Information on Result #736205

Linear OA(78, 19, F7, 6) (dual of [19, 11, 7]-code), using codes constructed by inverting construction Y1

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(764, 16825, F7, 13) (dual of [16825, 16761, 14]-code) [i](u, u+v)-Construction
2Linear OA(786, 823561, F7, 13) (dual of [823561, 823475, 14]-code) [i]
3Linear OA(797, 5764819, F7, 13) (dual of [5764819, 5764722, 14]-code) [i]
4Linear OA(759, 16825, F7, 12) (dual of [16825, 16766, 13]-code) [i]
5Linear OA(779, 823561, F7, 12) (dual of [823561, 823482, 13]-code) [i]
6Linear OA(789, 5764819, F7, 12) (dual of [5764819, 5764730, 13]-code) [i]
7Linear OA(758, 67, F7, 40) (dual of [67, 9, 41]-code) [i]Juxtaposition
8Linear OA(757, 65, F7, 40) (dual of [65, 8, 41]-code) [i]
9Linear OA(765, 72, F7, 47) (dual of [72, 7, 48]-code) [i]
10Linear OA(773, 78, F7, 55) (dual of [78, 5, 56]-code) [i]
11Linear OA(758, 62, F7, 48) (dual of [62, 4, 49]-code) [i]
12Linear OA(749, 61, F7, 33) (dual of [61, 12, 34]-code) [i]Construction X with Cyclic Codes
13Linear OA(748, 62, F7, 32) (dual of [62, 14, 33]-code) [i]
14Linear OA(747, 62, F7, 31) (dual of [62, 15, 32]-code) [i]
15Linear OA(746, 69, F7, 24) (dual of [69, 23, 25]-code) [i]
16Linear OA(753, 61, F7, 40) (dual of [61, 8, 41]-code) [i]Construction XX with Cyclic Codes
17Linear OA(749, 62, F7, 33) (dual of [62, 13, 34]-code) [i]
18Linear OA(748, 63, F7, 32) (dual of [63, 15, 33]-code) [i]
19Linear OA(735, 67, F7, 18) (dual of [67, 32, 19]-code) [i]
20Linear OA(744, 65, F7, 26) (dual of [65, 21, 27]-code) [i]
21Linear OA(744, 72, F7, 23) (dual of [72, 28, 24]-code) [i]
22Linear OA(743, 69, F7, 23) (dual of [69, 26, 24]-code) [i]
23Linear OA(751, 70, F7, 30) (dual of [70, 19, 31]-code) [i]
24Linear OA(751, 68, F7, 31) (dual of [68, 17, 32]-code) [i]
25Linear OA(756, 68, F7, 37) (dual of [68, 12, 38]-code) [i]
26Linear OA(775, 191, F7, 30) (dual of [191, 116, 31]-code) [i]
27Linear OA(778, 191, F7, 31) (dual of [191, 113, 32]-code) [i]
28Linear OA(780, 193, F7, 32) (dual of [193, 113, 33]-code) [i]
29Linear OA(794, 196, F7, 38) (dual of [196, 102, 39]-code) [i]
30Linear OA(797, 200, F7, 39) (dual of [200, 103, 40]-code) [i]
31Linear OA(795, 197, F7, 39) (dual of [197, 102, 40]-code) [i]
32Linear OA(794, 193, F7, 39) (dual of [193, 99, 40]-code) [i]
33Linear OA(7100, 196, F7, 41) (dual of [196, 96, 42]-code) [i]
34Linear OA(7109, 196, F7, 45) (dual of [196, 87, 46]-code) [i]
35Linear OA(7110, 197, F7, 46) (dual of [197, 87, 47]-code) [i]
36Linear OA(7109, 193, F7, 46) (dual of [193, 84, 47]-code) [i]
37Linear OA(778, 189, F7, 31) (dual of [189, 111, 32]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
38Linear OA(775, 189, F7, 30) (dual of [189, 114, 31]-code) [i]
39Linear OA(772, 189, F7, 29) (dual of [189, 117, 30]-code) [i]
40Linear OA(746, 64, F7, 27) (dual of [64, 18, 28]-code) [i]
41Linear OA(744, 64, F7, 26) (dual of [64, 20, 27]-code) [i]
42Linear OA(742, 64, F7, 25) (dual of [64, 22, 26]-code) [i]
43Linear OA(741, 65, F7, 24) (dual of [65, 24, 25]-code) [i]
44Linear OA(739, 66, F7, 20) (dual of [66, 27, 21]-code) [i]
45Linear OA(737, 66, F7, 19) (dual of [66, 29, 20]-code) [i]
46Linear OA(735, 66, F7, 18) (dual of [66, 31, 19]-code) [i]
47Linear OA(733, 66, F7, 17) (dual of [66, 33, 18]-code) [i]
48Linear OA(746, 72, F7, 24) (dual of [72, 26, 25]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes