Information on Result #610835
Linear OA(710, 20, F7, 8) (dual of [20, 10, 9]-code), using extended quadratic residue code Qe(20,7)
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(79, 19, F7, 7) (dual of [19, 10, 8]-code) | [i] | Truncation | |
| 2 | Linear OA(781, 16828, F7, 17) (dual of [16828, 16747, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(795, 117670, F7, 17) (dual of [117670, 117575, 18]-code) | [i] | ||
| 4 | Linear OA(7109, 823564, F7, 17) (dual of [823564, 823455, 18]-code) | [i] | ||
| 5 | Linear OA(776, 16827, F7, 16) (dual of [16827, 16751, 17]-code) | [i] | ||
| 6 | Linear OA(789, 117669, F7, 16) (dual of [117669, 117580, 17]-code) | [i] | ||
| 7 | Linear OA(7102, 823563, F7, 16) (dual of [823563, 823461, 17]-code) | [i] | ||
| 8 | Linear OA(760, 69, F7, 42) (dual of [69, 9, 43]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(759, 67, F7, 42) (dual of [67, 8, 43]-code) | [i] | ||
| 10 | Linear OA(767, 74, F7, 49) (dual of [74, 7, 50]-code) | [i] | ||
| 11 | Linear OA(775, 80, F7, 57) (dual of [80, 5, 58]-code) | [i] | ||
| 12 | Linear OA(760, 64, F7, 50) (dual of [64, 4, 51]-code) | [i] | ||
| 13 | Linear OA(7110, 114, F7, 92) (dual of [114, 4, 93]-code) | [i] | ||
| 14 | Linear OA(756, 68, F7, 36) (dual of [68, 12, 37]-code) | [i] | Construction X with Cyclic Codes | |
| 15 | Linear OA(756, 64, F7, 41) (dual of [64, 8, 42]-code) | [i] | ||
| 16 | Linear OA(755, 65, F7, 36) (dual of [65, 10, 37]-code) | [i] | ||
| 17 | Linear OA(753, 67, F7, 34) (dual of [67, 14, 35]-code) | [i] | ||
| 18 | Linear OA(751, 66, F7, 33) (dual of [66, 15, 34]-code) | [i] | ||
| 19 | Linear OA(755, 64, F7, 40) (dual of [64, 9, 41]-code) | [i] | ||
| 20 | Linear OA(754, 65, F7, 35) (dual of [65, 11, 36]-code) | [i] | ||
| 21 | Linear OA(750, 66, F7, 32) (dual of [66, 16, 33]-code) | [i] | ||
| 22 | Linear OA(766, 73, F7, 49) (dual of [73, 7, 50]-code) | [i] | ||
| 23 | Linear OA(759, 68, F7, 42) (dual of [68, 9, 43]-code) | [i] | ||
| 24 | Linear OA(751, 68, F7, 30) (dual of [68, 17, 31]-code) | [i] | ||
| 25 | Linear OA(742, 68, F7, 22) (dual of [68, 26, 23]-code) | [i] | ||
| 26 | Linear OA(749, 68, F7, 28) (dual of [68, 19, 29]-code) | [i] | ||
| 27 | Linear OA(749, 66, F7, 29) (dual of [66, 17, 30]-code) | [i] | ||
| 28 | Linear OA(754, 66, F7, 35) (dual of [66, 12, 36]-code) | [i] | ||
| 29 | Linear OA(780, 191, F7, 32) (dual of [191, 111, 33]-code) | [i] | ||
| 30 | Linear OA(756, 65, F7, 41) (dual of [65, 9, 42]-code) | [i] | Construction XX with Cyclic Codes | |
| 31 | Linear OA(755, 68, F7, 35) (dual of [68, 13, 36]-code) | [i] | ||
| 32 | Linear OA(755, 66, F7, 36) (dual of [66, 11, 37]-code) | [i] | ||
| 33 | Linear OA(753, 68, F7, 34) (dual of [68, 15, 35]-code) | [i] | ||
| 34 | Linear OA(751, 67, F7, 33) (dual of [67, 16, 34]-code) | [i] | ||
| 35 | Linear OA(747, 72, F7, 26) (dual of [72, 25, 27]-code) | [i] | ||
| 36 | Linear OA(746, 70, F7, 26) (dual of [70, 24, 27]-code) | [i] | ||
| 37 | Linear OA(749, 72, F7, 27) (dual of [72, 23, 28]-code) | [i] | ||
| 38 | Linear OA(748, 70, F7, 27) (dual of [70, 22, 28]-code) | [i] | ||
| 39 | Linear OA(750, 75, F7, 27) (dual of [75, 25, 28]-code) | [i] | ||
| 40 | Linear OA(749, 73, F7, 27) (dual of [73, 24, 28]-code) | [i] | ||
| 41 | Linear OA(752, 75, F7, 28) (dual of [75, 23, 29]-code) | [i] | ||
| 42 | Linear OA(751, 73, F7, 28) (dual of [73, 22, 29]-code) | [i] | ||
| 43 | Linear OA(750, 70, F7, 28) (dual of [70, 20, 29]-code) | [i] | ||
| 44 | Linear OA(752, 76, F7, 28) (dual of [76, 24, 29]-code) | [i] | ||
| 45 | Linear OA(752, 73, F7, 29) (dual of [73, 21, 30]-code) | [i] | ||
| 46 | Linear OA(756, 71, F7, 35) (dual of [71, 15, 36]-code) | [i] | ||
| 47 | Linear OA(755, 69, F7, 35) (dual of [69, 14, 36]-code) | [i] | ||
| 48 | Linear OA(757, 73, F7, 35) (dual of [73, 16, 36]-code) | [i] | ||
| 49 | Linear OA(757, 71, F7, 36) (dual of [71, 14, 37]-code) | [i] | ||
| 50 | Linear OA(758, 73, F7, 36) (dual of [73, 15, 37]-code) | [i] | ||
| 51 | Linear OA(762, 72, F7, 42) (dual of [72, 10, 43]-code) | [i] | ||
| 52 | Linear OA(747, 76, F7, 24) (dual of [76, 29, 25]-code) | [i] | ||
| 53 | Linear OA(746, 73, F7, 24) (dual of [73, 27, 25]-code) | [i] | ||
| 54 | Linear OA(748, 75, F7, 25) (dual of [75, 27, 26]-code) | [i] | ||
| 55 | Linear OA(755, 74, F7, 32) (dual of [74, 19, 33]-code) | [i] | ||
| 56 | Linear OA(758, 75, F7, 34) (dual of [75, 17, 35]-code) | [i] | ||
| 57 | Linear OA(766, 82, F7, 40) (dual of [82, 16, 41]-code) | [i] | ||
| 58 | Linear OA(765, 80, F7, 40) (dual of [80, 15, 41]-code) | [i] | ||
| 59 | Linear OA(764, 78, F7, 40) (dual of [78, 14, 41]-code) | [i] | ||
| 60 | Linear OA(761, 73, F7, 40) (dual of [73, 12, 41]-code) | [i] | ||
| 61 | Linear OA(767, 82, F7, 41) (dual of [82, 15, 42]-code) | [i] | ||
| 62 | Linear OA(767, 82, F7, 41) (dual of [82, 15, 42]-code) | [i] | ||
| 63 | Linear OA(765, 78, F7, 41) (dual of [78, 13, 42]-code) | [i] | ||
| 64 | Linear OA(781, 194, F7, 32) (dual of [194, 113, 33]-code) | [i] | ||
| 65 | Linear OA(783, 194, F7, 33) (dual of [194, 111, 34]-code) | [i] | ||
| 66 | Linear OA(787, 198, F7, 34) (dual of [198, 111, 35]-code) | [i] | ||
| 67 | Linear OA(756, 69, F7, 35) (dual of [69, 13, 36]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 68 | Linear OA(754, 69, F7, 34) (dual of [69, 15, 35]-code) | [i] | ||
| 69 | Linear OA(758, 67, F7, 41) (dual of [67, 9, 42]-code) | [i] | ||
| 70 | Linear OA(761, 72, F7, 40) (dual of [72, 11, 41]-code) | [i] | ||
| 71 | Linear OA(753, 69, F7, 33) (dual of [69, 16, 34]-code) | [i] | ||
| 72 | Linear OA(757, 66, F7, 41) (dual of [66, 9, 42]-code) | [i] | ||
| 73 | Linear OA(752, 68, F7, 33) (dual of [68, 16, 34]-code) | [i] | ||
| 74 | Linear OA(783, 192, F7, 33) (dual of [192, 109, 34]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 75 | Linear OA(758, 66, F7, 42) (dual of [66, 8, 43]-code) | [i] | ||
| 76 | Linear OA(750, 68, F7, 29) (dual of [68, 18, 30]-code) | [i] | ||
| 77 | Linear OA(750, 69, F7, 28) (dual of [69, 19, 29]-code) | [i] | ||
| 78 | Linear OA(748, 69, F7, 27) (dual of [69, 21, 28]-code) | [i] | ||
| 79 | Linear OA(746, 69, F7, 26) (dual of [69, 23, 27]-code) | [i] | ||
| 80 | Linear OA(744, 69, F7, 25) (dual of [69, 25, 26]-code) | [i] | ||
| 81 | Linear OA(743, 69, F7, 22) (dual of [69, 26, 23]-code) | [i] | ||
| 82 | Linear OA(760, 68, F7, 43) (dual of [68, 8, 44]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 83 | Linear OA(762, 73, F7, 41) (dual of [73, 11, 42]-code) | [i] | ||
| 84 | Linear OA(761, 71, F7, 41) (dual of [71, 10, 42]-code) | [i] | ||
| 85 | Linear OA(764, 77, F7, 40) (dual of [77, 13, 41]-code) | [i] | ||
| 86 | Linear OA(763, 76, F7, 40) (dual of [76, 13, 41]-code) | [i] | ||
| 87 | Linear OA(757, 70, F7, 36) (dual of [70, 13, 37]-code) | [i] | ||
| 88 | Linear OA(756, 70, F7, 35) (dual of [70, 14, 36]-code) | [i] | ||
| 89 | Linear OA(754, 70, F7, 34) (dual of [70, 16, 35]-code) | [i] | ||
| 90 | Linear OA(756, 74, F7, 33) (dual of [74, 18, 34]-code) | [i] | ||
| 91 | Linear OA(755, 72, F7, 33) (dual of [72, 17, 34]-code) | [i] | ||
| 92 | Linear OA(751, 70, F7, 29) (dual of [70, 19, 30]-code) | [i] | ||
| 93 | Linear OOA(710, 10, F7, 2, 8) (dual of [(10, 2), 10, 9]-NRT-code) | [i] | OOA Folding | |