Information on Result #606860

Linear OA(279, 28, F27, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,27)), using extended Reed–Solomon code RSe(19,27)

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(2746, 758, F27, 19) (dual of [758, 712, 20]-code) [i](u, u+v)-Construction
2Linear OA(2764, 19712, F27, 19) (dual of [19712, 19648, 20]-code) [i]
3Linear OA(2782, 531470, F27, 19) (dual of [531470, 531388, 20]-code) [i]
4Linear OA(2744, 757, F27, 18) (dual of [757, 713, 19]-code) [i]
5Linear OA(2761, 19711, F27, 18) (dual of [19711, 19650, 19]-code) [i]
6Linear OA(2778, 531469, F27, 18) (dual of [531469, 531391, 19]-code) [i]
7Linear OA(2746, 760, F27, 19) (dual of [760, 714, 20]-code) [i]
8Linear OA(2744, 760, F27, 18) (dual of [760, 716, 19]-code) [i]
9Linear OA(2723, 756, F27, 9) (dual of [756, 733, 10]-code) [i]Generalized (u, u+v)-Construction
10Linear OA(2777, 785, F27, 29) (dual of [785, 708, 30]-code) [i](u, u−v, u+v+w)-Construction
11Linear OA(2778, 795, F27, 29) (dual of [795, 717, 30]-code) [i]
12Linear OA(27105, 19739, F27, 29) (dual of [19739, 19634, 30]-code) [i]
13Linear OA(27106, 19749, F27, 29) (dual of [19749, 19643, 30]-code) [i]
14Linear OA(2776, 785, F27, 28) (dual of [785, 709, 29]-code) [i]
15Linear OA(2777, 795, F27, 28) (dual of [795, 718, 29]-code) [i]
16Linear OA(27102, 19739, F27, 28) (dual of [19739, 19637, 29]-code) [i]
17Linear OA(27103, 19749, F27, 28) (dual of [19749, 19646, 29]-code) [i]
18Linear OA(2774, 784, F27, 27) (dual of [784, 710, 28]-code) [i]
19Linear OA(2775, 794, F27, 27) (dual of [794, 719, 28]-code) [i]
20Linear OA(27100, 19738, F27, 27) (dual of [19738, 19638, 28]-code) [i]
21Linear OA(27101, 19748, F27, 27) (dual of [19748, 19647, 28]-code) [i]
22Linear OA(2752, 786, F27, 19) (dual of [786, 734, 20]-code) [i]
23Linear OA(2770, 19740, F27, 19) (dual of [19740, 19670, 20]-code) [i]
24Linear OA(2788, 531498, F27, 19) (dual of [531498, 531410, 20]-code) [i]
25Linear OA(2750, 785, F27, 18) (dual of [785, 735, 19]-code) [i]
26Linear OA(2767, 19739, F27, 18) (dual of [19739, 19672, 19]-code) [i]
27Linear OA(2784, 531497, F27, 18) (dual of [531497, 531413, 19]-code) [i]
28Linear OA(27110, 758, F27, 51) (dual of [758, 648, 52]-code) [i]Construction X with Cyclic Codes
29Linear OA(27106, 758, F27, 49) (dual of [758, 652, 50]-code) [i]
30Linear OA(27102, 758, F27, 47) (dual of [758, 656, 48]-code) [i]
31Linear OA(2798, 758, F27, 45) (dual of [758, 660, 46]-code) [i]
32Linear OA(2794, 758, F27, 43) (dual of [758, 664, 44]-code) [i]
33Linear OA(2790, 758, F27, 41) (dual of [758, 668, 42]-code) [i]
34Linear OA(2786, 758, F27, 39) (dual of [758, 672, 40]-code) [i]
35Linear OA(2782, 758, F27, 37) (dual of [758, 676, 38]-code) [i]
36Linear OA(2778, 758, F27, 35) (dual of [758, 680, 36]-code) [i]
37Linear OA(2774, 758, F27, 33) (dual of [758, 684, 34]-code) [i]
38Linear OA(2770, 758, F27, 31) (dual of [758, 688, 32]-code) [i]
39Linear OA(2766, 758, F27, 29) (dual of [758, 692, 30]-code) [i]
40Linear OA(2762, 758, F27, 27) (dual of [758, 696, 28]-code) [i]
41Linear OA(2758, 758, F27, 25) (dual of [758, 700, 26]-code) [i]
42Linear OA(2754, 758, F27, 23) (dual of [758, 704, 24]-code) [i]
43Linear OA(2750, 758, F27, 21) (dual of [758, 708, 22]-code) [i]
44Linear OA(2744, 758, F27, 18) (dual of [758, 714, 19]-code) [i]Construction XX with Cyclic Codes
45Linear OA(2749, 760, F27, 20) (dual of [760, 711, 21]-code) [i]
46Linear OA(2749, 761, F27, 20) (dual of [761, 712, 21]-code) [i]
47Linear OA(2748, 758, F27, 20) (dual of [758, 710, 21]-code) [i]
48Linear OA(2751, 761, F27, 21) (dual of [761, 710, 22]-code) [i]
49Linear OA(2754, 763, F27, 22) (dual of [763, 709, 23]-code) [i]
50Linear OA(2754, 764, F27, 22) (dual of [764, 710, 23]-code) [i]
51Linear OA(2753, 760, F27, 22) (dual of [760, 707, 23]-code) [i]
52Linear OA(2753, 761, F27, 22) (dual of [761, 708, 23]-code) [i]
53Linear OA(2752, 758, F27, 22) (dual of [758, 706, 23]-code) [i]
54Linear OA(2756, 763, F27, 23) (dual of [763, 707, 24]-code) [i]
55Linear OA(2756, 764, F27, 23) (dual of [764, 708, 24]-code) [i]
56Linear OA(2755, 761, F27, 23) (dual of [761, 706, 24]-code) [i]
57Linear OA(2760, 769, F27, 24) (dual of [769, 709, 25]-code) [i]
58Linear OA(2760, 770, F27, 24) (dual of [770, 710, 25]-code) [i]
59Linear OA(2759, 766, F27, 24) (dual of [766, 707, 25]-code) [i]
60Linear OA(2759, 767, F27, 24) (dual of [767, 708, 25]-code) [i]
61Linear OA(2758, 763, F27, 24) (dual of [763, 705, 25]-code) [i]
62Linear OA(2758, 764, F27, 24) (dual of [764, 706, 25]-code) [i]
63Linear OA(2757, 760, F27, 24) (dual of [760, 703, 25]-code) [i]
64Linear OA(2757, 761, F27, 24) (dual of [761, 704, 25]-code) [i]
65Linear OA(2756, 758, F27, 24) (dual of [758, 702, 25]-code) [i]
66Linear OA(2762, 769, F27, 25) (dual of [769, 707, 26]-code) [i]
67Linear OA(2762, 770, F27, 25) (dual of [770, 708, 26]-code) [i]
68Linear OA(2761, 767, F27, 25) (dual of [767, 706, 26]-code) [i]
69Linear OA(2760, 763, F27, 25) (dual of [763, 703, 26]-code) [i]
70Linear OA(2760, 764, F27, 25) (dual of [764, 704, 26]-code) [i]
71Linear OA(2759, 761, F27, 25) (dual of [761, 702, 26]-code) [i]
72Linear OA(2765, 772, F27, 26) (dual of [772, 707, 27]-code) [i]
73Linear OA(2765, 773, F27, 26) (dual of [773, 708, 27]-code) [i]
74Linear OA(2764, 769, F27, 26) (dual of [769, 705, 27]-code) [i]
75Linear OA(2764, 770, F27, 26) (dual of [770, 706, 27]-code) [i]
76Linear OA(2763, 766, F27, 26) (dual of [766, 703, 27]-code) [i]
77Linear OA(2763, 767, F27, 26) (dual of [767, 704, 27]-code) [i]
78Linear OA(2762, 763, F27, 26) (dual of [763, 701, 27]-code) [i]
79Linear OA(2762, 764, F27, 26) (dual of [764, 702, 27]-code) [i]
80Linear OA(2761, 760, F27, 26) (dual of [760, 699, 27]-code) [i]
81Linear OA(2761, 761, F27, 26) (dual of [761, 700, 27]-code) [i]
82Linear OA(2760, 758, F27, 26) (dual of [758, 698, 27]-code) [i]
83Linear OA(2766, 770, F27, 27) (dual of [770, 704, 28]-code) [i]
84Linear OA(2765, 767, F27, 27) (dual of [767, 702, 28]-code) [i]
85Linear OA(2764, 764, F27, 27) (dual of [764, 700, 28]-code) [i]
86Linear OA(2763, 761, F27, 27) (dual of [761, 698, 28]-code) [i]
87Linear OA(2793, 784, F27, 38) (dual of [784, 691, 39]-code) [i]
88Linear OA(2793, 786, F27, 38) (dual of [786, 693, 39]-code) [i]
89Linear OA(2792, 784, F27, 38) (dual of [784, 692, 39]-code) [i]
90Linear OA(2795, 784, F27, 39) (dual of [784, 689, 40]-code) [i]
91Linear OA(2792, 786, F27, 38) (dual of [786, 694, 39]-code) [i]
92Linear OA(2791, 784, F27, 38) (dual of [784, 693, 39]-code) [i]
93Linear OA(2795, 786, F27, 39) (dual of [786, 691, 40]-code) [i]
94Linear OA(2794, 784, F27, 39) (dual of [784, 690, 40]-code) [i]
95Linear OA(2797, 784, F27, 40) (dual of [784, 687, 41]-code) [i]
96Linear OA(2794, 786, F27, 39) (dual of [786, 692, 40]-code) [i]
97Linear OA(2793, 784, F27, 39) (dual of [784, 691, 40]-code) [i]
98Linear OA(2797, 786, F27, 40) (dual of [786, 689, 41]-code) [i]
99Linear OA(2796, 784, F27, 40) (dual of [784, 688, 41]-code) [i]
100Linear OA(2799, 784, F27, 41) (dual of [784, 685, 42]-code) [i]
101Linear OA(2784, 760, F27, 39) (dual of [760, 676, 40]-code) [i]
102Linear OA(2783, 758, F27, 39) (dual of [758, 675, 40]-code) [i]
103Linear OA(2796, 786, F27, 40) (dual of [786, 690, 41]-code) [i]
104Linear OA(2795, 784, F27, 40) (dual of [784, 689, 41]-code) [i]
105Linear OA(2799, 786, F27, 41) (dual of [786, 687, 42]-code) [i]
106Linear OA(2798, 784, F27, 41) (dual of [784, 686, 42]-code) [i]
107Linear OA(27101, 784, F27, 42) (dual of [784, 683, 43]-code) [i]
108Linear OA(2786, 760, F27, 40) (dual of [760, 674, 41]-code) [i]
109Linear OA(2785, 758, F27, 40) (dual of [758, 673, 41]-code) [i]
110Linear OA(2787, 763, F27, 40) (dual of [763, 676, 41]-code) [i]
111Linear OA(2786, 761, F27, 40) (dual of [761, 675, 41]-code) [i]
112Linear OA(2798, 786, F27, 41) (dual of [786, 688, 42]-code) [i]
113Linear OA(2797, 784, F27, 41) (dual of [784, 687, 42]-code) [i]
114Linear OA(27101, 786, F27, 42) (dual of [786, 685, 43]-code) [i]
115Linear OA(27100, 784, F27, 42) (dual of [784, 684, 43]-code) [i]
116Linear OA(27103, 784, F27, 43) (dual of [784, 681, 44]-code) [i]
117Linear OA(2789, 763, F27, 41) (dual of [763, 674, 42]-code) [i]
118Linear OA(2788, 761, F27, 41) (dual of [761, 673, 42]-code) [i]
119Linear OA(2787, 758, F27, 41) (dual of [758, 671, 42]-code) [i]
120Linear OA(2790, 766, F27, 41) (dual of [766, 676, 42]-code) [i]
121Linear OA(2789, 764, F27, 41) (dual of [764, 675, 42]-code) [i]
122Linear OA(27100, 786, F27, 42) (dual of [786, 686, 43]-code) [i]
123Linear OA(2799, 784, F27, 42) (dual of [784, 685, 43]-code) [i]
124Linear OA(27103, 786, F27, 43) (dual of [786, 683, 44]-code) [i]
125Linear OA(27102, 784, F27, 43) (dual of [784, 682, 44]-code) [i]
126Linear OA(27105, 784, F27, 44) (dual of [784, 679, 45]-code) [i]
127Linear OA(2792, 766, F27, 42) (dual of [766, 674, 43]-code) [i]
128Linear OA(2791, 764, F27, 42) (dual of [764, 673, 43]-code) [i]
129Linear OA(2790, 761, F27, 42) (dual of [761, 671, 43]-code) [i]
130Linear OA(2789, 758, F27, 42) (dual of [758, 669, 43]-code) [i]
131Linear OA(2793, 769, F27, 42) (dual of [769, 676, 43]-code) [i]
132Linear OA(2792, 767, F27, 42) (dual of [767, 675, 43]-code) [i]
133Linear OA(27102, 786, F27, 43) (dual of [786, 684, 44]-code) [i]
134Linear OA(27101, 784, F27, 43) (dual of [784, 683, 44]-code) [i]
135Linear OA(27105, 786, F27, 44) (dual of [786, 681, 45]-code) [i]
136Linear OA(27104, 784, F27, 44) (dual of [784, 680, 45]-code) [i]
137Linear OA(27107, 784, F27, 45) (dual of [784, 677, 46]-code) [i]
138Linear OA(2795, 769, F27, 43) (dual of [769, 674, 44]-code) [i]
139Linear OA(2794, 767, F27, 43) (dual of [767, 673, 44]-code) [i]
140Linear OA(2793, 764, F27, 43) (dual of [764, 671, 44]-code) [i]
141Linear OA(2792, 761, F27, 43) (dual of [761, 669, 44]-code) [i]
142Linear OA(2791, 758, F27, 43) (dual of [758, 667, 44]-code) [i]
143Linear OA(2796, 772, F27, 43) (dual of [772, 676, 44]-code) [i]
144Linear OA(2795, 770, F27, 43) (dual of [770, 675, 44]-code) [i]
145Linear OA(27104, 786, F27, 44) (dual of [786, 682, 45]-code) [i]
146Linear OA(27103, 784, F27, 44) (dual of [784, 681, 45]-code) [i]
147Linear OA(27107, 786, F27, 45) (dual of [786, 679, 46]-code) [i]
148Linear OA(27106, 784, F27, 45) (dual of [784, 678, 46]-code) [i]
149Linear OA(2798, 772, F27, 44) (dual of [772, 674, 45]-code) [i]
150Linear OA(2797, 770, F27, 44) (dual of [770, 673, 45]-code) [i]
151Linear OA(2796, 767, F27, 44) (dual of [767, 671, 45]-code) [i]
152Linear OA(2795, 764, F27, 44) (dual of [764, 669, 45]-code) [i]
153Linear OA(2794, 761, F27, 44) (dual of [761, 667, 45]-code) [i]
154Linear OA(2793, 758, F27, 44) (dual of [758, 665, 45]-code) [i]
155Linear OA(2799, 775, F27, 44) (dual of [775, 676, 45]-code) [i]
156Linear OA(2798, 773, F27, 44) (dual of [773, 675, 45]-code) [i]
157Linear OA(27106, 786, F27, 45) (dual of [786, 680, 46]-code) [i]
158Linear OA(27105, 784, F27, 45) (dual of [784, 679, 46]-code) [i]
159Linear OA(27109, 786, F27, 46) (dual of [786, 677, 47]-code) [i]
160Linear OA(27108, 784, F27, 46) (dual of [784, 676, 47]-code) [i]
161Linear OA(27101, 775, F27, 45) (dual of [775, 674, 46]-code) [i]
162Linear OA(27100, 773, F27, 45) (dual of [773, 673, 46]-code) [i]
163Linear OA(2799, 770, F27, 45) (dual of [770, 671, 46]-code) [i]
164Linear OA(2798, 767, F27, 45) (dual of [767, 669, 46]-code) [i]
165Linear OA(2797, 764, F27, 45) (dual of [764, 667, 46]-code) [i]
166Linear OA(2796, 761, F27, 45) (dual of [761, 665, 46]-code) [i]
167Linear OA(2795, 758, F27, 45) (dual of [758, 663, 46]-code) [i]
168Linear OA(27102, 778, F27, 45) (dual of [778, 676, 46]-code) [i]
169Linear OA(27101, 776, F27, 45) (dual of [776, 675, 46]-code) [i]
170Linear OA(27108, 786, F27, 46) (dual of [786, 678, 47]-code) [i]
171Linear OA(27107, 784, F27, 46) (dual of [784, 677, 47]-code) [i]
172Linear OA(27110, 784, F27, 47) (dual of [784, 674, 48]-code) [i]
173Linear OA(27104, 778, F27, 46) (dual of [778, 674, 47]-code) [i]
174Linear OA(27103, 776, F27, 46) (dual of [776, 673, 47]-code) [i]
175Linear OA(27102, 773, F27, 46) (dual of [773, 671, 47]-code) [i]
176Linear OA(27101, 770, F27, 46) (dual of [770, 669, 47]-code) [i]
177Linear OA(27100, 767, F27, 46) (dual of [767, 667, 47]-code) [i]
178Linear OA(2799, 764, F27, 46) (dual of [764, 665, 47]-code) [i]
179Linear OA(2798, 761, F27, 46) (dual of [761, 663, 47]-code) [i]
180Linear OA(2797, 758, F27, 46) (dual of [758, 661, 47]-code) [i]
181Linear OA(27105, 781, F27, 46) (dual of [781, 676, 47]-code) [i]
182Linear OA(27104, 779, F27, 46) (dual of [779, 675, 47]-code) [i]
183Linear OA(27107, 781, F27, 47) (dual of [781, 674, 48]-code) [i]
184Linear OA(27106, 779, F27, 47) (dual of [779, 673, 48]-code) [i]
185Linear OA(27105, 776, F27, 47) (dual of [776, 671, 48]-code) [i]
186Linear OA(27104, 773, F27, 47) (dual of [773, 669, 48]-code) [i]
187Linear OA(27103, 770, F27, 47) (dual of [770, 667, 48]-code) [i]
188Linear OA(27102, 767, F27, 47) (dual of [767, 665, 48]-code) [i]
189Linear OA(27101, 764, F27, 47) (dual of [764, 663, 48]-code) [i]
190Linear OA(27100, 761, F27, 47) (dual of [761, 661, 48]-code) [i]
191Linear OA(2799, 758, F27, 47) (dual of [758, 659, 48]-code) [i]
192Linear OA(27108, 784, F27, 47) (dual of [784, 676, 48]-code) [i]
193Linear OA(27108, 784, F27, 47) (dual of [784, 676, 48]-code) [i]
194Linear OA(27107, 782, F27, 47) (dual of [782, 675, 48]-code) [i]
195Linear OA(27110, 784, F27, 48) (dual of [784, 674, 49]-code) [i]
196Linear OA(27110, 784, F27, 48) (dual of [784, 674, 49]-code) [i]
197Linear OA(27109, 782, F27, 48) (dual of [782, 673, 49]-code) [i]
198Linear OA(27108, 779, F27, 48) (dual of [779, 671, 49]-code) [i]
199Linear OA(27107, 776, F27, 48) (dual of [776, 669, 49]-code) [i]
200Linear OA(27106, 773, F27, 48) (dual of [773, 667, 49]-code) [i]
201Linear OA(27105, 770, F27, 48) (dual of [770, 665, 49]-code) [i]
202Linear OA(27104, 767, F27, 48) (dual of [767, 663, 49]-code) [i]
203Linear OA(27103, 764, F27, 48) (dual of [764, 661, 49]-code) [i]
204Linear OA(27102, 761, F27, 48) (dual of [761, 659, 49]-code) [i]
205Linear OA(27101, 758, F27, 48) (dual of [758, 657, 49]-code) [i]
206Linear OA(27110, 779, F27, 49) (dual of [779, 669, 50]-code) [i]
207Linear OA(27109, 776, F27, 49) (dual of [776, 667, 50]-code) [i]
208Linear OA(27108, 773, F27, 49) (dual of [773, 665, 50]-code) [i]
209Linear OA(27107, 770, F27, 49) (dual of [770, 663, 50]-code) [i]
210Linear OA(27106, 767, F27, 49) (dual of [767, 661, 50]-code) [i]
211Linear OA(27105, 764, F27, 49) (dual of [764, 659, 50]-code) [i]
212Linear OA(27104, 761, F27, 49) (dual of [761, 657, 50]-code) [i]
213Linear OA(27103, 758, F27, 49) (dual of [758, 655, 50]-code) [i]
214Linear OA(27110, 773, F27, 50) (dual of [773, 663, 51]-code) [i]
215Linear OA(27109, 770, F27, 50) (dual of [770, 661, 51]-code) [i]
216Linear OA(27108, 767, F27, 50) (dual of [767, 659, 51]-code) [i]
217Linear OA(27107, 764, F27, 50) (dual of [764, 657, 51]-code) [i]
218Linear OA(27106, 761, F27, 50) (dual of [761, 655, 51]-code) [i]
219Linear OA(27105, 758, F27, 50) (dual of [758, 653, 51]-code) [i]
220Linear OA(27110, 767, F27, 51) (dual of [767, 657, 52]-code) [i]
221Linear OA(27109, 764, F27, 51) (dual of [764, 655, 52]-code) [i]
222Linear OA(27108, 761, F27, 51) (dual of [761, 653, 52]-code) [i]
223Linear OA(27107, 758, F27, 51) (dual of [758, 651, 52]-code) [i]
224Linear OA(27110, 761, F27, 52) (dual of [761, 651, 53]-code) [i]
225Linear OA(27109, 758, F27, 52) (dual of [758, 649, 53]-code) [i]
226Linear OA(27109, 757, F27, 52) (dual of [757, 648, 53]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
227Linear OA(27107, 757, F27, 51) (dual of [757, 650, 52]-code) [i]
228Linear OA(27105, 757, F27, 50) (dual of [757, 652, 51]-code) [i]
229Linear OA(27103, 757, F27, 49) (dual of [757, 654, 50]-code) [i]
230Linear OA(27101, 757, F27, 48) (dual of [757, 656, 49]-code) [i]
231Linear OA(2799, 757, F27, 47) (dual of [757, 658, 48]-code) [i]
232Linear OA(2797, 757, F27, 46) (dual of [757, 660, 47]-code) [i]
233Linear OA(2795, 757, F27, 45) (dual of [757, 662, 46]-code) [i]
234Linear OA(2793, 757, F27, 44) (dual of [757, 664, 45]-code) [i]
235Linear OA(2791, 757, F27, 43) (dual of [757, 666, 44]-code) [i]
236Linear OA(2789, 757, F27, 42) (dual of [757, 668, 43]-code) [i]
237Linear OA(2787, 757, F27, 41) (dual of [757, 670, 42]-code) [i]
238Linear OA(2785, 757, F27, 40) (dual of [757, 672, 41]-code) [i]
239Linear OA(2783, 757, F27, 39) (dual of [757, 674, 40]-code) [i]
240Linear OA(2781, 757, F27, 38) (dual of [757, 676, 39]-code) [i]
241Linear OA(2760, 757, F27, 26) (dual of [757, 697, 27]-code) [i]
242Linear OA(2756, 757, F27, 24) (dual of [757, 701, 25]-code) [i]
243Linear OA(2752, 757, F27, 22) (dual of [757, 705, 23]-code) [i]
244Linear OA(2748, 757, F27, 20) (dual of [757, 709, 21]-code) [i]
245Linear OA(2763, 758, F27, 28) (dual of [758, 695, 29]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes