Information on Result #657175

Linear OA(2511, 29, F25, 10) (dual of [29, 18, 11]-code), using construction X applied to AG(FQ+6P) ⊂ AG(FQ+7P) based on
  1. linear OA(2510, 26, F25, 10) (dual of [26, 16, 11]-code or 26-arc in PG(9,25)), using algebraic-geometric code AG(FQ+6P) with degQ = 3 and degP = 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
  2. linear OA(258, 26, F25, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,25)), using algebraic-geometric code AG(FQ+7P) with degQ = 3 and degP = 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
  3. linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using

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(522, 58, F5, 10) (dual of [58, 36, 11]-code) [i]Trace Code
2Linear OA(2552, 655, F25, 21) (dual of [655, 603, 22]-code) [i](u, u+v)-Construction
3Linear OA(2572, 15655, F25, 21) (dual of [15655, 15583, 22]-code) [i]
4Linear OA(2592, 390655, F25, 21) (dual of [390655, 390563, 22]-code) [i]
5Linear OA(2550, 654, F25, 20) (dual of [654, 604, 21]-code) [i]
6Linear OA(2569, 15654, F25, 20) (dual of [15654, 15585, 21]-code) [i]
7Linear OA(2588, 390654, F25, 20) (dual of [390654, 390566, 21]-code) [i]
8Linear OA(2583, 683, F25, 30) (dual of [683, 600, 31]-code) [i](u, u−v, u+v+w)-Construction
9Linear OA(2559, 681, F25, 21) (dual of [681, 622, 22]-code) [i]
10Linear OA(2579, 15681, F25, 21) (dual of [15681, 15602, 22]-code) [i]
11Linear OA(2580, 15684, F25, 21) (dual of [15684, 15604, 22]-code) [i]
12Linear OA(2599, 390681, F25, 21) (dual of [390681, 390582, 22]-code) [i]
13Linear OA(25100, 390684, F25, 21) (dual of [390684, 390584, 22]-code) [i]
14Linear OA(2556, 680, F25, 20) (dual of [680, 624, 21]-code) [i]
15Linear OA(2575, 15680, F25, 20) (dual of [15680, 15605, 21]-code) [i]
16Linear OA(2576, 15683, F25, 20) (dual of [15683, 15607, 21]-code) [i]
17Linear OA(2594, 390680, F25, 20) (dual of [390680, 390586, 21]-code) [i]
18Linear OA(2595, 390683, F25, 20) (dual of [390683, 390588, 21]-code) [i]
19Linear OA(25108, 655, F25, 50) (dual of [655, 547, 51]-code) [i]Construction X with Cyclic Codes
20Linear OA(2564, 657, F25, 28) (dual of [657, 593, 29]-code) [i]Construction XX with Cyclic Codes
21Linear OA(2563, 655, F25, 28) (dual of [655, 592, 29]-code) [i]
22Linear OA(2566, 657, F25, 29) (dual of [657, 591, 30]-code) [i]
23Linear OA(2565, 655, F25, 29) (dual of [655, 590, 30]-code) [i]
24Linear OA(2567, 660, F25, 29) (dual of [660, 593, 30]-code) [i]
25Linear OA(2566, 658, F25, 29) (dual of [658, 592, 30]-code) [i]
26Linear OA(2568, 657, F25, 30) (dual of [657, 589, 31]-code) [i]
27Linear OA(2567, 655, F25, 30) (dual of [655, 588, 31]-code) [i]
28Linear OA(2569, 660, F25, 30) (dual of [660, 591, 31]-code) [i]
29Linear OA(2568, 658, F25, 30) (dual of [658, 590, 31]-code) [i]
30Linear OA(2570, 663, F25, 30) (dual of [663, 593, 31]-code) [i]
31Linear OA(2569, 661, F25, 30) (dual of [661, 592, 31]-code) [i]
32Linear OA(2570, 657, F25, 31) (dual of [657, 587, 32]-code) [i]
33Linear OA(2569, 655, F25, 31) (dual of [655, 586, 32]-code) [i]
34Linear OA(2571, 660, F25, 31) (dual of [660, 589, 32]-code) [i]
35Linear OA(2570, 658, F25, 31) (dual of [658, 588, 32]-code) [i]
36Linear OA(2572, 663, F25, 31) (dual of [663, 591, 32]-code) [i]
37Linear OA(2571, 661, F25, 31) (dual of [661, 590, 32]-code) [i]
38Linear OA(2573, 666, F25, 31) (dual of [666, 593, 32]-code) [i]
39Linear OA(2572, 664, F25, 31) (dual of [664, 592, 32]-code) [i]
40Linear OA(2572, 657, F25, 32) (dual of [657, 585, 33]-code) [i]
41Linear OA(2571, 655, F25, 32) (dual of [655, 584, 33]-code) [i]
42Linear OA(2573, 660, F25, 32) (dual of [660, 587, 33]-code) [i]
43Linear OA(2572, 658, F25, 32) (dual of [658, 586, 33]-code) [i]
44Linear OA(2574, 663, F25, 32) (dual of [663, 589, 33]-code) [i]
45Linear OA(2573, 661, F25, 32) (dual of [661, 588, 33]-code) [i]
46Linear OA(2575, 666, F25, 32) (dual of [666, 591, 33]-code) [i]
47Linear OA(2574, 664, F25, 32) (dual of [664, 590, 33]-code) [i]
48Linear OA(2576, 669, F25, 32) (dual of [669, 593, 33]-code) [i]
49Linear OA(2575, 667, F25, 32) (dual of [667, 592, 33]-code) [i]
50Linear OA(2574, 657, F25, 33) (dual of [657, 583, 34]-code) [i]
51Linear OA(2573, 655, F25, 33) (dual of [655, 582, 34]-code) [i]
52Linear OA(2575, 660, F25, 33) (dual of [660, 585, 34]-code) [i]
53Linear OA(2574, 658, F25, 33) (dual of [658, 584, 34]-code) [i]
54Linear OA(2576, 663, F25, 33) (dual of [663, 587, 34]-code) [i]
55Linear OA(2575, 661, F25, 33) (dual of [661, 586, 34]-code) [i]
56Linear OA(2577, 666, F25, 33) (dual of [666, 589, 34]-code) [i]
57Linear OA(2576, 664, F25, 33) (dual of [664, 588, 34]-code) [i]
58Linear OA(2578, 669, F25, 33) (dual of [669, 591, 34]-code) [i]
59Linear OA(2577, 667, F25, 33) (dual of [667, 590, 34]-code) [i]
60Linear OA(2579, 672, F25, 33) (dual of [672, 593, 34]-code) [i]
61Linear OA(2578, 670, F25, 33) (dual of [670, 592, 34]-code) [i]
62Linear OA(2584, 679, F25, 34) (dual of [679, 595, 35]-code) [i]
63Linear OA(2576, 657, F25, 34) (dual of [657, 581, 35]-code) [i]
64Linear OA(2575, 655, F25, 34) (dual of [655, 580, 35]-code) [i]
65Linear OA(2577, 660, F25, 34) (dual of [660, 583, 35]-code) [i]
66Linear OA(2576, 658, F25, 34) (dual of [658, 582, 35]-code) [i]
67Linear OA(2578, 663, F25, 34) (dual of [663, 585, 35]-code) [i]
68Linear OA(2577, 661, F25, 34) (dual of [661, 584, 35]-code) [i]
69Linear OA(2579, 666, F25, 34) (dual of [666, 587, 35]-code) [i]
70Linear OA(2578, 664, F25, 34) (dual of [664, 586, 35]-code) [i]
71Linear OA(2580, 669, F25, 34) (dual of [669, 589, 35]-code) [i]
72Linear OA(2579, 667, F25, 34) (dual of [667, 588, 35]-code) [i]
73Linear OA(2581, 672, F25, 34) (dual of [672, 591, 35]-code) [i]
74Linear OA(2580, 670, F25, 34) (dual of [670, 590, 35]-code) [i]
75Linear OA(2582, 675, F25, 34) (dual of [675, 593, 35]-code) [i]
76Linear OA(2581, 673, F25, 34) (dual of [673, 592, 35]-code) [i]
77Linear OA(2586, 679, F25, 35) (dual of [679, 593, 36]-code) [i]
78Linear OA(2578, 657, F25, 35) (dual of [657, 579, 36]-code) [i]
79Linear OA(2577, 655, F25, 35) (dual of [655, 578, 36]-code) [i]
80Linear OA(2579, 660, F25, 35) (dual of [660, 581, 36]-code) [i]
81Linear OA(2578, 658, F25, 35) (dual of [658, 580, 36]-code) [i]
82Linear OA(2580, 663, F25, 35) (dual of [663, 583, 36]-code) [i]
83Linear OA(2579, 661, F25, 35) (dual of [661, 582, 36]-code) [i]
84Linear OA(2581, 666, F25, 35) (dual of [666, 585, 36]-code) [i]
85Linear OA(2580, 664, F25, 35) (dual of [664, 584, 36]-code) [i]
86Linear OA(2582, 669, F25, 35) (dual of [669, 587, 36]-code) [i]
87Linear OA(2581, 667, F25, 35) (dual of [667, 586, 36]-code) [i]
88Linear OA(2583, 672, F25, 35) (dual of [672, 589, 36]-code) [i]
89Linear OA(2582, 670, F25, 35) (dual of [670, 588, 36]-code) [i]
90Linear OA(2584, 675, F25, 35) (dual of [675, 591, 36]-code) [i]
91Linear OA(2583, 673, F25, 35) (dual of [673, 590, 36]-code) [i]
92Linear OA(2585, 678, F25, 35) (dual of [678, 593, 36]-code) [i]
93Linear OA(2584, 676, F25, 35) (dual of [676, 592, 36]-code) [i]
94Linear OA(2580, 657, F25, 36) (dual of [657, 577, 37]-code) [i]
95Linear OA(2581, 660, F25, 36) (dual of [660, 579, 37]-code) [i]
96Linear OA(2580, 658, F25, 36) (dual of [658, 578, 37]-code) [i]
97Linear OA(2582, 663, F25, 36) (dual of [663, 581, 37]-code) [i]
98Linear OA(2581, 661, F25, 36) (dual of [661, 580, 37]-code) [i]
99Linear OA(2583, 666, F25, 36) (dual of [666, 583, 37]-code) [i]
100Linear OA(2582, 664, F25, 36) (dual of [664, 582, 37]-code) [i]
101Linear OA(2584, 669, F25, 36) (dual of [669, 585, 37]-code) [i]
102Linear OA(2583, 667, F25, 36) (dual of [667, 584, 37]-code) [i]
103Linear OA(2585, 672, F25, 36) (dual of [672, 587, 37]-code) [i]
104Linear OA(2584, 670, F25, 36) (dual of [670, 586, 37]-code) [i]
105Linear OA(2586, 675, F25, 36) (dual of [675, 589, 37]-code) [i]
106Linear OA(2585, 673, F25, 36) (dual of [673, 588, 37]-code) [i]
107Linear OA(2587, 678, F25, 36) (dual of [678, 591, 37]-code) [i]
108Linear OA(2586, 676, F25, 36) (dual of [676, 590, 37]-code) [i]
109Linear OA(2589, 682, F25, 36) (dual of [682, 593, 37]-code) [i]
110Linear OA(2587, 679, F25, 36) (dual of [679, 592, 37]-code) [i]
111Linear OA(2583, 660, F25, 37) (dual of [660, 577, 38]-code) [i]
112Linear OA(2582, 658, F25, 37) (dual of [658, 576, 38]-code) [i]
113Linear OA(2584, 663, F25, 37) (dual of [663, 579, 38]-code) [i]
114Linear OA(2583, 661, F25, 37) (dual of [661, 578, 38]-code) [i]
115Linear OA(2585, 666, F25, 37) (dual of [666, 581, 38]-code) [i]
116Linear OA(2584, 664, F25, 37) (dual of [664, 580, 38]-code) [i]
117Linear OA(2586, 669, F25, 37) (dual of [669, 583, 38]-code) [i]
118Linear OA(2585, 667, F25, 37) (dual of [667, 582, 38]-code) [i]
119Linear OA(2587, 672, F25, 37) (dual of [672, 585, 38]-code) [i]
120Linear OA(2586, 670, F25, 37) (dual of [670, 584, 38]-code) [i]
121Linear OA(2588, 675, F25, 37) (dual of [675, 587, 38]-code) [i]
122Linear OA(2587, 673, F25, 37) (dual of [673, 586, 38]-code) [i]
123Linear OA(2589, 678, F25, 37) (dual of [678, 589, 38]-code) [i]
124Linear OA(2588, 676, F25, 37) (dual of [676, 588, 38]-code) [i]
125Linear OA(2591, 682, F25, 37) (dual of [682, 591, 38]-code) [i]
126Linear OA(2589, 679, F25, 37) (dual of [679, 590, 38]-code) [i]
127Linear OA(2586, 663, F25, 38) (dual of [663, 577, 39]-code) [i]
128Linear OA(2585, 661, F25, 38) (dual of [661, 576, 39]-code) [i]
129Linear OA(2587, 666, F25, 38) (dual of [666, 579, 39]-code) [i]
130Linear OA(2586, 664, F25, 38) (dual of [664, 578, 39]-code) [i]
131Linear OA(2588, 669, F25, 38) (dual of [669, 581, 39]-code) [i]
132Linear OA(2587, 667, F25, 38) (dual of [667, 580, 39]-code) [i]
133Linear OA(2589, 672, F25, 38) (dual of [672, 583, 39]-code) [i]
134Linear OA(2588, 670, F25, 38) (dual of [670, 582, 39]-code) [i]
135Linear OA(2590, 675, F25, 38) (dual of [675, 585, 39]-code) [i]
136Linear OA(2589, 673, F25, 38) (dual of [673, 584, 39]-code) [i]
137Linear OA(2591, 678, F25, 38) (dual of [678, 587, 39]-code) [i]
138Linear OA(2590, 676, F25, 38) (dual of [676, 586, 39]-code) [i]
139Linear OA(2593, 682, F25, 38) (dual of [682, 589, 39]-code) [i]
140Linear OA(2591, 679, F25, 38) (dual of [679, 588, 39]-code) [i]
141Linear OA(2586, 658, F25, 39) (dual of [658, 572, 40]-code) [i]
142Linear OA(2589, 666, F25, 39) (dual of [666, 577, 40]-code) [i]
143Linear OA(2588, 664, F25, 39) (dual of [664, 576, 40]-code) [i]
144Linear OA(2590, 669, F25, 39) (dual of [669, 579, 40]-code) [i]
145Linear OA(2589, 667, F25, 39) (dual of [667, 578, 40]-code) [i]
146Linear OA(2591, 672, F25, 39) (dual of [672, 581, 40]-code) [i]
147Linear OA(2590, 670, F25, 39) (dual of [670, 580, 40]-code) [i]
148Linear OA(2592, 675, F25, 39) (dual of [675, 583, 40]-code) [i]
149Linear OA(2591, 673, F25, 39) (dual of [673, 582, 40]-code) [i]
150Linear OA(2593, 678, F25, 39) (dual of [678, 585, 40]-code) [i]
151Linear OA(2592, 676, F25, 39) (dual of [676, 584, 40]-code) [i]
152Linear OA(2595, 682, F25, 39) (dual of [682, 587, 40]-code) [i]
153Linear OA(2593, 679, F25, 39) (dual of [679, 586, 40]-code) [i]
154Linear OA(2588, 658, F25, 40) (dual of [658, 570, 41]-code) [i]
155Linear OA(2589, 661, F25, 40) (dual of [661, 572, 41]-code) [i]
156Linear OA(2592, 669, F25, 40) (dual of [669, 577, 41]-code) [i]
157Linear OA(2591, 667, F25, 40) (dual of [667, 576, 41]-code) [i]
158Linear OA(2593, 672, F25, 40) (dual of [672, 579, 41]-code) [i]
159Linear OA(2592, 670, F25, 40) (dual of [670, 578, 41]-code) [i]
160Linear OA(2594, 675, F25, 40) (dual of [675, 581, 41]-code) [i]
161Linear OA(2593, 673, F25, 40) (dual of [673, 580, 41]-code) [i]
162Linear OA(2595, 678, F25, 40) (dual of [678, 583, 41]-code) [i]
163Linear OA(2594, 676, F25, 40) (dual of [676, 582, 41]-code) [i]
164Linear OA(2597, 682, F25, 40) (dual of [682, 585, 41]-code) [i]
165Linear OA(2595, 679, F25, 40) (dual of [679, 584, 41]-code) [i]
166Linear OA(2591, 661, F25, 41) (dual of [661, 570, 42]-code) [i]
167Linear OA(2592, 664, F25, 41) (dual of [664, 572, 42]-code) [i]
168Linear OA(2595, 672, F25, 41) (dual of [672, 577, 42]-code) [i]
169Linear OA(2594, 670, F25, 41) (dual of [670, 576, 42]-code) [i]
170Linear OA(2596, 675, F25, 41) (dual of [675, 579, 42]-code) [i]
171Linear OA(2595, 673, F25, 41) (dual of [673, 578, 42]-code) [i]
172Linear OA(2597, 678, F25, 41) (dual of [678, 581, 42]-code) [i]
173Linear OA(2596, 676, F25, 41) (dual of [676, 580, 42]-code) [i]
174Linear OA(2599, 682, F25, 41) (dual of [682, 583, 42]-code) [i]
175Linear OA(2597, 679, F25, 41) (dual of [679, 582, 42]-code) [i]
176Linear OA(2594, 664, F25, 42) (dual of [664, 570, 43]-code) [i]
177Linear OA(2595, 667, F25, 42) (dual of [667, 572, 43]-code) [i]
178Linear OA(2598, 675, F25, 42) (dual of [675, 577, 43]-code) [i]
179Linear OA(2597, 673, F25, 42) (dual of [673, 576, 43]-code) [i]
180Linear OA(2599, 678, F25, 42) (dual of [678, 579, 43]-code) [i]
181Linear OA(2598, 676, F25, 42) (dual of [676, 578, 43]-code) [i]
182Linear OA(25101, 682, F25, 42) (dual of [682, 581, 43]-code) [i]
183Linear OA(2599, 679, F25, 42) (dual of [679, 580, 43]-code) [i]
184Linear OA(2597, 667, F25, 43) (dual of [667, 570, 44]-code) [i]
185Linear OA(2598, 670, F25, 43) (dual of [670, 572, 44]-code) [i]
186Linear OA(25101, 678, F25, 43) (dual of [678, 577, 44]-code) [i]
187Linear OA(25100, 676, F25, 43) (dual of [676, 576, 44]-code) [i]
188Linear OA(25103, 682, F25, 43) (dual of [682, 579, 44]-code) [i]
189Linear OA(25101, 679, F25, 43) (dual of [679, 578, 44]-code) [i]
190Linear OA(25100, 670, F25, 44) (dual of [670, 570, 45]-code) [i]
191Linear OA(25101, 673, F25, 44) (dual of [673, 572, 45]-code) [i]
192Linear OA(25105, 682, F25, 44) (dual of [682, 577, 45]-code) [i]
193Linear OA(25103, 679, F25, 44) (dual of [679, 576, 45]-code) [i]
194Linear OA(25103, 673, F25, 45) (dual of [673, 570, 46]-code) [i]
195Linear OA(25105, 678, F25, 45) (dual of [678, 573, 46]-code) [i]
196Linear OA(25104, 676, F25, 45) (dual of [676, 572, 46]-code) [i]
197Linear OA(25105, 679, F25, 45) (dual of [679, 574, 46]-code) [i]
198Linear OA(25107, 678, F25, 46) (dual of [678, 571, 47]-code) [i]
199Linear OA(25106, 676, F25, 46) (dual of [676, 570, 47]-code) [i]
200Linear OA(25107, 679, F25, 46) (dual of [679, 572, 47]-code) [i]
201Linear OA(25109, 679, F25, 47) (dual of [679, 570, 48]-code) [i]
202Linear OA(25110, 657, F25, 53) (dual of [657, 547, 54]-code) [i]
203Linear OA(25107, 654, F25, 52) (dual of [654, 547, 53]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
204Linear OA(2577, 654, F25, 35) (dual of [654, 577, 36]-code) [i]
205Linear OA(2575, 654, F25, 34) (dual of [654, 579, 35]-code) [i]
206Linear OA(2573, 654, F25, 33) (dual of [654, 581, 34]-code) [i]
207Linear OA(2571, 654, F25, 32) (dual of [654, 583, 33]-code) [i]
208Linear OA(2569, 654, F25, 31) (dual of [654, 585, 32]-code) [i]
209Linear OA(2567, 654, F25, 30) (dual of [654, 587, 31]-code) [i]
210Linear OA(2565, 654, F25, 29) (dual of [654, 589, 30]-code) [i]
211Linear OA(2563, 654, F25, 28) (dual of [654, 591, 29]-code) [i]
212Linear OA(2561, 654, F25, 27) (dual of [654, 593, 28]-code) [i]
213Linear OA(25109, 655, F25, 53) (dual of [655, 546, 54]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes