Information on Result #606406

Linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using Reed–Solomon code RS(18,27)

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(27105, 762, F27, 39) (dual of [762, 657, 40]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(27107, 765, F27, 39) (dual of [765, 658, 40]-code) [i]
3Linear OA(27109, 768, F27, 39) (dual of [768, 659, 40]-code) [i]
4Linear OA(27110, 771, F27, 39) (dual of [771, 661, 40]-code) [i]
5Linear OA(27103, 762, F27, 38) (dual of [762, 659, 39]-code) [i]
6Linear OA(27105, 765, F27, 38) (dual of [765, 660, 39]-code) [i]
7Linear OA(27106, 768, F27, 38) (dual of [768, 662, 39]-code) [i]
8Linear OA(27107, 771, F27, 38) (dual of [771, 664, 39]-code) [i]
9Linear OA(27101, 762, F27, 37) (dual of [762, 661, 38]-code) [i]
10Linear OA(27103, 765, F27, 37) (dual of [765, 662, 38]-code) [i]
11Linear OA(27104, 768, F27, 37) (dual of [768, 664, 38]-code) [i]
12Linear OA(2799, 762, F27, 36) (dual of [762, 663, 37]-code) [i]
13Linear OA(27101, 765, F27, 36) (dual of [765, 664, 37]-code) [i]
14Linear OA(353, 104, F3, 19) (dual of [104, 51, 20]-code) [i]Concatenation of Two Codes
15Linear OA(352, 100, F3, 19) (dual of [100, 48, 20]-code) [i]
16Linear OA(351, 96, F3, 19) (dual of [96, 45, 20]-code) [i]
17Linear OA(3117, 135, F3, 59) (dual of [135, 18, 60]-code) [i]
18Linear OOA(384, 57, F3, 2, 39) (dual of [(57, 2), 30, 40]-NRT-code) [i]Concatenation of Two NRT-Codes
19Linear OOA(381, 54, F3, 2, 39) (dual of [(54, 2), 27, 40]-NRT-code) [i]
20Linear OOA(378, 51, F3, 2, 39) (dual of [(51, 2), 24, 40]-NRT-code) [i]
21Linear OOA(375, 48, F3, 2, 39) (dual of [(48, 2), 21, 40]-NRT-code) [i]
22Linear OOA(372, 45, F3, 2, 39) (dual of [(45, 2), 18, 40]-NRT-code) [i]
23Linear OOA(397, 56, F3, 2, 59) (dual of [(56, 2), 15, 60]-NRT-code) [i]
24Linear OOA(392, 52, F3, 2, 59) (dual of [(52, 2), 12, 60]-NRT-code) [i]
25Linear OOA(387, 48, F3, 2, 59) (dual of [(48, 2), 9, 60]-NRT-code) [i]
26Linear OOA(382, 44, F3, 2, 59) (dual of [(44, 2), 6, 60]-NRT-code) [i]
27Linear OOA(3148, 77, F3, 2, 109) (dual of [(77, 2), 6, 110]-NRT-code) [i]
28Linear OA(2797, 112, F27, 78) (dual of [112, 15, 79]-code) [i]Construction X with Algebraic-Geometric Codes
29Linear OA(2796, 112, F27, 77) (dual of [112, 16, 78]-code) [i]
30Linear OA(2795, 112, F27, 76) (dual of [112, 17, 77]-code) [i]
31Linear OA(2794, 112, F27, 75) (dual of [112, 18, 76]-code) [i]
32Linear OA(2793, 112, F27, 74) (dual of [112, 19, 75]-code) [i]
33Linear OA(2792, 112, F27, 73) (dual of [112, 20, 74]-code) [i]
34Linear OA(2791, 112, F27, 72) (dual of [112, 21, 73]-code) [i]
35Linear OA(2790, 112, F27, 71) (dual of [112, 22, 72]-code) [i]
36Linear OA(2789, 112, F27, 70) (dual of [112, 23, 71]-code) [i]
37Linear OA(2788, 112, F27, 69) (dual of [112, 24, 70]-code) [i]
38Linear OA(2787, 112, F27, 68) (dual of [112, 25, 69]-code) [i]
39Linear OA(2786, 112, F27, 67) (dual of [112, 26, 68]-code) [i]
40Linear OA(2785, 112, F27, 66) (dual of [112, 27, 67]-code) [i]
41Linear OA(2784, 112, F27, 65) (dual of [112, 28, 66]-code) [i]
42Linear OA(2783, 112, F27, 64) (dual of [112, 29, 65]-code) [i]
43Linear OA(2782, 112, F27, 63) (dual of [112, 30, 64]-code) [i]
44Linear OA(2781, 112, F27, 62) (dual of [112, 31, 63]-code) [i]
45Linear OA(2780, 112, F27, 61) (dual of [112, 32, 62]-code) [i]
46Linear OA(2779, 112, F27, 60) (dual of [112, 33, 61]-code) [i]
47Linear OA(2778, 112, F27, 59) (dual of [112, 34, 60]-code) [i]
48Linear OA(2777, 112, F27, 58) (dual of [112, 35, 59]-code) [i]
49Linear OA(2776, 112, F27, 57) (dual of [112, 36, 58]-code) [i]
50Linear OA(2775, 112, F27, 56) (dual of [112, 37, 57]-code) [i]
51Linear OA(2774, 112, F27, 55) (dual of [112, 38, 56]-code) [i]
52Linear OA(2773, 112, F27, 54) (dual of [112, 39, 55]-code) [i]
53Linear OA(2772, 112, F27, 53) (dual of [112, 40, 54]-code) [i]
54Linear OA(2771, 112, F27, 52) (dual of [112, 41, 53]-code) [i]
55Linear OA(2770, 112, F27, 51) (dual of [112, 42, 52]-code) [i]
56Linear OA(2769, 112, F27, 50) (dual of [112, 43, 51]-code) [i]
57Linear OA(2768, 112, F27, 49) (dual of [112, 44, 50]-code) [i]
58Linear OA(2767, 112, F27, 48) (dual of [112, 45, 49]-code) [i]
59Linear OA(2766, 112, F27, 47) (dual of [112, 46, 48]-code) [i]
60Linear OA(2765, 112, F27, 46) (dual of [112, 47, 47]-code) [i]
61Linear OA(2764, 112, F27, 45) (dual of [112, 48, 46]-code) [i]
62Linear OA(2763, 112, F27, 44) (dual of [112, 49, 45]-code) [i]
63Linear OA(2762, 112, F27, 43) (dual of [112, 50, 44]-code) [i]
64Linear OA(2761, 112, F27, 42) (dual of [112, 51, 43]-code) [i]
65Linear OA(2760, 112, F27, 41) (dual of [112, 52, 42]-code) [i]
66Linear OA(2759, 112, F27, 40) (dual of [112, 53, 41]-code) [i]
67Linear OA(2758, 112, F27, 39) (dual of [112, 54, 40]-code) [i]
68Linear OA(2757, 112, F27, 38) (dual of [112, 55, 39]-code) [i]
69Linear OA(2756, 112, F27, 37) (dual of [112, 56, 38]-code) [i]
70Linear OA(2755, 112, F27, 36) (dual of [112, 57, 37]-code) [i]
71Linear OA(2754, 112, F27, 35) (dual of [112, 58, 36]-code) [i]
72Linear OA(2753, 112, F27, 34) (dual of [112, 59, 35]-code) [i]
73Linear OA(2752, 112, F27, 33) (dual of [112, 60, 34]-code) [i]
74Linear OA(2751, 112, F27, 32) (dual of [112, 61, 33]-code) [i]
75Linear OA(2750, 112, F27, 31) (dual of [112, 62, 32]-code) [i]
76Linear OA(2749, 112, F27, 30) (dual of [112, 63, 31]-code) [i]
77Linear OA(2748, 112, F27, 29) (dual of [112, 64, 30]-code) [i]
78Linear OA(2747, 112, F27, 28) (dual of [112, 65, 29]-code) [i]
79Linear OA(2746, 112, F27, 27) (dual of [112, 66, 28]-code) [i]
80Linear OA(2745, 112, F27, 26) (dual of [112, 67, 27]-code) [i]
81Linear OA(2744, 112, F27, 25) (dual of [112, 68, 26]-code) [i]
82Linear OA(2743, 112, F27, 24) (dual of [112, 69, 25]-code) [i]
83Linear OA(27110, 226, F27, 77) (dual of [226, 116, 78]-code) [i]
84Linear OA(27109, 226, F27, 76) (dual of [226, 117, 77]-code) [i]
85Linear OA(27108, 226, F27, 75) (dual of [226, 118, 76]-code) [i]
86Linear OA(27107, 226, F27, 74) (dual of [226, 119, 75]-code) [i]
87Linear OA(27106, 226, F27, 73) (dual of [226, 120, 74]-code) [i]
88Linear OA(27105, 226, F27, 72) (dual of [226, 121, 73]-code) [i]
89Linear OA(27104, 226, F27, 71) (dual of [226, 122, 72]-code) [i]
90Linear OA(27103, 226, F27, 70) (dual of [226, 123, 71]-code) [i]
91Linear OA(27102, 226, F27, 69) (dual of [226, 124, 70]-code) [i]
92Linear OA(27101, 226, F27, 68) (dual of [226, 125, 69]-code) [i]
93Linear OA(27100, 226, F27, 67) (dual of [226, 126, 68]-code) [i]
94Linear OA(2799, 226, F27, 66) (dual of [226, 127, 67]-code) [i]
95Linear OA(2798, 226, F27, 65) (dual of [226, 128, 66]-code) [i]
96Linear OA(2797, 226, F27, 64) (dual of [226, 129, 65]-code) [i]
97Linear OA(2796, 226, F27, 63) (dual of [226, 130, 64]-code) [i]
98Linear OA(2795, 226, F27, 62) (dual of [226, 131, 63]-code) [i]
99Linear OA(2794, 226, F27, 61) (dual of [226, 132, 62]-code) [i]
100Linear OA(2793, 226, F27, 60) (dual of [226, 133, 61]-code) [i]
101Linear OA(2792, 226, F27, 59) (dual of [226, 134, 60]-code) [i]
102Linear OA(2791, 226, F27, 58) (dual of [226, 135, 59]-code) [i]
103Linear OA(2790, 226, F27, 57) (dual of [226, 136, 58]-code) [i]
104Linear OA(2789, 226, F27, 56) (dual of [226, 137, 57]-code) [i]
105Linear OA(2788, 226, F27, 55) (dual of [226, 138, 56]-code) [i]
106Linear OA(2787, 226, F27, 54) (dual of [226, 139, 55]-code) [i]
107Linear OA(2786, 226, F27, 53) (dual of [226, 140, 54]-code) [i]
108Linear OA(2785, 226, F27, 52) (dual of [226, 141, 53]-code) [i]
109Linear OA(2784, 226, F27, 51) (dual of [226, 142, 52]-code) [i]
110Linear OA(2783, 226, F27, 50) (dual of [226, 143, 51]-code) [i]
111Linear OA(2782, 226, F27, 49) (dual of [226, 144, 50]-code) [i]
112Linear OA(2774, 751, F27, 29) (dual of [751, 677, 30]-code) [i](u, u−v, u+v+w)-Construction
113Linear OA(2775, 753, F27, 29) (dual of [753, 678, 30]-code) [i]
114Linear OA(2776, 755, F27, 29) (dual of [755, 679, 30]-code) [i]
115Linear OA(27102, 19705, F27, 29) (dual of [19705, 19603, 30]-code) [i]
116Linear OA(27103, 19707, F27, 29) (dual of [19707, 19604, 30]-code) [i]
117Linear OA(27104, 19709, F27, 29) (dual of [19709, 19605, 30]-code) [i]
118Linear OA(2773, 751, F27, 28) (dual of [751, 678, 29]-code) [i]
119Linear OA(2774, 753, F27, 28) (dual of [753, 679, 29]-code) [i]
120Linear OA(2775, 755, F27, 28) (dual of [755, 680, 29]-code) [i]
121Linear OA(2799, 19705, F27, 28) (dual of [19705, 19606, 29]-code) [i]
122Linear OA(27100, 19707, F27, 28) (dual of [19707, 19607, 29]-code) [i]
123Linear OA(27101, 19709, F27, 28) (dual of [19709, 19608, 29]-code) [i]
124Linear OA(27109, 203, F27, 62) (dual of [203, 94, 63]-code) [i]Construction X with Cyclic Codes
125Linear OA(2768, 772, F27, 28) (dual of [772, 704, 29]-code) [i]Construction XX with Cyclic Codes
126Linear OA(2767, 769, F27, 28) (dual of [769, 702, 29]-code) [i]
127Linear OA(2769, 771, F27, 29) (dual of [771, 702, 30]-code) [i]
128Linear OA(2768, 768, F27, 29) (dual of [768, 700, 30]-code) [i]
129Linear OA(2772, 774, F27, 30) (dual of [774, 702, 31]-code) [i]
130Linear OA(2771, 771, F27, 30) (dual of [771, 700, 31]-code) [i]
131Linear OA(2770, 768, F27, 30) (dual of [768, 698, 31]-code) [i]
132Linear OA(2765, 756, F27, 30) (dual of [756, 691, 31]-code) [i]
133Linear OA(2779, 782, F27, 32) (dual of [782, 703, 33]-code) [i]
134Linear OA(2774, 774, F27, 31) (dual of [774, 700, 32]-code) [i]
135Linear OA(2773, 771, F27, 31) (dual of [771, 698, 32]-code) [i]
136Linear OA(2772, 768, F27, 31) (dual of [768, 696, 32]-code) [i]
137Linear OA(2767, 756, F27, 31) (dual of [756, 689, 32]-code) [i]
138Linear OA(2768, 759, F27, 31) (dual of [759, 691, 32]-code) [i]
139Linear OA(2778, 780, F27, 32) (dual of [780, 702, 33]-code) [i]
140Linear OA(2778, 780, F27, 32) (dual of [780, 702, 33]-code) [i]
141Linear OA(2777, 777, F27, 32) (dual of [777, 700, 33]-code) [i]
142Linear OA(2781, 782, F27, 33) (dual of [782, 701, 34]-code) [i]
143Linear OA(2776, 774, F27, 32) (dual of [774, 698, 33]-code) [i]
144Linear OA(2784, 782, F27, 34) (dual of [782, 698, 35]-code) [i]
145Linear OA(2775, 771, F27, 32) (dual of [771, 696, 33]-code) [i]
146Linear OA(2769, 756, F27, 32) (dual of [756, 687, 33]-code) [i]
147Linear OA(2770, 759, F27, 32) (dual of [759, 689, 33]-code) [i]
148Linear OA(2771, 762, F27, 32) (dual of [762, 691, 33]-code) [i]
149Linear OA(2780, 780, F27, 33) (dual of [780, 700, 34]-code) [i]
150Linear OA(2780, 780, F27, 33) (dual of [780, 700, 34]-code) [i]
151Linear OA(2779, 777, F27, 33) (dual of [777, 698, 34]-code) [i]
152Linear OA(2784, 784, F27, 34) (dual of [784, 700, 35]-code) [i]
153Linear OA(2783, 782, F27, 34) (dual of [782, 699, 35]-code) [i]
154Linear OA(2778, 774, F27, 33) (dual of [774, 696, 34]-code) [i]
155Linear OA(2786, 782, F27, 35) (dual of [782, 696, 36]-code) [i]
156Linear OA(2771, 756, F27, 33) (dual of [756, 685, 34]-code) [i]
157Linear OA(2772, 759, F27, 33) (dual of [759, 687, 34]-code) [i]
158Linear OA(2773, 762, F27, 33) (dual of [762, 689, 34]-code) [i]
159Linear OA(2774, 765, F27, 33) (dual of [765, 691, 34]-code) [i]
160Linear OA(2782, 780, F27, 34) (dual of [780, 698, 35]-code) [i]
161Linear OA(2782, 780, F27, 34) (dual of [780, 698, 35]-code) [i]
162Linear OA(2781, 777, F27, 34) (dual of [777, 696, 35]-code) [i]
163Linear OA(2786, 784, F27, 35) (dual of [784, 698, 36]-code) [i]
164Linear OA(2785, 782, F27, 35) (dual of [782, 697, 36]-code) [i]
165Linear OA(2789, 784, F27, 36) (dual of [784, 695, 37]-code) [i]
166Linear OA(2788, 782, F27, 36) (dual of [782, 694, 37]-code) [i]
167Linear OA(2773, 756, F27, 34) (dual of [756, 683, 35]-code) [i]
168Linear OA(2774, 759, F27, 34) (dual of [759, 685, 35]-code) [i]
169Linear OA(2775, 762, F27, 34) (dual of [762, 687, 35]-code) [i]
170Linear OA(2776, 765, F27, 34) (dual of [765, 689, 35]-code) [i]
171Linear OA(2777, 768, F27, 34) (dual of [768, 691, 35]-code) [i]
172Linear OA(2784, 780, F27, 35) (dual of [780, 696, 36]-code) [i]
173Linear OA(2784, 780, F27, 35) (dual of [780, 696, 36]-code) [i]
174Linear OA(2788, 784, F27, 36) (dual of [784, 696, 37]-code) [i]
175Linear OA(2787, 782, F27, 36) (dual of [782, 695, 37]-code) [i]
176Linear OA(2791, 784, F27, 37) (dual of [784, 693, 38]-code) [i]
177Linear OA(2790, 782, F27, 37) (dual of [782, 692, 38]-code) [i]
178Linear OA(2775, 756, F27, 35) (dual of [756, 681, 36]-code) [i]
179Linear OA(2776, 759, F27, 35) (dual of [759, 683, 36]-code) [i]
180Linear OA(2777, 762, F27, 35) (dual of [762, 685, 36]-code) [i]
181Linear OA(2778, 765, F27, 35) (dual of [765, 687, 36]-code) [i]
182Linear OA(2779, 768, F27, 35) (dual of [768, 689, 36]-code) [i]
183Linear OA(2780, 771, F27, 35) (dual of [771, 691, 36]-code) [i]
184Linear OA(2790, 784, F27, 37) (dual of [784, 694, 38]-code) [i]
185Linear OA(2789, 782, F27, 37) (dual of [782, 693, 38]-code) [i]
186Linear OA(2777, 756, F27, 36) (dual of [756, 679, 37]-code) [i]
187Linear OA(2778, 759, F27, 36) (dual of [759, 681, 37]-code) [i]
188Linear OA(2779, 762, F27, 36) (dual of [762, 683, 37]-code) [i]
189Linear OA(2780, 765, F27, 36) (dual of [765, 685, 37]-code) [i]
190Linear OA(2781, 768, F27, 36) (dual of [768, 687, 37]-code) [i]
191Linear OA(2782, 771, F27, 36) (dual of [771, 689, 37]-code) [i]
192Linear OA(2783, 774, F27, 36) (dual of [774, 691, 37]-code) [i]
193Linear OA(2779, 756, F27, 37) (dual of [756, 677, 38]-code) [i]
194Linear OA(2780, 759, F27, 37) (dual of [759, 679, 38]-code) [i]
195Linear OA(2781, 762, F27, 37) (dual of [762, 681, 38]-code) [i]
196Linear OA(2782, 765, F27, 37) (dual of [765, 683, 38]-code) [i]
197Linear OA(2783, 768, F27, 37) (dual of [768, 685, 38]-code) [i]
198Linear OA(2784, 771, F27, 37) (dual of [771, 687, 38]-code) [i]
199Linear OA(2785, 774, F27, 37) (dual of [774, 689, 38]-code) [i]
200Linear OA(2786, 777, F27, 37) (dual of [777, 691, 38]-code) [i]
201Linear OA(2782, 759, F27, 38) (dual of [759, 677, 39]-code) [i]
202Linear OA(2783, 762, F27, 38) (dual of [762, 679, 39]-code) [i]
203Linear OA(2784, 765, F27, 38) (dual of [765, 681, 39]-code) [i]
204Linear OA(2785, 768, F27, 38) (dual of [768, 683, 39]-code) [i]
205Linear OA(2786, 771, F27, 38) (dual of [771, 685, 39]-code) [i]
206Linear OA(2787, 774, F27, 38) (dual of [774, 687, 39]-code) [i]
207Linear OA(2788, 777, F27, 38) (dual of [777, 689, 39]-code) [i]
208Linear OA(2789, 780, F27, 38) (dual of [780, 691, 39]-code) [i]
209Linear OA(2785, 762, F27, 39) (dual of [762, 677, 40]-code) [i]
210Linear OA(2786, 765, F27, 39) (dual of [765, 679, 40]-code) [i]
211Linear OA(2787, 768, F27, 39) (dual of [768, 681, 40]-code) [i]
212Linear OA(2788, 771, F27, 39) (dual of [771, 683, 40]-code) [i]
213Linear OA(2789, 774, F27, 39) (dual of [774, 685, 40]-code) [i]
214Linear OA(2790, 777, F27, 39) (dual of [777, 687, 40]-code) [i]
215Linear OA(2791, 780, F27, 39) (dual of [780, 689, 40]-code) [i]
216Linear OA(2788, 765, F27, 40) (dual of [765, 677, 41]-code) [i]
217Linear OA(2789, 768, F27, 40) (dual of [768, 679, 41]-code) [i]
218Linear OA(2790, 771, F27, 40) (dual of [771, 681, 41]-code) [i]
219Linear OA(2791, 774, F27, 40) (dual of [774, 683, 41]-code) [i]
220Linear OA(2792, 777, F27, 40) (dual of [777, 685, 41]-code) [i]
221Linear OA(2793, 780, F27, 40) (dual of [780, 687, 41]-code) [i]
222Linear OA(2791, 768, F27, 41) (dual of [768, 677, 42]-code) [i]
223Linear OA(2792, 771, F27, 41) (dual of [771, 679, 42]-code) [i]
224Linear OA(2793, 774, F27, 41) (dual of [774, 681, 42]-code) [i]
225Linear OA(2794, 777, F27, 41) (dual of [777, 683, 42]-code) [i]
226Linear OA(2795, 780, F27, 41) (dual of [780, 685, 42]-code) [i]
227Linear OA(2794, 771, F27, 42) (dual of [771, 677, 43]-code) [i]
228Linear OA(2795, 774, F27, 42) (dual of [774, 679, 43]-code) [i]
229Linear OA(2796, 777, F27, 42) (dual of [777, 681, 43]-code) [i]
230Linear OA(2797, 780, F27, 42) (dual of [780, 683, 43]-code) [i]
231Linear OA(2797, 774, F27, 43) (dual of [774, 677, 44]-code) [i]
232Linear OA(2798, 777, F27, 43) (dual of [777, 679, 44]-code) [i]
233Linear OA(2799, 780, F27, 43) (dual of [780, 681, 44]-code) [i]
234Linear OA(27100, 777, F27, 44) (dual of [777, 677, 45]-code) [i]
235Linear OA(27101, 780, F27, 44) (dual of [780, 679, 45]-code) [i]
236Linear OA(27103, 780, F27, 45) (dual of [780, 677, 46]-code) [i]
237Linear OA(2777, 755, F27, 36) (dual of [755, 678, 37]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
238Linear OA(2775, 755, F27, 35) (dual of [755, 680, 36]-code) [i]
239Linear OA(2773, 755, F27, 34) (dual of [755, 682, 35]-code) [i]
240Linear OA(2771, 755, F27, 33) (dual of [755, 684, 34]-code) [i]
241Linear OA(2769, 755, F27, 32) (dual of [755, 686, 33]-code) [i]
242Linear OA(2767, 755, F27, 31) (dual of [755, 688, 32]-code) [i]
243Linear OA(2765, 755, F27, 30) (dual of [755, 690, 31]-code) [i]
244Linear OA(2763, 755, F27, 29) (dual of [755, 692, 30]-code) [i]
245Linear OA(2762, 756, F27, 28) (dual of [756, 694, 29]-code) [i]
246Linear OA(27110, 203, F27, 63) (dual of [203, 93, 64]-code) [i]
247Linear OA(27110, 205, F27, 62) (dual of [205, 95, 63]-code) [i]