Information on Result #605050

Linear OA(71, 2, F7, 1) (dual of [2, 1, 2]-code), using dual of repetition code with length 2

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(7110, 119, F7, 80) (dual of [119, 9, 81]-code) [i]Construction XX with Cyclic Codes
2Linear OA(795, 104, F7, 69) (dual of [104, 9, 70]-code) [i]
3Linear OA(793, 101, F7, 69) (dual of [101, 8, 70]-code) [i]
4Linear OA(743, 67, F7, 22) (dual of [67, 24, 23]-code) [i]
5Linear OA(7103, 2417, F7, 29) (dual of [2417, 2314, 30]-code) [i]Construction XX with a Chain of Cyclic Codes
6Linear OA(7100, 2414, F7, 27) (dual of [2414, 2314, 28]-code) [i]
7Linear OA(7106, 2428, F7, 29) (dual of [2428, 2322, 30]-code) [i]
8Linear OA(7103, 2425, F7, 27) (dual of [2425, 2322, 28]-code) [i]
9Linear OA(792, 2414, F7, 25) (dual of [2414, 2322, 26]-code) [i]
10Linear OA(795, 2425, F7, 25) (dual of [2425, 2330, 26]-code) [i]
11Linear OA(784, 2414, F7, 23) (dual of [2414, 2330, 24]-code) [i]
12Linear OA(787, 2425, F7, 23) (dual of [2425, 2338, 24]-code) [i]
13Linear OA(776, 2414, F7, 21) (dual of [2414, 2338, 22]-code) [i]
14Linear OA(779, 2425, F7, 21) (dual of [2425, 2346, 22]-code) [i]
15Linear OA(768, 2414, F7, 19) (dual of [2414, 2346, 20]-code) [i]
16Linear OA(755, 2417, F7, 15) (dual of [2417, 2362, 16]-code) [i]
17Linear OA(7106, 354, F7, 39) (dual of [354, 248, 40]-code) [i]
18Linear OA(7109, 363, F7, 39) (dual of [363, 254, 40]-code) [i]
19Linear OA(7100, 354, F7, 37) (dual of [354, 254, 38]-code) [i]
20Linear OA(7103, 363, F7, 37) (dual of [363, 260, 38]-code) [i]
21Linear OA(7106, 372, F7, 37) (dual of [372, 266, 38]-code) [i]
22Linear OA(794, 354, F7, 35) (dual of [354, 260, 36]-code) [i]
23Linear OA(797, 363, F7, 35) (dual of [363, 266, 36]-code) [i]
24Linear OA(788, 354, F7, 33) (dual of [354, 266, 34]-code) [i]
25Linear OA(788, 366, F7, 31) (dual of [366, 278, 32]-code) [i]
26Linear OA(779, 357, F7, 29) (dual of [357, 278, 30]-code) [i]
27Linear OA(776, 354, F7, 27) (dual of [354, 278, 28]-code) [i]
28Linear OA(782, 366, F7, 29) (dual of [366, 284, 30]-code) [i]
29Linear OA(779, 363, F7, 27) (dual of [363, 284, 28]-code) [i]
30Linear OA(782, 372, F7, 27) (dual of [372, 290, 28]-code) [i]
31Linear OA(770, 354, F7, 25) (dual of [354, 284, 26]-code) [i]
32Linear OA(773, 363, F7, 25) (dual of [363, 290, 26]-code) [i]
33Linear OA(776, 372, F7, 25) (dual of [372, 296, 26]-code) [i]
34Linear OA(764, 354, F7, 23) (dual of [354, 290, 24]-code) [i]
35Linear OA(767, 363, F7, 23) (dual of [363, 296, 24]-code) [i]
36Linear OA(770, 372, F7, 23) (dual of [372, 302, 24]-code) [i]
37Linear OA(758, 354, F7, 21) (dual of [354, 296, 22]-code) [i]
38Linear OA(761, 363, F7, 21) (dual of [363, 302, 22]-code) [i]
39Linear OA(752, 354, F7, 19) (dual of [354, 302, 20]-code) [i]
40Linear OA(752, 366, F7, 17) (dual of [366, 314, 18]-code) [i]
41Linear OA(743, 357, F7, 15) (dual of [357, 314, 16]-code) [i]
42Linear OA(740, 354, F7, 13) (dual of [354, 314, 14]-code) [i]
43Linear OA(796, 105, F7, 69) (dual of [105, 9, 70]-code) [i]
44Linear OA(733, 63, F7, 17) (dual of [63, 30, 18]-code) [i]
45Linear OA(7107, 5764812, F7, 16) (dual of [5764812, 5764705, 17]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
46Linear OA(778, 5764831, F7, 11) (dual of [5764831, 5764753, 12]-code) [i]
47Linear OA(759, 5764812, F7, 9) (dual of [5764812, 5764753, 10]-code) [i]
48Linear OA(794, 823553, F7, 16) (dual of [823553, 823459, 17]-code) [i]
49Linear OA(769, 823570, F7, 11) (dual of [823570, 823501, 12]-code) [i]
50Linear OA(752, 823553, F7, 9) (dual of [823553, 823501, 10]-code) [i]
51Linear OA(796, 117673, F7, 18) (dual of [117673, 117577, 19]-code) [i]
52Linear OA(781, 117658, F7, 16) (dual of [117658, 117577, 17]-code) [i]
53Linear OA(767, 117680, F7, 12) (dual of [117680, 117613, 13]-code) [i]
54Linear OA(760, 117673, F7, 11) (dual of [117673, 117613, 12]-code) [i]
55Linear OA(745, 117658, F7, 9) (dual of [117658, 117613, 10]-code) [i]
56Linear OA(7104, 16821, F7, 24) (dual of [16821, 16717, 25]-code) [i]
57Linear OA(781, 16828, F7, 18) (dual of [16828, 16747, 19]-code) [i]
58Linear OA(757, 16834, F7, 12) (dual of [16834, 16777, 13]-code) [i]
59Linear OA(751, 16828, F7, 11) (dual of [16828, 16777, 12]-code) [i]
60Linear OA(7101, 2430, F7, 27) (dual of [2430, 2329, 28]-code) [i]
61Linear OA(795, 2424, F7, 26) (dual of [2424, 2329, 27]-code) [i]
62Linear OA(790, 2419, F7, 25) (dual of [2419, 2329, 26]-code) [i]
63Linear OA(784, 2413, F7, 24) (dual of [2413, 2329, 25]-code) [i]
64Linear OA(777, 2430, F7, 20) (dual of [2430, 2353, 21]-code) [i]
65Linear OA(766, 2419, F7, 18) (dual of [2419, 2353, 19]-code) [i]
66Linear OA(736, 2413, F7, 10) (dual of [2413, 2377, 11]-code) [i]
67Linear OA(7109, 362, F7, 40) (dual of [362, 253, 41]-code) [i]
68Linear OA(7105, 358, F7, 39) (dual of [358, 253, 40]-code) [i]
69Linear OA(7100, 353, F7, 38) (dual of [353, 253, 39]-code) [i]
70Linear OA(796, 367, F7, 34) (dual of [367, 271, 35]-code) [i]
71Linear OA(787, 358, F7, 32) (dual of [358, 271, 33]-code) [i]
72Linear OA(782, 371, F7, 28) (dual of [371, 289, 29]-code) [i]
73Linear OA(778, 367, F7, 27) (dual of [367, 289, 28]-code) [i]
74Linear OA(773, 362, F7, 26) (dual of [362, 289, 27]-code) [i]
75Linear OA(769, 358, F7, 25) (dual of [358, 289, 26]-code) [i]
76Linear OA(764, 353, F7, 24) (dual of [353, 289, 25]-code) [i]
77Linear OA(760, 367, F7, 20) (dual of [367, 307, 21]-code) [i]
78Linear OA(751, 358, F7, 18) (dual of [358, 307, 19]-code) [i]
79Linear OA(737, 362, F7, 12) (dual of [362, 325, 13]-code) [i]
80Linear OA(733, 358, F7, 11) (dual of [358, 325, 12]-code) [i]
81Linear OA(728, 353, F7, 10) (dual of [353, 325, 11]-code) [i]
82Linear OA(7109, 188, F7, 47) (dual of [188, 79, 48]-code) [i]
83Linear OA(7103, 182, F7, 45) (dual of [182, 79, 46]-code) [i]
84Linear OA(7108, 193, F7, 45) (dual of [193, 85, 46]-code) [i]
85Linear OA(7103, 188, F7, 44) (dual of [188, 85, 45]-code) [i]
86Linear OA(799, 184, F7, 43) (dual of [184, 85, 44]-code) [i]
87Linear OA(797, 182, F7, 42) (dual of [182, 85, 43]-code) [i]
88Linear OA(7103, 197, F7, 42) (dual of [197, 94, 43]-code) [i]
89Linear OA(799, 193, F7, 41) (dual of [193, 94, 42]-code) [i]
90Linear OA(794, 188, F7, 40) (dual of [188, 94, 41]-code) [i]
91Linear OA(797, 197, F7, 39) (dual of [197, 100, 40]-code) [i]
92Linear OA(788, 182, F7, 38) (dual of [182, 94, 39]-code) [i]
93Linear OA(793, 193, F7, 38) (dual of [193, 100, 39]-code) [i]
94Linear OA(788, 188, F7, 37) (dual of [188, 100, 38]-code) [i]
95Linear OA(784, 184, F7, 36) (dual of [184, 100, 37]-code) [i]
96Linear OA(782, 182, F7, 35) (dual of [182, 100, 36]-code) [i]
97Linear OA(756, 125, F7, 24) (dual of [125, 69, 25]-code) [i]
98Linear OA(7101, 110, F7, 72) (dual of [110, 9, 73]-code) [i]
99Linear OA(798, 107, F7, 70) (dual of [107, 9, 71]-code) [i]
100Linear OA(7108, 112, F7, 92) (dual of [112, 4, 93]-code) [i]