Information on Result #600314
Function Field F/F7 with g(F) = 1 and N(F) ≥ 13, using sharp bound on the number of rational points on curves with genus 1
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 (1, 12)-sequence over F7 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OOA(714, 13, F7, 2, 13) (dual of [(13, 2), 12, 14]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 3 | Linear OOA(715, 13, F7, 2, 14) (dual of [(13, 2), 11, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(716, 13, F7, 2, 15) (dual of [(13, 2), 10, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(717, 13, F7, 2, 16) (dual of [(13, 2), 9, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(718, 13, F7, 2, 17) (dual of [(13, 2), 8, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(719, 13, F7, 2, 18) (dual of [(13, 2), 7, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(720, 13, F7, 2, 19) (dual of [(13, 2), 6, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(721, 13, F7, 2, 20) (dual of [(13, 2), 5, 21]-NRT-code) | [i] | ||
| 10 | Linear OOA(722, 13, F7, 2, 21) (dual of [(13, 2), 4, 22]-NRT-code) | [i] | ||
| 11 | Linear OOA(723, 13, F7, 2, 22) (dual of [(13, 2), 3, 23]-NRT-code) | [i] | ||
| 12 | Linear OOA(714, 13, F7, 3, 13) (dual of [(13, 3), 25, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(715, 13, F7, 3, 14) (dual of [(13, 3), 24, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(716, 13, F7, 3, 15) (dual of [(13, 3), 23, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(717, 13, F7, 3, 16) (dual of [(13, 3), 22, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(718, 13, F7, 3, 17) (dual of [(13, 3), 21, 18]-NRT-code) | [i] | ||
| 17 | Linear OOA(719, 13, F7, 3, 18) (dual of [(13, 3), 20, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(720, 13, F7, 3, 19) (dual of [(13, 3), 19, 20]-NRT-code) | [i] | ||
| 19 | Linear OOA(721, 13, F7, 3, 20) (dual of [(13, 3), 18, 21]-NRT-code) | [i] | ||
| 20 | Linear OOA(722, 13, F7, 3, 21) (dual of [(13, 3), 17, 22]-NRT-code) | [i] | ||
| 21 | Linear OOA(723, 13, F7, 3, 22) (dual of [(13, 3), 16, 23]-NRT-code) | [i] | ||
| 22 | Linear OOA(724, 13, F7, 3, 23) (dual of [(13, 3), 15, 24]-NRT-code) | [i] | ||
| 23 | Linear OOA(725, 13, F7, 3, 24) (dual of [(13, 3), 14, 25]-NRT-code) | [i] | ||
| 24 | Linear OOA(726, 13, F7, 3, 25) (dual of [(13, 3), 13, 26]-NRT-code) | [i] | ||
| 25 | Linear OOA(727, 13, F7, 3, 26) (dual of [(13, 3), 12, 27]-NRT-code) | [i] | ||
| 26 | Linear OOA(728, 13, F7, 3, 27) (dual of [(13, 3), 11, 28]-NRT-code) | [i] | ||
| 27 | Linear OOA(729, 13, F7, 3, 28) (dual of [(13, 3), 10, 29]-NRT-code) | [i] | ||
| 28 | Linear OOA(730, 13, F7, 3, 29) (dual of [(13, 3), 9, 30]-NRT-code) | [i] | ||
| 29 | Linear OOA(731, 13, F7, 3, 30) (dual of [(13, 3), 8, 31]-NRT-code) | [i] | ||
| 30 | Linear OOA(732, 13, F7, 3, 31) (dual of [(13, 3), 7, 32]-NRT-code) | [i] | ||
| 31 | Linear OOA(733, 13, F7, 3, 32) (dual of [(13, 3), 6, 33]-NRT-code) | [i] | ||
| 32 | Linear OOA(734, 13, F7, 3, 33) (dual of [(13, 3), 5, 34]-NRT-code) | [i] | ||
| 33 | Linear OOA(735, 13, F7, 3, 34) (dual of [(13, 3), 4, 35]-NRT-code) | [i] | ||
| 34 | Linear OOA(736, 13, F7, 3, 35) (dual of [(13, 3), 3, 36]-NRT-code) | [i] | ||