Information on Result #606374

Linear OA(251, 25, F25, 1) (dual of [25, 24, 2]-code), using Reed–Solomon code RS(24,25)

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(2568, 215, F25, 38) (dual of [215, 147, 39]-code) [i]Construction XX with Cyclic Codes
2Linear OA(2570, 215, F25, 39) (dual of [215, 145, 40]-code) [i]
3Linear OA(2579, 319, F25, 43) (dual of [319, 240, 44]-code) [i]
4Linear OA(2581, 319, F25, 44) (dual of [319, 238, 45]-code) [i]
5Linear OA(2583, 319, F25, 45) (dual of [319, 236, 46]-code) [i]
6Linear OA(2585, 319, F25, 46) (dual of [319, 234, 47]-code) [i]
7Linear OA(2587, 319, F25, 47) (dual of [319, 232, 48]-code) [i]
8Linear OA(2589, 319, F25, 48) (dual of [319, 230, 49]-code) [i]
9Linear OA(2591, 319, F25, 49) (dual of [319, 228, 50]-code) [i]
10Linear OA(2593, 319, F25, 50) (dual of [319, 226, 51]-code) [i]
11Linear OA(25100, 319, F25, 56) (dual of [319, 219, 57]-code) [i]
12Linear OA(25102, 319, F25, 57) (dual of [319, 217, 58]-code) [i]
13Linear OA(25104, 319, F25, 58) (dual of [319, 215, 59]-code) [i]
14Linear OA(25106, 319, F25, 59) (dual of [319, 213, 60]-code) [i]
15Linear OA(25108, 319, F25, 60) (dual of [319, 211, 61]-code) [i]
16Linear OA(25110, 319, F25, 61) (dual of [319, 209, 62]-code) [i]
17Linear OA(2512, 631, F25, 6) (dual of [631, 619, 7]-code) [i]
18Linear OA(2516, 631, F25, 8) (dual of [631, 615, 9]-code) [i]
19Linear OA(2540, 655, F25, 16) (dual of [655, 615, 17]-code) [i]
20Linear OA(2520, 631, F25, 10) (dual of [631, 611, 11]-code) [i]
21Linear OA(2545, 655, F25, 18) (dual of [655, 610, 19]-code) [i]
22Linear OA(2544, 654, F25, 18) (dual of [654, 610, 19]-code) [i]
23Linear OA(2544, 655, F25, 18) (dual of [655, 611, 19]-code) [i]
24Linear OA(2524, 631, F25, 12) (dual of [631, 607, 13]-code) [i]
25Linear OA(2546, 654, F25, 19) (dual of [654, 608, 20]-code) [i]
26Linear OA(2546, 655, F25, 19) (dual of [655, 609, 20]-code) [i]
27Linear OA(2549, 655, F25, 20) (dual of [655, 606, 21]-code) [i]
28Linear OA(2548, 654, F25, 20) (dual of [654, 606, 21]-code) [i]
29Linear OA(2548, 655, F25, 20) (dual of [655, 607, 21]-code) [i]
30Linear OA(2528, 631, F25, 14) (dual of [631, 603, 15]-code) [i]
31Linear OA(2550, 654, F25, 21) (dual of [654, 604, 22]-code) [i]
32Linear OA(2550, 655, F25, 21) (dual of [655, 605, 22]-code) [i]
33Linear OA(2553, 655, F25, 22) (dual of [655, 602, 23]-code) [i]
34Linear OA(2552, 654, F25, 22) (dual of [654, 602, 23]-code) [i]
35Linear OA(2552, 655, F25, 22) (dual of [655, 603, 23]-code) [i]
36Linear OA(2532, 631, F25, 16) (dual of [631, 599, 17]-code) [i]
37Linear OA(2554, 654, F25, 23) (dual of [654, 600, 24]-code) [i]
38Linear OA(2554, 655, F25, 23) (dual of [655, 601, 24]-code) [i]
39Linear OA(2557, 655, F25, 24) (dual of [655, 598, 25]-code) [i]
40Linear OA(2556, 654, F25, 24) (dual of [654, 598, 25]-code) [i]
41Linear OA(2556, 655, F25, 24) (dual of [655, 599, 25]-code) [i]
42Linear OA(2558, 653, F25, 25) (dual of [653, 595, 26]-code) [i]
43Linear OA(2536, 631, F25, 18) (dual of [631, 595, 19]-code) [i]
44Linear OA(2558, 655, F25, 25) (dual of [655, 597, 26]-code) [i]
45Linear OA(2565, 659, F25, 28) (dual of [659, 594, 29]-code) [i]
46Linear OA(2564, 657, F25, 28) (dual of [657, 593, 29]-code) [i]
47Linear OA(2567, 658, F25, 29) (dual of [658, 591, 30]-code) [i]
48Linear OA(2540, 631, F25, 20) (dual of [631, 591, 21]-code) [i]
49Linear OA(2562, 654, F25, 28) (dual of [654, 592, 29]-code) [i]
50Linear OA(2567, 659, F25, 29) (dual of [659, 592, 30]-code) [i]
51Linear OA(2566, 657, F25, 29) (dual of [657, 591, 30]-code) [i]
52Linear OA(2566, 658, F25, 29) (dual of [658, 592, 30]-code) [i]
53Linear OA(2569, 658, F25, 30) (dual of [658, 589, 31]-code) [i]
54Linear OA(2564, 654, F25, 29) (dual of [654, 590, 30]-code) [i]
55Linear OA(2569, 659, F25, 30) (dual of [659, 590, 31]-code) [i]
56Linear OA(2568, 657, F25, 30) (dual of [657, 589, 31]-code) [i]
57Linear OA(2564, 655, F25, 29) (dual of [655, 591, 30]-code) [i]
58Linear OA(2568, 658, F25, 30) (dual of [658, 590, 31]-code) [i]
59Linear OA(2571, 658, F25, 31) (dual of [658, 587, 32]-code) [i]
60Linear OA(2544, 631, F25, 22) (dual of [631, 587, 23]-code) [i]
61Linear OA(2566, 654, F25, 30) (dual of [654, 588, 31]-code) [i]
62Linear OA(2571, 659, F25, 31) (dual of [659, 588, 32]-code) [i]
63Linear OA(2570, 657, F25, 31) (dual of [657, 587, 32]-code) [i]
64Linear OA(2566, 655, F25, 30) (dual of [655, 589, 31]-code) [i]
65Linear OA(2570, 658, F25, 31) (dual of [658, 588, 32]-code) [i]
66Linear OA(2573, 658, F25, 32) (dual of [658, 585, 33]-code) [i]
67Linear OA(2568, 654, F25, 31) (dual of [654, 586, 32]-code) [i]
68Linear OA(2573, 659, F25, 32) (dual of [659, 586, 33]-code) [i]
69Linear OA(2572, 657, F25, 32) (dual of [657, 585, 33]-code) [i]
70Linear OA(2568, 655, F25, 31) (dual of [655, 587, 32]-code) [i]
71Linear OA(2572, 658, F25, 32) (dual of [658, 586, 33]-code) [i]
72Linear OA(2575, 658, F25, 33) (dual of [658, 583, 34]-code) [i]
73Linear OA(2548, 631, F25, 24) (dual of [631, 583, 25]-code) [i]
74Linear OA(2570, 654, F25, 32) (dual of [654, 584, 33]-code) [i]
75Linear OA(2575, 659, F25, 33) (dual of [659, 584, 34]-code) [i]
76Linear OA(2574, 657, F25, 33) (dual of [657, 583, 34]-code) [i]
77Linear OA(2570, 655, F25, 32) (dual of [655, 585, 33]-code) [i]
78Linear OA(2574, 658, F25, 33) (dual of [658, 584, 34]-code) [i]
79Linear OA(2577, 658, F25, 34) (dual of [658, 581, 35]-code) [i]
80Linear OA(2572, 654, F25, 33) (dual of [654, 582, 34]-code) [i]
81Linear OA(2577, 659, F25, 34) (dual of [659, 582, 35]-code) [i]
82Linear OA(2576, 657, F25, 34) (dual of [657, 581, 35]-code) [i]
83Linear OA(2572, 655, F25, 33) (dual of [655, 583, 34]-code) [i]
84Linear OA(2576, 658, F25, 34) (dual of [658, 582, 35]-code) [i]
85Linear OA(2579, 658, F25, 35) (dual of [658, 579, 36]-code) [i]
86Linear OA(2574, 654, F25, 34) (dual of [654, 580, 35]-code) [i]
87Linear OA(2579, 659, F25, 35) (dual of [659, 580, 36]-code) [i]
88Linear OA(2578, 657, F25, 35) (dual of [657, 579, 36]-code) [i]
89Linear OA(2574, 655, F25, 34) (dual of [655, 581, 35]-code) [i]
90Linear OA(2578, 658, F25, 35) (dual of [658, 580, 36]-code) [i]
91Linear OA(2576, 654, F25, 35) (dual of [654, 578, 36]-code) [i]
92Linear OA(2581, 659, F25, 36) (dual of [659, 578, 37]-code) [i]
93Linear OA(2580, 657, F25, 36) (dual of [657, 577, 37]-code) [i]
94Linear OA(2576, 655, F25, 35) (dual of [655, 579, 36]-code) [i]
95Linear OA(2580, 658, F25, 36) (dual of [658, 578, 37]-code) [i]
96Linear OA(2578, 655, F25, 36) (dual of [655, 577, 37]-code) [i]
97Linear OA(2582, 658, F25, 37) (dual of [658, 576, 38]-code) [i]
98Linear OA(2577, 653, F25, 36) (dual of [653, 576, 37]-code) [i]
99Linear OA(2581, 657, F25, 37) (dual of [657, 576, 38]-code) [i]
100Linear OA(2557, 631, F25, 30) (dual of [631, 574, 31]-code) [i]
101Linear OA(2579, 654, F25, 37) (dual of [654, 575, 38]-code) [i]
102Linear OA(2584, 659, F25, 38) (dual of [659, 575, 39]-code) [i]
103Linear OA(2583, 657, F25, 38) (dual of [657, 574, 39]-code) [i]
104Linear OA(2583, 658, F25, 38) (dual of [658, 575, 39]-code) [i]
105Linear OA(2586, 658, F25, 39) (dual of [658, 572, 40]-code) [i]
106Linear OA(2559, 631, F25, 31) (dual of [631, 572, 32]-code) [i]
107Linear OA(2581, 655, F25, 38) (dual of [655, 574, 39]-code) [i]
108Linear OA(2585, 658, F25, 39) (dual of [658, 573, 40]-code) [i]
109Linear OA(2584, 655, F25, 39) (dual of [655, 571, 40]-code) [i]
110Linear OA(2588, 658, F25, 40) (dual of [658, 570, 41]-code) [i]
111Linear OA(2561, 631, F25, 32) (dual of [631, 570, 33]-code) [i]
112Linear OA(2583, 655, F25, 39) (dual of [655, 572, 40]-code) [i]
113Linear OA(2586, 655, F25, 40) (dual of [655, 569, 41]-code) [i]
114Linear OA(2563, 631, F25, 33) (dual of [631, 568, 34]-code) [i]
115Linear OA(2585, 655, F25, 40) (dual of [655, 570, 41]-code) [i]
116Linear OA(2588, 655, F25, 41) (dual of [655, 567, 42]-code) [i]
117Linear OA(2565, 631, F25, 34) (dual of [631, 566, 35]-code) [i]
118Linear OA(2587, 655, F25, 41) (dual of [655, 568, 42]-code) [i]
119Linear OA(2590, 655, F25, 42) (dual of [655, 565, 43]-code) [i]
120Linear OA(2567, 631, F25, 35) (dual of [631, 564, 36]-code) [i]
121Linear OA(2589, 655, F25, 42) (dual of [655, 566, 43]-code) [i]
122Linear OA(2592, 655, F25, 43) (dual of [655, 563, 44]-code) [i]
123Linear OA(2569, 631, F25, 36) (dual of [631, 562, 37]-code) [i]
124Linear OA(2591, 655, F25, 43) (dual of [655, 564, 44]-code) [i]
125Linear OA(2594, 655, F25, 44) (dual of [655, 561, 45]-code) [i]
126Linear OA(2571, 631, F25, 37) (dual of [631, 560, 38]-code) [i]
127Linear OA(2593, 655, F25, 44) (dual of [655, 562, 45]-code) [i]
128Linear OA(2596, 655, F25, 45) (dual of [655, 559, 46]-code) [i]
129Linear OA(2573, 631, F25, 38) (dual of [631, 558, 39]-code) [i]
130Linear OA(2595, 655, F25, 45) (dual of [655, 560, 46]-code) [i]
131Linear OA(2598, 655, F25, 46) (dual of [655, 557, 47]-code) [i]
132Linear OA(2575, 631, F25, 39) (dual of [631, 556, 40]-code) [i]
133Linear OA(2597, 655, F25, 46) (dual of [655, 558, 47]-code) [i]
134Linear OA(25100, 655, F25, 47) (dual of [655, 555, 48]-code) [i]
135Linear OA(2577, 631, F25, 40) (dual of [631, 554, 41]-code) [i]
136Linear OA(2599, 655, F25, 47) (dual of [655, 556, 48]-code) [i]
137Linear OA(25102, 655, F25, 48) (dual of [655, 553, 49]-code) [i]
138Linear OA(2579, 631, F25, 41) (dual of [631, 552, 42]-code) [i]
139Linear OA(25101, 655, F25, 48) (dual of [655, 554, 49]-code) [i]
140Linear OA(25104, 655, F25, 49) (dual of [655, 551, 50]-code) [i]
141Linear OA(2581, 631, F25, 42) (dual of [631, 550, 43]-code) [i]
142Linear OA(25103, 655, F25, 49) (dual of [655, 552, 50]-code) [i]
143Linear OA(25106, 655, F25, 50) (dual of [655, 549, 51]-code) [i]
144Linear OA(2583, 631, F25, 43) (dual of [631, 548, 44]-code) [i]
145Linear OA(25105, 655, F25, 50) (dual of [655, 550, 51]-code) [i]
146Linear OA(2585, 631, F25, 44) (dual of [631, 546, 45]-code) [i]
147Linear OA(25110, 657, F25, 53) (dual of [657, 547, 54]-code) [i]
148Linear OA(2587, 631, F25, 45) (dual of [631, 544, 46]-code) [i]
149Linear OA(25110, 654, F25, 54) (dual of [654, 544, 55]-code) [i]
150Linear OA(2589, 631, F25, 46) (dual of [631, 542, 47]-code) [i]
151Linear OA(2591, 631, F25, 47) (dual of [631, 540, 48]-code) [i]
152Linear OA(2593, 631, F25, 48) (dual of [631, 538, 49]-code) [i]
153Linear OA(2595, 631, F25, 49) (dual of [631, 536, 50]-code) [i]
154Linear OA(2597, 631, F25, 50) (dual of [631, 534, 51]-code) [i]
155Linear OA(25104, 631, F25, 56) (dual of [631, 527, 57]-code) [i]
156Linear OA(25108, 631, F25, 58) (dual of [631, 523, 59]-code) [i]
157Linear OA(25110, 878, F25, 40) (dual of [878, 768, 41]-code) [i]
158Linear OA(2534, 390636, F25, 9) (dual of [390636, 390602, 10]-code) [i]Construction X4 with Cyclic Codes
159Linear OA(2526, 390636, F25, 7) (dual of [390636, 390610, 8]-code) [i]
160Linear OA(2518, 390636, F25, 5) (dual of [390636, 390618, 6]-code) [i]
161Linear OA(2520, 15634, F25, 7) (dual of [15634, 15614, 8]-code) [i]
162Linear OA(2514, 15634, F25, 5) (dual of [15634, 15620, 6]-code) [i]
163Linear OA(2514, 390631, F25, 4) (dual of [390631, 390617, 5]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
164Linear OA(2530, 390635, F25, 8) (dual of [390635, 390605, 9]-code) [i]
165Linear OA(2522, 390635, F25, 6) (dual of [390635, 390613, 7]-code) [i]
166Linear OA(2514, 390635, F25, 4) (dual of [390635, 390621, 5]-code) [i]
167Linear OA(2550, 390639, F25, 12) (dual of [390639, 390589, 13]-code) [i]
168Linear OA(2517, 15633, F25, 6) (dual of [15633, 15616, 7]-code) [i]
169Linear OA(2511, 15633, F25, 4) (dual of [15633, 15622, 5]-code) [i]
170Linear OA(2532, 15636, F25, 10) (dual of [15636, 15604, 11]-code) [i]