Information on Result #2247305
Linear OA(79, 19, F7, 7) (dual of [19, 10, 8]-code), using 1 times truncation based on linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using
- extended quadratic residue code Qe(20,7) [i]
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(770, 16827, F7, 15) (dual of [16827, 16757, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(782, 117669, F7, 15) (dual of [117669, 117587, 16]-code) | [i] | ||
| 3 | Linear OA(794, 823563, F7, 15) (dual of [823563, 823469, 16]-code) | [i] | ||
| 4 | Linear OA(7106, 5764821, F7, 15) (dual of [5764821, 5764715, 16]-code) | [i] | ||
| 5 | Linear OA(759, 68, F7, 41) (dual of [68, 9, 42]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(758, 66, F7, 41) (dual of [66, 8, 42]-code) | [i] | ||
| 7 | Linear OA(766, 73, F7, 48) (dual of [73, 7, 49]-code) | [i] | ||
| 8 | Linear OA(774, 79, F7, 56) (dual of [79, 5, 57]-code) | [i] | ||
| 9 | Linear OA(759, 63, F7, 49) (dual of [63, 4, 50]-code) | [i] | ||
| 10 | Linear OA(7109, 113, F7, 91) (dual of [113, 4, 92]-code) | [i] | ||
| 11 | Linear OA(754, 62, F7, 40) (dual of [62, 8, 41]-code) | [i] | Construction X with Cyclic Codes | |
| 12 | Linear OA(752, 64, F7, 34) (dual of [64, 12, 35]-code) | [i] | ||
| 13 | Linear OA(750, 64, F7, 33) (dual of [64, 14, 34]-code) | [i] | ||
| 14 | Linear OA(749, 64, F7, 32) (dual of [64, 15, 33]-code) | [i] | ||
| 15 | Linear OA(753, 62, F7, 39) (dual of [62, 9, 40]-code) | [i] | ||
| 16 | Linear OA(748, 64, F7, 31) (dual of [64, 16, 32]-code) | [i] | ||
| 17 | Linear OA(756, 75, F7, 32) (dual of [75, 19, 33]-code) | [i] | ||
| 18 | Linear OA(747, 73, F7, 24) (dual of [73, 26, 25]-code) | [i] | ||
| 19 | Linear OA(779, 189, F7, 32) (dual of [189, 110, 33]-code) | [i] | ||
| 20 | Linear OA(755, 63, F7, 41) (dual of [63, 8, 42]-code) | [i] | Construction XX with Cyclic Codes | |
| 21 | Linear OA(754, 63, F7, 40) (dual of [63, 9, 41]-code) | [i] | ||
| 22 | Linear OA(752, 65, F7, 34) (dual of [65, 13, 35]-code) | [i] | ||
| 23 | Linear OA(750, 65, F7, 33) (dual of [65, 15, 34]-code) | [i] | ||
| 24 | Linear OA(749, 65, F7, 32) (dual of [65, 16, 33]-code) | [i] | ||
| 25 | Linear OA(745, 68, F7, 26) (dual of [68, 23, 27]-code) | [i] | ||
| 26 | Linear OA(748, 71, F7, 27) (dual of [71, 23, 28]-code) | [i] | ||
| 27 | Linear OA(747, 68, F7, 27) (dual of [68, 21, 28]-code) | [i] | ||
| 28 | Linear OA(750, 71, F7, 28) (dual of [71, 21, 29]-code) | [i] | ||
| 29 | Linear OA(751, 74, F7, 28) (dual of [74, 23, 29]-code) | [i] | ||
| 30 | Linear OA(752, 66, F7, 34) (dual of [66, 14, 35]-code) | [i] | ||
| 31 | Linear OA(745, 74, F7, 23) (dual of [74, 29, 24]-code) | [i] | ||
| 32 | Linear OA(744, 71, F7, 23) (dual of [71, 27, 24]-code) | [i] | ||
| 33 | Linear OA(746, 74, F7, 24) (dual of [74, 28, 25]-code) | [i] | ||
| 34 | Linear OA(749, 77, F7, 25) (dual of [77, 28, 26]-code) | [i] | ||
| 35 | Linear OA(747, 73, F7, 25) (dual of [73, 26, 26]-code) | [i] | ||
| 36 | Linear OA(754, 74, F7, 31) (dual of [74, 20, 32]-code) | [i] | ||
| 37 | Linear OA(752, 72, F7, 30) (dual of [72, 20, 31]-code) | [i] | ||
| 38 | Linear OA(753, 72, F7, 31) (dual of [72, 19, 32]-code) | [i] | ||
| 39 | Linear OA(752, 70, F7, 31) (dual of [70, 18, 32]-code) | [i] | ||
| 40 | Linear OA(764, 80, F7, 39) (dual of [80, 16, 40]-code) | [i] | ||
| 41 | Linear OA(764, 80, F7, 39) (dual of [80, 16, 40]-code) | [i] | ||
| 42 | Linear OA(759, 72, F7, 38) (dual of [72, 13, 39]-code) | [i] | ||
| 43 | Linear OA(757, 70, F7, 37) (dual of [70, 13, 38]-code) | [i] | ||
| 44 | Linear OA(766, 82, F7, 40) (dual of [82, 16, 41]-code) | [i] | ||
| 45 | Linear OA(765, 80, F7, 40) (dual of [80, 15, 41]-code) | [i] | ||
| 46 | Linear OA(764, 78, F7, 40) (dual of [78, 14, 41]-code) | [i] | ||
| 47 | Linear OA(759, 71, F7, 39) (dual of [71, 12, 40]-code) | [i] | ||
| 48 | Linear OA(758, 69, F7, 39) (dual of [69, 11, 40]-code) | [i] | ||
| 49 | Linear OA(765, 78, F7, 41) (dual of [78, 13, 42]-code) | [i] | ||
| 50 | Linear OA(761, 70, F7, 43) (dual of [70, 9, 44]-code) | [i] | ||
| 51 | Linear OA(761, 69, F7, 44) (dual of [69, 8, 45]-code) | [i] | ||
| 52 | Linear OA(762, 70, F7, 45) (dual of [70, 8, 46]-code) | [i] | ||
| 53 | Linear OA(784, 198, F7, 33) (dual of [198, 114, 34]-code) | [i] | ||
| 54 | Linear OA(760, 70, F7, 40) (dual of [70, 10, 41]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 55 | Linear OA(759, 70, F7, 39) (dual of [70, 11, 40]-code) | [i] | ||
| 56 | Linear OA(758, 68, F7, 39) (dual of [68, 10, 40]-code) | [i] | ||
| 57 | Linear OA(747, 67, F7, 27) (dual of [67, 20, 28]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 58 | Linear OA(745, 67, F7, 26) (dual of [67, 22, 27]-code) | [i] | ||
| 59 | Linear OA(743, 67, F7, 25) (dual of [67, 24, 26]-code) | [i] | ||
| 60 | Linear OA(742, 67, F7, 24) (dual of [67, 25, 25]-code) | [i] | ||
| 61 | Linear OA(763, 74, F7, 41) (dual of [74, 11, 42]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 62 | Linear OA(760, 71, F7, 40) (dual of [71, 11, 41]-code) | [i] | ||
| 63 | Linear OA(754, 72, F7, 32) (dual of [72, 18, 33]-code) | [i] | ||
| 64 | Linear OA(753, 70, F7, 32) (dual of [70, 17, 33]-code) | [i] | ||
| 65 | Linear OA(745, 71, F7, 24) (dual of [71, 26, 25]-code) | [i] | ||