Information on Result #609756
Linear OA(73, 8, F7, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,7) or 8-cap in PG(2,7)), using oval in PG(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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(721, 350, F7, 7) (dual of [350, 329, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(733, 16814, F7, 7) (dual of [16814, 16781, 8]-code) | [i] | ||
| 3 | Linear OA(741, 235308, F7, 7) (dual of [235308, 235267, 8]-code) | [i] | ||
| 4 | Linear OA(745, 823550, F7, 7) (dual of [823550, 823505, 8]-code) | [i] | ||
| 5 | Linear OA(719, 351, F7, 6) (dual of [351, 332, 7]-code) | [i] | ||
| 6 | Linear OA(729, 16815, F7, 6) (dual of [16815, 16786, 7]-code) | [i] | ||
| 7 | Linear OA(735, 235306, F7, 6) (dual of [235306, 235271, 7]-code) | [i] | ||
| 8 | Linear OA(739, 823551, F7, 6) (dual of [823551, 823512, 7]-code) | [i] | ||
| 9 | Linear OA(742, 56, F7, 27) (dual of [56, 14, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(744, 59, F7, 26) (dual of [59, 15, 27]-code) | [i] | ||
| 11 | Linear OA(734, 56, F7, 19) (dual of [56, 22, 20]-code) | [i] | ||
| 12 | Linear OA(734, 56, F7, 19) (dual of [56, 22, 20]-code) | [i] | ||
| 13 | Linear OA(737, 60, F7, 19) (dual of [60, 23, 20]-code) | [i] | ||
| 14 | Linear OA(737, 60, F7, 19) (dual of [60, 23, 20]-code) | [i] | ||
| 15 | Linear OA(768, 73, F7, 52) (dual of [73, 5, 53]-code) | [i] | Juxtaposition | |
| 16 | Linear OA(754, 16823, F7, 11) (dual of [16823, 16769, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(772, 823559, F7, 11) (dual of [823559, 823487, 12]-code) | [i] | ||
| 18 | Linear OA(781, 5764817, F7, 11) (dual of [5764817, 5764736, 12]-code) | [i] | ||
| 19 | Linear OA(735, 16822, F7, 7) (dual of [16822, 16787, 8]-code) | [i] | ||
| 20 | Linear OA(747, 823558, F7, 7) (dual of [823558, 823511, 8]-code) | [i] | ||
| 21 | Linear OA(7100, 5764810, F7, 15) (dual of [5764810, 5764710, 16]-code) | [i] | Construction X with Cyclic Codes | |
| 22 | Linear OA(788, 823552, F7, 15) (dual of [823552, 823464, 16]-code) | [i] | ||
| 23 | Linear OA(776, 117658, F7, 15) (dual of [117658, 117582, 16]-code) | [i] | ||
| 24 | Linear OA(764, 16816, F7, 15) (dual of [16816, 16752, 16]-code) | [i] | ||
| 25 | Linear OA(7100, 2410, F7, 29) (dual of [2410, 2310, 30]-code) | [i] | ||
| 26 | Linear OA(752, 2410, F7, 15) (dual of [2410, 2358, 16]-code) | [i] | ||
| 27 | Linear OA(776, 352, F7, 29) (dual of [352, 276, 30]-code) | [i] | ||
| 28 | Linear OA(740, 352, F7, 15) (dual of [352, 312, 16]-code) | [i] | ||
| 29 | Linear OA(748, 56, F7, 36) (dual of [56, 8, 37]-code) | [i] | ||
| 30 | Linear OA(743, 56, F7, 29) (dual of [56, 13, 30]-code) | [i] | ||
| 31 | Linear OA(747, 56, F7, 35) (dual of [56, 9, 36]-code) | [i] | ||
| 32 | Linear OA(736, 58, F7, 21) (dual of [58, 22, 22]-code) | [i] | ||
| 33 | Linear OA(753, 122, F7, 24) (dual of [122, 69, 25]-code) | [i] | ||
| 34 | Linear OA(768, 122, F7, 31) (dual of [122, 54, 32]-code) | [i] | ||
| 35 | Linear OA(719, 58, F7, 10) (dual of [58, 39, 11]-code) | [i] | Construction XX with Cyclic Codes | |
| 36 | Linear OA(757, 73, F7, 35) (dual of [73, 16, 36]-code) | [i] | ||
| 37 | Linear OA(758, 73, F7, 36) (dual of [73, 15, 37]-code) | [i] | ||
| 38 | Linear OA(753, 64, F7, 35) (dual of [64, 11, 36]-code) | [i] | ||
| 39 | Linear OA(752, 63, F7, 35) (dual of [63, 11, 36]-code) | [i] | ||
| 40 | Linear OA(761, 70, F7, 43) (dual of [70, 9, 44]-code) | [i] | ||
| 41 | Linear OA(758, 128, F7, 25) (dual of [128, 70, 26]-code) | [i] | ||
| 42 | Linear OA(757, 126, F7, 25) (dual of [126, 69, 26]-code) | [i] | ||
| 43 | Linear OA(759, 125, F7, 26) (dual of [125, 66, 27]-code) | [i] | ||
| 44 | Linear OA(776, 182, F7, 33) (dual of [182, 106, 34]-code) | [i] | ||
| 45 | Linear OA(779, 182, F7, 34) (dual of [182, 103, 35]-code) | [i] | ||
| 46 | Linear OA(783, 186, F7, 35) (dual of [186, 103, 36]-code) | [i] | ||
| 47 | Linear OA(786, 192, F7, 36) (dual of [192, 106, 37]-code) | [i] | ||
| 48 | Linear OA(784, 187, F7, 36) (dual of [187, 103, 37]-code) | [i] | ||
| 49 | Linear OA(787, 187, F7, 37) (dual of [187, 100, 38]-code) | [i] | ||
| 50 | Linear OA(785, 182, F7, 37) (dual of [182, 97, 38]-code) | [i] | ||
| 51 | Linear OA(790, 187, F7, 39) (dual of [187, 97, 40]-code) | [i] | ||
| 52 | Linear OA(789, 183, F7, 39) (dual of [183, 94, 40]-code) | [i] | ||
| 53 | Linear OA(793, 187, F7, 40) (dual of [187, 94, 41]-code) | [i] | ||
| 54 | Linear OA(791, 182, F7, 40) (dual of [182, 91, 41]-code) | [i] | ||
| 55 | Linear OA(794, 182, F7, 41) (dual of [182, 88, 42]-code) | [i] | ||
| 56 | Linear OA(798, 186, F7, 42) (dual of [186, 88, 43]-code) | [i] | ||
| 57 | Linear OA(7101, 192, F7, 43) (dual of [192, 91, 44]-code) | [i] | ||
| 58 | Linear OA(799, 187, F7, 43) (dual of [187, 88, 44]-code) | [i] | ||
| 59 | Linear OA(7102, 187, F7, 44) (dual of [187, 85, 45]-code) | [i] | ||
| 60 | Linear OA(7100, 182, F7, 44) (dual of [182, 82, 45]-code) | [i] | ||
| 61 | Linear OA(7105, 187, F7, 46) (dual of [187, 82, 47]-code) | [i] | ||
| 62 | Linear OA(7104, 183, F7, 46) (dual of [183, 79, 47]-code) | [i] | ||
| 63 | Linear OA(7108, 187, F7, 47) (dual of [187, 79, 48]-code) | [i] | ||
| 64 | Linear OA(7106, 182, F7, 47) (dual of [182, 76, 48]-code) | [i] | ||
| 65 | Linear OA(7109, 182, F7, 48) (dual of [182, 73, 49]-code) | [i] | ||
| 66 | Linear OA(725, 353, F7, 9) (dual of [353, 328, 10]-code) | [i] | ||
| 67 | Linear OA(729, 357, F7, 10) (dual of [357, 328, 11]-code) | [i] | ||
| 68 | Linear OA(732, 357, F7, 11) (dual of [357, 325, 12]-code) | [i] | ||
| 69 | Linear OA(743, 353, F7, 16) (dual of [353, 310, 17]-code) | [i] | ||
| 70 | Linear OA(761, 353, F7, 23) (dual of [353, 292, 24]-code) | [i] | ||
| 71 | Linear OA(779, 353, F7, 30) (dual of [353, 274, 31]-code) | [i] | ||
| 72 | Linear OA(797, 353, F7, 37) (dual of [353, 256, 38]-code) | [i] | ||
| 73 | Linear OA(749, 57, F7, 37) (dual of [57, 8, 38]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 74 | Linear OA(744, 57, F7, 30) (dual of [57, 13, 31]-code) | [i] | ||
| 75 | Linear OA(748, 57, F7, 36) (dual of [57, 9, 37]-code) | [i] | ||
| 76 | Linear OA(743, 57, F7, 29) (dual of [57, 14, 30]-code) | [i] | ||
| 77 | Linear OA(767, 180, F7, 27) (dual of [180, 113, 28]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 78 | Linear OA(746, 123, F7, 19) (dual of [123, 77, 20]-code) | [i] | ||
| 79 | Linear OA(736, 57, F7, 22) (dual of [57, 21, 23]-code) | [i] | ||
| 80 | Linear OA(727, 57, F7, 15) (dual of [57, 30, 16]-code) | [i] | ||
| 81 | Linear OA(719, 57, F7, 10) (dual of [57, 38, 11]-code) | [i] | ||
| 82 | Linear OA(717, 57, F7, 9) (dual of [57, 40, 10]-code) | [i] | ||
| 83 | Linear OA(748, 124, F7, 20) (dual of [124, 76, 21]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 84 | Linear OA(798, 107, F7, 70) (dual of [107, 9, 71]-code) | [i] | ||
| 85 | Linear OA(749, 58, F7, 37) (dual of [58, 9, 38]-code) | [i] | ||
| 86 | Linear OA(744, 58, F7, 30) (dual of [58, 14, 31]-code) | [i] | ||
| 87 | Linear OA(737, 58, F7, 23) (dual of [58, 21, 24]-code) | [i] | ||
| 88 | Linear OA(728, 58, F7, 16) (dual of [58, 30, 17]-code) | [i] | ||