Information on Result #600329
Function Field F/F7 with g(F) = 3 and N(F) ≥ 20, using fields by Serre with genus 3 or 4
Mode: Linear.
Optimality
Compare with manYPoints (online database of function field parameters).
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (3, 19)-sequence over F7 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(713, 20, F7, 10) (dual of [20, 7, 11]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OOA(79, 20, F7, 2, 6) (dual of [(20, 2), 31, 7]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 4 | Linear OOA(710, 20, F7, 2, 7) (dual of [(20, 2), 30, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(711, 20, F7, 2, 8) (dual of [(20, 2), 29, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(712, 20, F7, 2, 9) (dual of [(20, 2), 28, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(713, 20, F7, 2, 10) (dual of [(20, 2), 27, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(714, 20, F7, 2, 11) (dual of [(20, 2), 26, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(715, 20, F7, 2, 12) (dual of [(20, 2), 25, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(716, 20, F7, 2, 13) (dual of [(20, 2), 24, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(717, 20, F7, 2, 14) (dual of [(20, 2), 23, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(718, 20, F7, 2, 15) (dual of [(20, 2), 22, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(719, 20, F7, 2, 16) (dual of [(20, 2), 21, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(720, 20, F7, 2, 17) (dual of [(20, 2), 20, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(721, 20, F7, 2, 18) (dual of [(20, 2), 19, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(722, 20, F7, 2, 19) (dual of [(20, 2), 18, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(723, 20, F7, 2, 20) (dual of [(20, 2), 17, 21]-NRT-code) | [i] | ||
| 18 | Linear OOA(724, 20, F7, 2, 21) (dual of [(20, 2), 16, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(725, 20, F7, 2, 22) (dual of [(20, 2), 15, 23]-NRT-code) | [i] | ||
| 20 | Linear OOA(726, 20, F7, 2, 23) (dual of [(20, 2), 14, 24]-NRT-code) | [i] | ||
| 21 | Linear OOA(727, 20, F7, 2, 24) (dual of [(20, 2), 13, 25]-NRT-code) | [i] | ||
| 22 | Linear OOA(728, 20, F7, 2, 25) (dual of [(20, 2), 12, 26]-NRT-code) | [i] | ||
| 23 | Linear OOA(729, 20, F7, 2, 26) (dual of [(20, 2), 11, 27]-NRT-code) | [i] | ||
| 24 | Linear OOA(730, 20, F7, 2, 27) (dual of [(20, 2), 10, 28]-NRT-code) | [i] | ||
| 25 | Linear OOA(731, 20, F7, 2, 28) (dual of [(20, 2), 9, 29]-NRT-code) | [i] | ||
| 26 | Linear OOA(732, 20, F7, 2, 29) (dual of [(20, 2), 8, 30]-NRT-code) | [i] | ||
| 27 | Linear OOA(733, 20, F7, 2, 30) (dual of [(20, 2), 7, 31]-NRT-code) | [i] | ||
| 28 | Linear OOA(734, 20, F7, 2, 31) (dual of [(20, 2), 6, 32]-NRT-code) | [i] | ||
| 29 | Linear OOA(735, 20, F7, 2, 32) (dual of [(20, 2), 5, 33]-NRT-code) | [i] | ||
| 30 | Linear OOA(736, 20, F7, 2, 33) (dual of [(20, 2), 4, 34]-NRT-code) | [i] | ||
| 31 | Linear OOA(737, 20, F7, 2, 34) (dual of [(20, 2), 3, 35]-NRT-code) | [i] | ||
| 32 | Linear OOA(79, 20, F7, 3, 6) (dual of [(20, 3), 51, 7]-NRT-code) | [i] | ||
| 33 | Linear OOA(710, 20, F7, 3, 7) (dual of [(20, 3), 50, 8]-NRT-code) | [i] | ||
| 34 | Linear OOA(711, 20, F7, 3, 8) (dual of [(20, 3), 49, 9]-NRT-code) | [i] | ||
| 35 | Linear OOA(712, 20, F7, 3, 9) (dual of [(20, 3), 48, 10]-NRT-code) | [i] | ||
| 36 | Linear OOA(713, 20, F7, 3, 10) (dual of [(20, 3), 47, 11]-NRT-code) | [i] | ||
| 37 | Linear OOA(714, 20, F7, 3, 11) (dual of [(20, 3), 46, 12]-NRT-code) | [i] | ||
| 38 | Linear OOA(715, 20, F7, 3, 12) (dual of [(20, 3), 45, 13]-NRT-code) | [i] | ||
| 39 | Linear OOA(716, 20, F7, 3, 13) (dual of [(20, 3), 44, 14]-NRT-code) | [i] | ||
| 40 | Linear OOA(717, 20, F7, 3, 14) (dual of [(20, 3), 43, 15]-NRT-code) | [i] | ||
| 41 | Linear OOA(718, 20, F7, 3, 15) (dual of [(20, 3), 42, 16]-NRT-code) | [i] | ||
| 42 | Linear OOA(719, 20, F7, 3, 16) (dual of [(20, 3), 41, 17]-NRT-code) | [i] | ||
| 43 | Linear OOA(720, 20, F7, 3, 17) (dual of [(20, 3), 40, 18]-NRT-code) | [i] | ||
| 44 | Linear OOA(721, 20, F7, 3, 18) (dual of [(20, 3), 39, 19]-NRT-code) | [i] | ||
| 45 | Linear OOA(722, 20, F7, 3, 19) (dual of [(20, 3), 38, 20]-NRT-code) | [i] | ||
| 46 | Linear OOA(723, 20, F7, 3, 20) (dual of [(20, 3), 37, 21]-NRT-code) | [i] | ||
| 47 | Linear OOA(724, 20, F7, 3, 21) (dual of [(20, 3), 36, 22]-NRT-code) | [i] | ||
| 48 | Linear OOA(725, 20, F7, 3, 22) (dual of [(20, 3), 35, 23]-NRT-code) | [i] | ||
| 49 | Linear OOA(726, 20, F7, 3, 23) (dual of [(20, 3), 34, 24]-NRT-code) | [i] | ||
| 50 | Linear OOA(727, 20, F7, 3, 24) (dual of [(20, 3), 33, 25]-NRT-code) | [i] | ||
| 51 | Linear OOA(728, 20, F7, 3, 25) (dual of [(20, 3), 32, 26]-NRT-code) | [i] | ||
| 52 | Linear OOA(729, 20, F7, 3, 26) (dual of [(20, 3), 31, 27]-NRT-code) | [i] | ||
| 53 | Linear OOA(730, 20, F7, 3, 27) (dual of [(20, 3), 30, 28]-NRT-code) | [i] | ||
| 54 | Linear OOA(731, 20, F7, 3, 28) (dual of [(20, 3), 29, 29]-NRT-code) | [i] | ||
| 55 | Linear OOA(732, 20, F7, 3, 29) (dual of [(20, 3), 28, 30]-NRT-code) | [i] | ||
| 56 | Linear OOA(733, 20, F7, 3, 30) (dual of [(20, 3), 27, 31]-NRT-code) | [i] | ||
| 57 | Linear OOA(734, 20, F7, 3, 31) (dual of [(20, 3), 26, 32]-NRT-code) | [i] | ||
| 58 | Linear OOA(735, 20, F7, 3, 32) (dual of [(20, 3), 25, 33]-NRT-code) | [i] | ||
| 59 | Linear OOA(736, 20, F7, 3, 33) (dual of [(20, 3), 24, 34]-NRT-code) | [i] | ||
| 60 | Linear OOA(737, 20, F7, 3, 34) (dual of [(20, 3), 23, 35]-NRT-code) | [i] | ||
| 61 | Linear OOA(738, 20, F7, 3, 35) (dual of [(20, 3), 22, 36]-NRT-code) | [i] | ||
| 62 | Linear OOA(739, 20, F7, 3, 36) (dual of [(20, 3), 21, 37]-NRT-code) | [i] | ||
| 63 | Linear OOA(740, 20, F7, 3, 37) (dual of [(20, 3), 20, 38]-NRT-code) | [i] | ||
| 64 | Linear OOA(741, 20, F7, 3, 38) (dual of [(20, 3), 19, 39]-NRT-code) | [i] | ||
| 65 | Linear OOA(742, 20, F7, 3, 39) (dual of [(20, 3), 18, 40]-NRT-code) | [i] | ||
| 66 | Linear OOA(743, 20, F7, 3, 40) (dual of [(20, 3), 17, 41]-NRT-code) | [i] | ||
| 67 | Linear OOA(744, 20, F7, 3, 41) (dual of [(20, 3), 16, 42]-NRT-code) | [i] | ||
| 68 | Linear OOA(745, 20, F7, 3, 42) (dual of [(20, 3), 15, 43]-NRT-code) | [i] | ||
| 69 | Linear OOA(746, 20, F7, 3, 43) (dual of [(20, 3), 14, 44]-NRT-code) | [i] | ||
| 70 | Linear OOA(747, 20, F7, 3, 44) (dual of [(20, 3), 13, 45]-NRT-code) | [i] | ||
| 71 | Linear OOA(748, 20, F7, 3, 45) (dual of [(20, 3), 12, 46]-NRT-code) | [i] | ||
| 72 | Linear OOA(749, 20, F7, 3, 46) (dual of [(20, 3), 11, 47]-NRT-code) | [i] | ||
| 73 | Linear OOA(750, 20, F7, 3, 47) (dual of [(20, 3), 10, 48]-NRT-code) | [i] | ||
| 74 | Linear OOA(751, 20, F7, 3, 48) (dual of [(20, 3), 9, 49]-NRT-code) | [i] | ||
| 75 | Linear OOA(752, 20, F7, 3, 49) (dual of [(20, 3), 8, 50]-NRT-code) | [i] | ||
| 76 | Linear OOA(753, 20, F7, 3, 50) (dual of [(20, 3), 7, 51]-NRT-code) | [i] | ||
| 77 | Linear OOA(754, 20, F7, 3, 51) (dual of [(20, 3), 6, 52]-NRT-code) | [i] | ||
| 78 | Linear OOA(755, 20, F7, 3, 52) (dual of [(20, 3), 5, 53]-NRT-code) | [i] | ||
| 79 | Linear OOA(756, 20, F7, 3, 53) (dual of [(20, 3), 4, 54]-NRT-code) | [i] | ||
| 80 | Linear OOA(757, 20, F7, 3, 54) (dual of [(20, 3), 3, 55]-NRT-code) | [i] | ||