F27, 47) (dual of [759, 660, 48]-code) [i]
116Linear OA(27102, 761, F27, 48) (dual of [761, 659, 49]-code) [i]
117Linear OA(2779, 735, F27, 41) (dual of [735, 656, 42]-code) [i]
118Linear OA(27101, 759, F27, 48) (dual of [759, 658, 49]-code) [i]
119Linear OA(27104, 761, F27, 49) (dual of [761, 657, 50]-code) [i]
120Linear OA(2781, 735, F27, 42) (dual of [735, 654, 43]-code) [i]
121Linear OA(27103, 759, F27, 49) (dual of [759, 656, 50]-code) [i]
122Linear OA(27106, 761, F27, 50) (dual of [761, 655, 51]-code) [i]
123Linear OA(2783, 735, F27, 43) (dual of [735, 652, 44]-code) [i]
124Linear OA(27105, 759, F27, 50) (dual of [759, 654, 51]-code) [i]
125Linear OA(27108, 761, F27, 51) (dual of [761, 653, 52]-code) [i]
126Linear OA(2785, 735, F27, 44) (dual of [735, 650, 45]-code) [i]
127Linear OA(27107, 759, F27, 51) (dual of [759, 652, 52]-code) [i]
128Linear OA(27110, 761, F27, 52) (dual of [761, 651, 53]-code) [i]
129Linear OA(2787, 735, F27, 45) (dual of [735, 648, 46]-code) [i]
130Linear OA(27109, 759, F27, 52) (dual of [759, 650, 53]-code) [i]
131Linear OA(2789, 735, F27, 46) (dual of [735, 646, 47]-code) [i]
132Linear OA(2791, 735, F27, 47) (dual of [735, 644, 48]-code) [i]
133Linear OA(2793, 735, F27, 48) (dual of [735, 642, 49]-code) [i]
134Linear OA(2795, 735, F27, 49) (dual of [735, 640, 50]-code) [i]
135Linear OA(2797, 735, F27, 50) (dual of [735, 638, 51]-code) [i]
136Linear OA(2799, 735, F27, 51) (dual of [735, 636, 52]-code) [i]
137Linear OA(27101, 735, F27, 52) (dual of [735, 634, 53]-code) [i]
138Linear OA(27103, 735, F27, 53) (dual of [735, 632, 54]-code) [i]
139Linear OA(27105, 735, F27, 54) (dual of [735, 630, 55]-code) [i]
140Linear OA(2734, 531452, F27, 9) (dual of [531452, 531418, 10]-code) [i]Construction X4 with Cyclic Codes
141Linear OA(2726, 531452, F27, 7) (dual of [531452, 531426, 8]-code) [i]
142Linear OA(2718, 531452, F27, 5) (dual of [531452, 531434, 6]-code) [i]
143Linear OA(2720, 19692, F27, 7) (dual of [19692, 19672, 8]-code) [i]
144Linear OA(2714, 19692, F27, 5) (dual of [19692, 19678, 6]-code) [i]
145Linear OA(2714, 531447, F27, 4) (dual of [531447, 531433, 5]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
146Linear OA(2730, 531451, F27, 8) (dual of [531451, 531421, 9]-code) [i]
147Linear OA(2722, 531451, F27, 6) (dual of [531451, 531429, 7]-code) [i]
148Linear OA(2714, 531451, F27, 4) (dual of [531451, 531437, 5]-code) [i]
149Linear OA(2750, 531455, F27, 12) (dual of [531455, 531405, 13]-code) [i]
150Linear OA(2717, 19691, F27, 6) (dual of [19691, 19674, 7]-code) [i]
151Linear OA(2711, 19691, F27, 4) (dual of [19691, 19680, 5]-code) [i]
152Linear OA(2732, 19694, F27, 10) (dual of [19694, 19662, 11]-code) [i]