Information on Result #600315
Function Field F/F16 with g(F) = 1 and N(F) ≥ 25, 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, 24)-sequence over F16 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(165, 25, F16, 4) (dual of [25, 20, 5]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OA(166, 25, F16, 5) (dual of [25, 19, 6]-code) | [i] | ||
| 4 | Linear OA(167, 25, F16, 6) (dual of [25, 18, 7]-code) | [i] | ||
| 5 | Linear OA(168, 25, F16, 7) (dual of [25, 17, 8]-code) | [i] | ||
| 6 | Linear OA(169, 25, F16, 8) (dual of [25, 16, 9]-code) | [i] | ||
| 7 | Linear OA(1610, 25, F16, 9) (dual of [25, 15, 10]-code) | [i] | ||
| 8 | Linear OA(1611, 25, F16, 10) (dual of [25, 14, 11]-code) | [i] | ||
| 9 | Linear OA(1612, 25, F16, 11) (dual of [25, 13, 12]-code) | [i] | ||
| 10 | Linear OA(1613, 25, F16, 12) (dual of [25, 12, 13]-code) | [i] | ||
| 11 | Linear OA(1614, 25, F16, 13) (dual of [25, 11, 14]-code) | [i] | ||
| 12 | Linear OA(1615, 25, F16, 14) (dual of [25, 10, 15]-code) | [i] | ||
| 13 | Linear OA(1616, 25, F16, 15) (dual of [25, 9, 16]-code) | [i] | ||
| 14 | Linear OA(1617, 25, F16, 16) (dual of [25, 8, 17]-code) | [i] | ||
| 15 | Linear OA(1618, 25, F16, 17) (dual of [25, 7, 18]-code) | [i] | ||
| 16 | Linear OA(1619, 25, F16, 18) (dual of [25, 6, 19]-code) | [i] | ||
| 17 | Linear OA(1620, 25, F16, 19) (dual of [25, 5, 20]-code) | [i] | ||
| 18 | Linear OA(1621, 25, F16, 20) (dual of [25, 4, 21]-code) | [i] | ||
| 19 | Linear OA(1622, 25, F16, 21) (dual of [25, 3, 22]-code) | [i] | ||
| 20 | Linear OOA(165, 25, F16, 2, 4) (dual of [(25, 2), 45, 5]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 21 | Linear OOA(166, 25, F16, 2, 5) (dual of [(25, 2), 44, 6]-NRT-code) | [i] | ||
| 22 | Linear OOA(167, 25, F16, 2, 6) (dual of [(25, 2), 43, 7]-NRT-code) | [i] | ||
| 23 | Linear OOA(168, 25, F16, 2, 7) (dual of [(25, 2), 42, 8]-NRT-code) | [i] | ||
| 24 | Linear OOA(169, 25, F16, 2, 8) (dual of [(25, 2), 41, 9]-NRT-code) | [i] | ||
| 25 | Linear OOA(1610, 25, F16, 2, 9) (dual of [(25, 2), 40, 10]-NRT-code) | [i] | ||
| 26 | Linear OOA(1611, 25, F16, 2, 10) (dual of [(25, 2), 39, 11]-NRT-code) | [i] | ||
| 27 | Linear OOA(1612, 25, F16, 2, 11) (dual of [(25, 2), 38, 12]-NRT-code) | [i] | ||
| 28 | Linear OOA(1613, 25, F16, 2, 12) (dual of [(25, 2), 37, 13]-NRT-code) | [i] | ||
| 29 | Linear OOA(1614, 25, F16, 2, 13) (dual of [(25, 2), 36, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(1615, 25, F16, 2, 14) (dual of [(25, 2), 35, 15]-NRT-code) | [i] | ||
| 31 | Linear OOA(1616, 25, F16, 2, 15) (dual of [(25, 2), 34, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(1617, 25, F16, 2, 16) (dual of [(25, 2), 33, 17]-NRT-code) | [i] | ||
| 33 | Linear OOA(1618, 25, F16, 2, 17) (dual of [(25, 2), 32, 18]-NRT-code) | [i] | ||
| 34 | Linear OOA(1619, 25, F16, 2, 18) (dual of [(25, 2), 31, 19]-NRT-code) | [i] | ||
| 35 | Linear OOA(1620, 25, F16, 2, 19) (dual of [(25, 2), 30, 20]-NRT-code) | [i] | ||
| 36 | Linear OOA(1621, 25, F16, 2, 20) (dual of [(25, 2), 29, 21]-NRT-code) | [i] | ||
| 37 | Linear OOA(1622, 25, F16, 2, 21) (dual of [(25, 2), 28, 22]-NRT-code) | [i] | ||
| 38 | Linear OOA(1623, 25, F16, 2, 22) (dual of [(25, 2), 27, 23]-NRT-code) | [i] | ||
| 39 | Linear OOA(1624, 25, F16, 2, 23) (dual of [(25, 2), 26, 24]-NRT-code) | [i] | ||
| 40 | Linear OOA(1625, 25, F16, 2, 24) (dual of [(25, 2), 25, 25]-NRT-code) | [i] | ||
| 41 | Linear OOA(1626, 25, F16, 2, 25) (dual of [(25, 2), 24, 26]-NRT-code) | [i] | ||
| 42 | Linear OOA(1627, 25, F16, 2, 26) (dual of [(25, 2), 23, 27]-NRT-code) | [i] | ||
| 43 | Linear OOA(1628, 25, F16, 2, 27) (dual of [(25, 2), 22, 28]-NRT-code) | [i] | ||
| 44 | Linear OOA(1629, 25, F16, 2, 28) (dual of [(25, 2), 21, 29]-NRT-code) | [i] | ||
| 45 | Linear OOA(1630, 25, F16, 2, 29) (dual of [(25, 2), 20, 30]-NRT-code) | [i] | ||
| 46 | Linear OOA(1631, 25, F16, 2, 30) (dual of [(25, 2), 19, 31]-NRT-code) | [i] | ||
| 47 | Linear OOA(1632, 25, F16, 2, 31) (dual of [(25, 2), 18, 32]-NRT-code) | [i] | ||
| 48 | Linear OOA(1633, 25, F16, 2, 32) (dual of [(25, 2), 17, 33]-NRT-code) | [i] | ||
| 49 | Linear OOA(1634, 25, F16, 2, 33) (dual of [(25, 2), 16, 34]-NRT-code) | [i] | ||
| 50 | Linear OOA(1635, 25, F16, 2, 34) (dual of [(25, 2), 15, 35]-NRT-code) | [i] | ||
| 51 | Linear OOA(1636, 25, F16, 2, 35) (dual of [(25, 2), 14, 36]-NRT-code) | [i] | ||
| 52 | Linear OOA(1637, 25, F16, 2, 36) (dual of [(25, 2), 13, 37]-NRT-code) | [i] | ||
| 53 | Linear OOA(1638, 25, F16, 2, 37) (dual of [(25, 2), 12, 38]-NRT-code) | [i] | ||
| 54 | Linear OOA(1639, 25, F16, 2, 38) (dual of [(25, 2), 11, 39]-NRT-code) | [i] | ||
| 55 | Linear OOA(1640, 25, F16, 2, 39) (dual of [(25, 2), 10, 40]-NRT-code) | [i] | ||
| 56 | Linear OOA(1641, 25, F16, 2, 40) (dual of [(25, 2), 9, 41]-NRT-code) | [i] | ||
| 57 | Linear OOA(1642, 25, F16, 2, 41) (dual of [(25, 2), 8, 42]-NRT-code) | [i] | ||
| 58 | Linear OOA(1643, 25, F16, 2, 42) (dual of [(25, 2), 7, 43]-NRT-code) | [i] | ||
| 59 | Linear OOA(1644, 25, F16, 2, 43) (dual of [(25, 2), 6, 44]-NRT-code) | [i] | ||
| 60 | Linear OOA(1645, 25, F16, 2, 44) (dual of [(25, 2), 5, 45]-NRT-code) | [i] | ||
| 61 | Linear OOA(1646, 25, F16, 2, 45) (dual of [(25, 2), 4, 46]-NRT-code) | [i] | ||
| 62 | Linear OOA(1647, 25, F16, 2, 46) (dual of [(25, 2), 3, 47]-NRT-code) | [i] | ||