Information on Result #606381

Linear OA(258, 25, F25, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,25)), using Reed–Solomon code RS(17,25)

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(2594, 655, F25, 35) (dual of [655, 561, 36]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(2574, 79, F25, 66) (dual of [79, 5, 67]-code) [i]Juxtaposition
3Linear OA(539, 69, F5, 17) (dual of [69, 30, 18]-code) [i]Concatenation of Two Codes
4Linear OA(532, 48, F5, 17) (dual of [48, 16, 18]-code) [i]
5Linear OA(531, 45, F5, 17) (dual of [45, 14, 18]-code) [i]
6Linear OA(530, 42, F5, 17) (dual of [42, 12, 18]-code) [i]
7Linear OA(529, 39, F5, 17) (dual of [39, 10, 18]-code) [i]
8Linear OA(528, 36, F5, 17) (dual of [36, 8, 18]-code) [i]
9Linear OA(540, 48, F5, 26) (dual of [48, 8, 27]-code) [i]
10Linear OA(538, 44, F5, 26) (dual of [44, 6, 27]-code) [i]
11Linear OA(549, 55, F5, 35) (dual of [55, 6, 36]-code) [i]
12Linear OA(560, 66, F5, 44) (dual of [66, 6, 45]-code) [i]
13Linear OA(2511, 28, F25, 10) (dual of [28, 17, 11]-code) [i]✔Construction X with Reed–Solomon Codes
14Linear OA(259, 28, F25, 8) (dual of [28, 19, 9]-code) [i]✔
15Linear OA(2513, 30, F25, 11) (dual of [30, 17, 12]-code) [i]✔
16Linear OA(2510, 30, F25, 8) (dual of [30, 20, 9]-code) [i]✔
17Linear OA(25110, 142, F25, 92) (dual of [142, 32, 93]-code) [i]Construction X with Algebraic-Geometric Codes
18Linear OA(25109, 142, F25, 91) (dual of [142, 33, 92]-code) [i]
19Linear OA(25108, 142, F25, 90) (dual of [142, 34, 91]-code) [i]
20Linear OA(25107, 142, F25, 89) (dual of [142, 35, 90]-code) [i]
21Linear OA(25106, 142, F25, 88) (dual of [142, 36, 89]-code) [i]
22Linear OA(25105, 142, F25, 87) (dual of [142, 37, 88]-code) [i]
23Linear OA(25104, 142, F25, 86) (dual of [142, 38, 87]-code) [i]
24Linear OA(25103, 142, F25, 85) (dual of [142, 39, 86]-code) [i]
25Linear OA(25102, 142, F25, 84) (dual of [142, 40, 85]-code) [i]
26Linear OA(25101, 142, F25, 83) (dual of [142, 41, 84]-code) [i]
27Linear OA(25100, 142, F25, 82) (dual of [142, 42, 83]-code) [i]
28Linear OA(2599, 142, F25, 81) (dual of [142, 43, 82]-code) [i]
29Linear OA(2598, 142, F25, 80) (dual of [142, 44, 81]-code) [i]
30Linear OA(2597, 142, F25, 79) (dual of [142, 45, 80]-code) [i]
31Linear OA(2596, 142, F25, 78) (dual of [142, 46, 79]-code) [i]
32Linear OA(2595, 142, F25, 77) (dual of [142, 47, 78]-code) [i]
33Linear OA(2594, 142, F25, 76) (dual of [142, 48, 77]-code) [i]
34Linear OA(2593, 142, F25, 75) (dual of [142, 49, 76]-code) [i]
35Linear OA(2592, 142, F25, 74) (dual of [142, 50, 75]-code) [i]
36Linear OA(2591, 142, F25, 73) (dual of [142, 51, 74]-code) [i]
37Linear OA(2590, 142, F25, 72) (dual of [142, 52, 73]-code) [i]
38Linear OA(2589, 142, F25, 71) (dual of [142, 53, 72]-code) [i]
39Linear OA(2588, 142, F25, 70) (dual of [142, 54, 71]-code) [i]
40Linear OA(2587, 142, F25, 69) (dual of [142, 55, 70]-code) [i]
41Linear OA(2586, 142, F25, 68) (dual of [142, 56, 69]-code) [i]
42Linear OA(2585, 142, F25, 67) (dual of [142, 57, 68]-code) [i]
43Linear OA(2584, 142, F25, 66) (dual of [142, 58, 67]-code) [i]
44Linear OA(2583, 142, F25, 65) (dual of [142, 59, 66]-code) [i]
45Linear OA(2582, 142, F25, 64) (dual of [142, 60, 65]-code) [i]
46Linear OA(2581, 142, F25, 63) (dual of [142, 61, 64]-code) [i]
47Linear OA(2580, 142, F25, 62) (dual of [142, 62, 63]-code) [i]
48Linear OA(2579, 142, F25, 61) (dual of [142, 63, 62]-code) [i]
49Linear OA(2578, 142, F25, 60) (dual of [142, 64, 61]-code) [i]
50Linear OA(2577, 142, F25, 59) (dual of [142, 65, 60]-code) [i]
51Linear OA(2576, 142, F25, 58) (dual of [142, 66, 59]-code) [i]
52Linear OA(2575, 142, F25, 57) (dual of [142, 67, 58]-code) [i]
53Linear OA(2574, 142, F25, 56) (dual of [142, 68, 57]-code) [i]
54Linear OA(2573, 142, F25, 55) (dual of [142, 69, 56]-code) [i]
55Linear OA(2572, 142, F25, 54) (dual of [142, 70, 55]-code) [i]
56Linear OA(2571, 142, F25, 53) (dual of [142, 71, 54]-code) [i]
57Linear OA(2570, 142, F25, 52) (dual of [142, 72, 53]-code) [i]
58Linear OA(2569, 142, F25, 51) (dual of [142, 73, 52]-code) [i]
59Linear OA(2568, 142, F25, 50) (dual of [142, 74, 51]-code) [i]
60Linear OA(2567, 142, F25, 49) (dual of [142, 75, 50]-code) [i]
61Linear OA(2566, 142, F25, 48) (dual of [142, 76, 49]-code) [i]
62Linear OA(2565, 142, F25, 47) (dual of [142, 77, 48]-code) [i]
63Linear OA(2564, 142, F25, 46) (dual of [142, 78, 47]-code) [i]
64Linear OA(2563, 142, F25, 45) (dual of [142, 79, 46]-code) [i]
65Linear OA(2562, 142, F25, 44) (dual of [142, 80, 45]-code) [i]
66Linear OA(2561, 142, F25, 43) (dual of [142, 81, 44]-code) [i]
67Linear OA(2560, 142, F25, 42) (dual of [142, 82, 43]-code) [i]
68Linear OA(2559, 142, F25, 41) (dual of [142, 83, 42]-code) [i]
69Linear OA(2558, 142, F25, 40) (dual of [142, 84, 41]-code) [i]
70Linear OA(2557, 142, F25, 39) (dual of [142, 85, 40]-code) [i]
71Linear OA(2556, 142, F25, 38) (dual of [142, 86, 39]-code) [i]
72Linear OA(2555, 142, F25, 37) (dual of [142, 87, 38]-code) [i]
73Linear OA(2554, 142, F25, 36) (dual of [142, 88, 37]-code) [i]
74Linear OA(2553, 142, F25, 35) (dual of [142, 89, 36]-code) [i]
75Linear OA(2552, 142, F25, 34) (dual of [142, 90, 35]-code) [i]
76Linear OA(2551, 142, F25, 33) (dual of [142, 91, 34]-code) [i]
77Linear OA(2550, 142, F25, 32) (dual of [142, 92, 33]-code) [i]
78Linear OA(2549, 142, F25, 31) (dual of [142, 93, 32]-code) [i]
79Linear OA(2548, 142, F25, 30) (dual of [142, 94, 31]-code) [i]
80Linear OA(2547, 142, F25, 29) (dual of [142, 95, 30]-code) [i]
81Linear OA(2546, 142, F25, 28) (dual of [142, 96, 29]-code) [i]
82Linear OA(2545, 142, F25, 27) (dual of [142, 97, 28]-code) [i]
83Linear OA(2544, 142, F25, 26) (dual of [142, 98, 27]-code) [i]
84Linear OA(2543, 142, F25, 25) (dual of [142, 99, 26]-code) [i]
85Linear OA(2542, 142, F25, 24) (dual of [142, 100, 25]-code) [i]
86Linear OA(2541, 142, F25, 23) (dual of [142, 101, 24]-code) [i]
87Linear OA(25110, 216, F25, 77) (dual of [216, 106, 78]-code) [i]
88Linear OA(25109, 216, F25, 76) (dual of [216, 107, 77]-code) [i]
89Linear OA(25108, 216, F25, 75) (dual of [216, 108, 76]-code) [i]
90Linear OA(25107, 216, F25, 74) (dual of [216, 109, 75]-code) [i]
91Linear OA(25106, 216, F25, 73) (dual of [216, 110, 74]-code) [i]
92Linear OA(25105, 216, F25, 72) (dual of [216, 111, 73]-code) [i]
93Linear OA(25104, 216, F25, 71) (dual of [216, 112, 72]-code) [i]
94Linear OA(25103, 216, F25, 70) (dual of [216, 113, 71]-code) [i]
95Linear OA(25102, 216, F25, 69) (dual of [216, 114, 70]-code) [i]
96Linear OA(25101, 216, F25, 68) (dual of [216, 115, 69]-code) [i]
97Linear OA(25100, 216, F25, 67) (dual of [216, 116, 68]-code) [i]
98Linear OA(2599, 216, F25, 66) (dual of [216, 117, 67]-code) [i]
99Linear OA(2598, 216, F25, 65) (dual of [216, 118, 66]-code) [i]
100Linear OA(2597, 216, F25, 64) (dual of [216, 119, 65]-code) [i]
101Linear OA(2596, 216, F25, 63) (dual of [216, 120, 64]-code) [i]
102Linear OA(2595, 216, F25, 62) (dual of [216, 121, 63]-code) [i]
103Linear OA(2594, 216, F25, 61) (dual of [216, 122, 62]-code) [i]
104Linear OA(2593, 216, F25, 60) (dual of [216, 123, 61]-code) [i]
105Linear OA(2592, 216, F25, 59) (dual of [216, 124, 60]-code) [i]
106Linear OA(2591, 216, F25, 58) (dual of [216, 125, 59]-code) [i]
107Linear OA(2590, 216, F25, 57) (dual of [216, 126, 58]-code) [i]
108Linear OA(2589, 216, F25, 56) (dual of [216, 127, 57]-code) [i]
109Linear OA(2588, 216, F25, 55) (dual of [216, 128, 56]-code) [i]
110Linear OA(2587, 216, F25, 54) (dual of [216, 129, 55]-code) [i]
111Linear OA(2586, 216, F25, 53) (dual of [216, 130, 54]-code) [i]
112Linear OA(2585, 216, F25, 52) (dual of [216, 131, 53]-code) [i]
113Linear OA(2584, 216, F25, 51) (dual of [216, 132, 52]-code) [i]
114Linear OA(2583, 216, F25, 50) (dual of [216, 133, 51]-code) [i]
115Linear OA(2582, 216, F25, 49) (dual of [216, 134, 50]-code) [i]
116Linear OA(2581, 216, F25, 48) (dual of [216, 135, 49]-code) [i]
117Linear OA(2580, 216, F25, 47) (dual of [216, 136, 48]-code) [i]
118Linear OA(2579, 216, F25, 46) (dual of [216, 137, 47]-code) [i]
119Linear OA(2578, 216, F25, 45) (dual of [216, 138, 46]-code) [i]
120Linear OA(2577, 216, F25, 44) (dual of [216, 139, 45]-code) [i]
121Linear OA(2576, 216, F25, 43) (dual of [216, 140, 44]-code) [i]
122Linear OA(2575, 216, F25, 42) (dual of [216, 141, 43]-code) [i]
123Linear OA(2567, 645, F25, 26) (dual of [645, 578, 27]-code) [i](u, u−v, u+v+w)-Construction
124Linear OA(2568, 647, F25, 26) (dual of [647, 579, 27]-code) [i]
125Linear OA(2569, 649, F25, 26) (dual of [649, 580, 27]-code) [i]
126Linear OA(2591, 15645, F25, 26) (dual of [15645, 15554, 27]-code) [i]
127Linear OA(2592, 15647, F25, 26) (dual of [15647, 15555, 27]-code) [i]
128Linear OA(2593, 15649, F25, 26) (dual of [15649, 15556, 27]-code) [i]
129Linear OA(2565, 645, F25, 24) (dual of [645, 580, 25]-code) [i]
130Linear OA(2566, 647, F25, 24) (dual of [647, 581, 25]-code) [i]
131Linear OA(2588, 15645, F25, 24) (dual of [15645, 15557, 25]-code) [i]
132Linear OA(2589, 15647, F25, 24) (dual of [15647, 15558, 25]-code) [i]
133Linear OA(2560, 649, F25, 28) (dual of [649, 589, 29]-code) [i]Construction XX with Cyclic Codes
134Linear OA(2573, 673, F25, 30) (dual of [673, 600, 31]-code) [i]
135Linear OA(2562, 649, F25, 29) (dual of [649, 587, 30]-code) [i]
136Linear OA(2575, 673, F25, 31) (dual of [673, 598, 32]-code) [i]
137Linear OA(2578, 673, F25, 32) (dual of [673, 595, 33]-code) [i]
138Linear OA(2564, 649, F25, 30) (dual of [649, 585, 31]-code) [i]
139Linear OA(2577, 673, F25, 32) (dual of [673, 596, 33]-code) [i]
140Linear OA(2580, 673, F25, 33) (dual of [673, 593, 34]-code) [i]
141Linear OA(2566, 649, F25, 31) (dual of [649, 583, 32]-code) [i]
142Linear OA(2579, 673, F25, 33) (dual of [673, 594, 34]-code) [i]
143Linear OA(2568, 649, F25, 32) (dual of [649, 581, 33]-code) [i]
144Linear OA(2586, 678, F25, 35) (dual of [678, 592, 36]-code) [i]
145Linear OA(2570, 649, F25, 33) (dual of [649, 579, 34]-code) [i]
146Linear OA(2586, 680, F25, 35) (dual of [680, 594, 36]-code) [i]
147Linear OA(2585, 678, F25, 35) (dual of [678, 593, 36]-code) [i]
148Linear OA(2589, 680, F25, 36) (dual of [680, 591, 37]-code) [i]
149Linear OA(2588, 678, F25, 36) (dual of [678, 590, 37]-code) [i]
150Linear OA(2572, 649, F25, 34) (dual of [649, 577, 35]-code) [i]
151Linear OA(2583, 675, F25, 35) (dual of [675, 592, 36]-code) [i]
152Linear OA(2588, 680, F25, 36) (dual of [680, 592, 37]-code) [i]
153Linear OA(2587, 678, F25, 36) (dual of [678, 591, 37]-code) [i]
154Linear OA(2591, 680, F25, 37) (dual of [680, 589, 38]-code) [i]
155Linear OA(2590, 678, F25, 37) (dual of [678, 588, 38]-code) [i]
156Linear OA(2585, 675, F25, 36) (dual of [675, 590, 37]-code) [i]
157Linear OA(2590, 680, F25, 37) (dual of [680, 590, 38]-code) [i]
158Linear OA(2589, 678, F25, 37) (dual of [678, 589, 38]-code) [i]
159Linear OA(2593, 680, F25, 38) (dual of [680, 587, 39]-code) [i]
160Linear OA(2592, 678, F25, 38) (dual of [678, 586, 39]-code) [i]
161Linear OA(2577, 653, F25, 36) (dual of [653, 576, 37]-code) [i]
162Linear OA(2587, 675, F25, 37) (dual of [675, 588, 38]-code) [i]
163Linear OA(2592, 680, F25, 38) (dual of [680, 588, 39]-code) [i]
164Linear OA(2591, 678, F25, 38) (dual of [678, 587, 39]-code) [i]
165Linear OA(2595, 680, F25, 39) (dual of [680, 585, 40]-code) [i]
166Linear OA(2594, 678, F25, 39) (dual of [678, 584, 40]-code) [i]
167Linear OA(2580, 656, F25, 37) (dual of [656, 576, 38]-code) [i]
168Linear OA(2589, 675, F25, 38) (dual of [675, 586, 39]-code) [i]
169Linear OA(2594, 680, F25, 39) (dual of [680, 586, 40]-code) [i]
170Linear OA(2593, 678, F25, 39) (dual of [678, 585, 40]-code) [i]
171Linear OA(2597, 680, F25, 40) (dual of [680, 583, 41]-code) [i]
172Linear OA(2596, 678, F25, 40) (dual of [678, 582, 41]-code) [i]
173Linear OA(2583, 659, F25, 38) (dual of [659, 576, 39]-code) [i]
174Linear OA(2591, 675, F25, 39) (dual of [675, 584, 40]-code) [i]
175Linear OA(2596, 680, F25, 40) (dual of [680, 584, 41]-code) [i]
176Linear OA(2595, 678, F25, 40) (dual of [678, 583, 41]-code) [i]
177Linear OA(2599, 680, F25, 41) (dual of [680, 581, 42]-code) [i]
178Linear OA(2598, 678, F25, 41) (dual of [678, 580, 42]-code) [i]
179Linear OA(2586, 662, F25, 39) (dual of [662, 576, 40]-code) [i]
180Linear OA(2593, 675, F25, 40) (dual of [675, 582, 41]-code) [i]
181Linear OA(2598, 680, F25, 41) (dual of [680, 582, 42]-code) [i]
182Linear OA(2597, 678, F25, 41) (dual of [678, 581, 42]-code) [i]
183Linear OA(25101, 680, F25, 42) (dual of [680, 579, 43]-code) [i]
184Linear OA(25100, 678, F25, 42) (dual of [678, 578, 43]-code) [i]
185Linear OA(2589, 665, F25, 40) (dual of [665, 576, 41]-code) [i]
186Linear OA(2595, 675, F25, 41) (dual of [675, 580, 42]-code) [i]
187Linear OA(25100, 680, F25, 42) (dual of [680, 580, 43]-code) [i]
188Linear OA(2599, 678, F25, 42) (dual of [678, 579, 43]-code) [i]
189Linear OA(25103, 680, F25, 43) (dual of [680, 577, 44]-code) [i]
190Linear OA(2592, 668, F25, 41) (dual of [668, 576, 42]-code) [i]
191Linear OA(2597, 675, F25, 42) (dual of [675, 578, 43]-code) [i]
192Linear OA(25102, 680, F25, 43) (dual of [680, 578, 44]-code) [i]
193Linear OA(25101, 678, F25, 43) (dual of [678, 577, 44]-code) [i]
194Linear OA(2595, 671, F25, 42) (dual of [671, 576, 43]-code) [i]
195Linear OA(2598, 674, F25, 43) (dual of [674, 576, 44]-code) [i]
196Linear OA(2598, 674, F25, 43) (dual of [674, 576, 44]-code) [i]
197Linear OA(25102, 678, F25, 44) (dual of [678, 576, 45]-code) [i]
198Linear OA(25106, 680, F25, 45) (dual of [680, 574, 46]-code) [i]
199Linear OA(25105, 678, F25, 45) (dual of [678, 573, 46]-code) [i]
200Linear OA(25100, 675, F25, 44) (dual of [675, 575, 45]-code) [i]
201Linear OA(25105, 680, F25, 45) (dual of [680, 575, 46]-code) [i]
202Linear OA(25104, 678, F25, 45) (dual of [678, 574, 46]-code) [i]
203Linear OA(25103, 675, F25, 45) (dual of [675, 572, 46]-code) [i]
204Linear OA(25108, 680, F25, 46) (dual of [680, 572, 47]-code) [i]
205Linear OA(25107, 678, F25, 46) (dual of [678, 571, 47]-code) [i]
206Linear OA(25107, 647, F25, 54) (dual of [647, 540, 55]-code) [i]
207Linear OA(25109, 647, F25, 55) (dual of [647, 538, 56]-code) [i]
208Linear OA(25109, 646, F25, 55) (dual of [646, 537, 56]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
209Linear OA(25107, 646, F25, 54) (dual of [646, 539, 55]-code) [i]
210Linear OA(25105, 646, F25, 53) (dual of [646, 541, 54]-code) [i]
211Linear OA(25104, 647, F25, 52) (dual of [647, 543, 53]-code) [i]
212Linear OA(2570, 648, F25, 33) (dual of [648, 578, 34]-code) [i]
213Linear OA(2568, 648, F25, 32) (dual of [648, 580, 33]-code) [i]
214Linear OA(2566, 648, F25, 31) (dual of [648, 582, 32]-code) [i]
215Linear OA(2564, 648, F25, 30) (dual of [648, 584, 31]-code) [i]
216Linear OA(2562, 648, F25, 29) (dual of [648, 586, 30]-code) [i]
217Linear OA(2560, 648, F25, 28) (dual of [648, 588, 29]-code) [i]
218Linear OA(2558, 648, F25, 27) (dual of [648, 590, 28]-code) [i]
219Linear OA(2557, 649, F25, 26) (dual of [649, 592, 27]-code) [i]
220Linear OA(2574, 650, F25, 35) (dual of [650, 576, 36]-code) [i]