Information on Result #606801

Linear OA(75, 8, F7, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,7)), using extended Reed–Solomon code RSe(3,7)

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(733, 351, F7, 11) (dual of [351, 318, 12]-code) [i](u, u+v)-Construction
2Linear OA(751, 16815, F7, 11) (dual of [16815, 16764, 12]-code) [i]
3Linear OA(760, 117657, F7, 11) (dual of [117657, 117597, 12]-code) [i]
4Linear OA(769, 823551, F7, 11) (dual of [823551, 823482, 12]-code) [i]
5Linear OA(778, 5764809, F7, 11) (dual of [5764809, 5764731, 12]-code) [i]
6Linear OA(746, 16815, F7, 10) (dual of [16815, 16769, 11]-code) [i]
7Linear OA(754, 117657, F7, 10) (dual of [117657, 117603, 11]-code) [i]
8Linear OA(762, 823551, F7, 10) (dual of [823551, 823489, 11]-code) [i]
9Linear OA(770, 5764809, F7, 10) (dual of [5764809, 5764739, 11]-code) [i]
10Linear OA(747, 56, F7, 34) (dual of [56, 9, 35]-code) [i]Generalized (u, u+v)-Construction
11Linear OA(750, 60, F7, 34) (dual of [60, 10, 35]-code) [i]
12Linear OA(744, 56, F7, 29) (dual of [56, 12, 30]-code) [i]
13Linear OA(742, 56, F7, 27) (dual of [56, 14, 28]-code) [i]
14Linear OA(744, 59, F7, 26) (dual of [59, 15, 27]-code) [i]
15Linear OA(784, 16825, F7, 17) (dual of [16825, 16741, 18]-code) [i](u, u−v, u+v+w)-Construction
16Linear OA(754, 16823, F7, 11) (dual of [16823, 16769, 12]-code) [i]
17Linear OA(772, 823559, F7, 11) (dual of [823559, 823487, 12]-code) [i]
18Linear OA(781, 5764817, F7, 11) (dual of [5764817, 5764736, 12]-code) [i]
19Linear OA(746, 56, F7, 33) (dual of [56, 10, 34]-code) [i]Construction X with Cyclic Codes
20Linear OA(745, 56, F7, 32) (dual of [56, 11, 33]-code) [i]
21Linear OA(755, 65, F7, 38) (dual of [65, 10, 39]-code) [i]
22Linear OA(743, 65, F7, 23) (dual of [65, 22, 24]-code) [i]
23Linear OA(730, 58, F7, 17) (dual of [58, 28, 18]-code) [i]
24Linear OA(746, 57, F7, 33) (dual of [57, 11, 34]-code) [i]Construction XX with Cyclic Codes
25Linear OA(745, 57, F7, 32) (dual of [57, 12, 33]-code) [i]
26Linear OA(745, 63, F7, 27) (dual of [63, 18, 28]-code) [i]
27Linear OA(751, 63, F7, 34) (dual of [63, 12, 35]-code) [i]
28Linear OA(749, 60, F7, 34) (dual of [60, 11, 35]-code) [i]
29Linear OA(768, 79, F7, 45) (dual of [79, 11, 46]-code) [i]
30Linear OA(748, 58, F7, 34) (dual of [58, 10, 35]-code) [i]
31Linear OA(764, 74, F7, 43) (dual of [74, 10, 44]-code) [i]
32Linear OA(762, 72, F7, 42) (dual of [72, 10, 43]-code) [i]
33Linear OA(758, 75, F7, 34) (dual of [75, 17, 35]-code) [i]
34Linear OA(759, 71, F7, 39) (dual of [71, 12, 40]-code) [i]
35Linear OA(755, 67, F7, 36) (dual of [67, 12, 37]-code) [i]
36Linear OA(761, 73, F7, 40) (dual of [73, 12, 41]-code) [i]
37Linear OA(753, 64, F7, 36) (dual of [64, 11, 37]-code) [i]
38Linear OA(756, 67, F7, 38) (dual of [67, 11, 39]-code) [i]
39Linear OA(760, 67, F7, 45) (dual of [67, 7, 46]-code) [i]
40Linear OA(757, 64, F7, 43) (dual of [64, 7, 44]-code) [i]
41Linear OA(757, 64, F7, 43) (dual of [64, 7, 44]-code) [i]
42Linear OA(772, 182, F7, 30) (dual of [182, 110, 31]-code) [i]
43Linear OA(776, 186, F7, 31) (dual of [186, 110, 32]-code) [i]
44Linear OA(779, 190, F7, 32) (dual of [190, 111, 33]-code) [i]
45Linear OA(777, 187, F7, 32) (dual of [187, 110, 33]-code) [i]
46Linear OA(782, 192, F7, 33) (dual of [192, 110, 34]-code) [i]
47Linear OA(743, 66, F7, 22) (dual of [66, 23, 23]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
48Linear OA(763, 74, F7, 41) (dual of [74, 11, 42]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
49Linear OA(759, 65, F7, 47) (dual of [65, 6, 48]-code) [i]Construction X with De Boer–Brouwer Codes
50Linear OA(754, 58, F7, 47) (dual of [58, 4, 48]-code) [i]Construction X with Ovoid