Information on Result #606342
Linear OA(75, 7, F7, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,7)), using Reed–Solomon code RS(2,7)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(785, 91, F7, 65) (dual of [91, 6, 66]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(792, 98, F7, 71) (dual of [98, 6, 72]-code) | [i] | ||
| 3 | Linear OA(799, 105, F7, 77) (dual of [105, 6, 78]-code) | [i] | ||
| 4 | Linear OA(7106, 112, F7, 83) (dual of [112, 6, 84]-code) | [i] | ||
| 5 | Linear OA(7108, 112, F7, 89) (dual of [112, 4, 90]-code) | [i] | ||
| 6 | Linear OA(783, 16822, F7, 17) (dual of [16822, 16739, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(797, 117664, F7, 17) (dual of [117664, 117567, 18]-code) | [i] | ||
| 8 | Linear OA(778, 16821, F7, 16) (dual of [16821, 16743, 17]-code) | [i] | ||
| 9 | Linear OA(791, 117663, F7, 16) (dual of [117663, 117572, 17]-code) | [i] | ||
| 10 | Linear OA(7104, 823557, F7, 16) (dual of [823557, 823453, 17]-code) | [i] | ||
| 11 | Linear OA(743, 64, F7, 24) (dual of [64, 21, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 12 | Linear OA(752, 63, F7, 35) (dual of [63, 11, 36]-code) | [i] | Construction XX with Cyclic Codes | |
| 13 | Linear OA(751, 61, F7, 35) (dual of [61, 10, 36]-code) | [i] | ||
| 14 | Linear OA(758, 69, F7, 39) (dual of [69, 11, 40]-code) | [i] | ||
| 15 | Linear OA(755, 66, F7, 37) (dual of [66, 11, 38]-code) | [i] | ||
| 16 | Linear OA(753, 63, F7, 37) (dual of [63, 10, 38]-code) | [i] | ||
| 17 | Linear OA(756, 66, F7, 37) (dual of [66, 10, 38]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 18 | Linear OA(753, 63, F7, 35) (dual of [63, 10, 36]-code) | [i] | ||
| 19 | Linear OA(737, 64, F7, 19) (dual of [64, 27, 20]-code) | [i] | ||
| 20 | Linear OA(785, 95, F7, 60) (dual of [95, 10, 61]-code) | [i] | Construction X with Varšamov Bound | |
| 21 | Linear OA(786, 96, F7, 61) (dual of [96, 10, 62]-code) | [i] | ||
| 22 | Linear OA(787, 97, F7, 62) (dual of [97, 10, 63]-code) | [i] | ||
| 23 | Linear OA(793, 103, F7, 66) (dual of [103, 10, 67]-code) | [i] | ||
| 24 | Linear OA(794, 104, F7, 67) (dual of [104, 10, 68]-code) | [i] | ||
| 25 | Linear OA(795, 105, F7, 68) (dual of [105, 10, 69]-code) | [i] | ||
| 26 | Linear OA(7101, 111, F7, 72) (dual of [111, 10, 73]-code) | [i] | ||
| 27 | Linear OA(7102, 112, F7, 73) (dual of [112, 10, 74]-code) | [i] | ||
| 28 | Linear OA(7103, 113, F7, 74) (dual of [113, 10, 75]-code) | [i] | ||
| 29 | Linear OA(7106, 116, F7, 76) (dual of [116, 10, 77]-code) | [i] | ||
| 30 | Linear OA(7107, 117, F7, 77) (dual of [117, 10, 78]-code) | [i] | ||
| 31 | Linear OA(793, 105, F7, 65) (dual of [105, 12, 66]-code) | [i] | ||
| 32 | Linear OA(796, 107, F7, 68) (dual of [107, 11, 69]-code) | [i] | ||
| 33 | Linear OA(796, 108, F7, 67) (dual of [108, 12, 68]-code) | [i] | ||
| 34 | Linear OA(797, 109, F7, 68) (dual of [109, 12, 69]-code) | [i] | ||
| 35 | Linear OA(795, 109, F7, 65) (dual of [109, 14, 66]-code) | [i] | ||