Information on Result #600199
Function Field F/F5 with g(F) = 3 and N(F) ≥ 16, using an explicitly constructive algebraic function field
Mode: Constructive and 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, 15)-sequence over F5 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(511, 16, F5, 8) (dual of [16, 5, 9]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OOA(59, 16, F5, 2, 6) (dual of [(16, 2), 23, 7]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 4 | Linear OOA(510, 16, F5, 2, 7) (dual of [(16, 2), 22, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(511, 16, F5, 2, 8) (dual of [(16, 2), 21, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(512, 16, F5, 2, 9) (dual of [(16, 2), 20, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(513, 16, F5, 2, 10) (dual of [(16, 2), 19, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(514, 16, F5, 2, 11) (dual of [(16, 2), 18, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(515, 16, F5, 2, 12) (dual of [(16, 2), 17, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(516, 16, F5, 2, 13) (dual of [(16, 2), 16, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(517, 16, F5, 2, 14) (dual of [(16, 2), 15, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(518, 16, F5, 2, 15) (dual of [(16, 2), 14, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(519, 16, F5, 2, 16) (dual of [(16, 2), 13, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(520, 16, F5, 2, 17) (dual of [(16, 2), 12, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(521, 16, F5, 2, 18) (dual of [(16, 2), 11, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(522, 16, F5, 2, 19) (dual of [(16, 2), 10, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(523, 16, F5, 2, 20) (dual of [(16, 2), 9, 21]-NRT-code) | [i] | ||
| 18 | Linear OOA(524, 16, F5, 2, 21) (dual of [(16, 2), 8, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(525, 16, F5, 2, 22) (dual of [(16, 2), 7, 23]-NRT-code) | [i] | ||
| 20 | Linear OOA(526, 16, F5, 2, 23) (dual of [(16, 2), 6, 24]-NRT-code) | [i] | ||
| 21 | Linear OOA(527, 16, F5, 2, 24) (dual of [(16, 2), 5, 25]-NRT-code) | [i] | ||
| 22 | Linear OOA(528, 16, F5, 2, 25) (dual of [(16, 2), 4, 26]-NRT-code) | [i] | ||
| 23 | Linear OOA(529, 16, F5, 2, 26) (dual of [(16, 2), 3, 27]-NRT-code) | [i] | ||
| 24 | Linear OOA(530, 16, F5, 2, 27) (dual of [(16, 2), 2, 28]-NRT-code) | [i] | ||
| 25 | Linear OOA(59, 16, F5, 3, 6) (dual of [(16, 3), 39, 7]-NRT-code) | [i] | ||
| 26 | Linear OOA(510, 16, F5, 3, 7) (dual of [(16, 3), 38, 8]-NRT-code) | [i] | ||
| 27 | Linear OOA(511, 16, F5, 3, 8) (dual of [(16, 3), 37, 9]-NRT-code) | [i] | ||
| 28 | Linear OOA(512, 16, F5, 3, 9) (dual of [(16, 3), 36, 10]-NRT-code) | [i] | ||
| 29 | Linear OOA(513, 16, F5, 3, 10) (dual of [(16, 3), 35, 11]-NRT-code) | [i] | ||
| 30 | Linear OOA(514, 16, F5, 3, 11) (dual of [(16, 3), 34, 12]-NRT-code) | [i] | ||
| 31 | Linear OOA(515, 16, F5, 3, 12) (dual of [(16, 3), 33, 13]-NRT-code) | [i] | ||
| 32 | Linear OOA(516, 16, F5, 3, 13) (dual of [(16, 3), 32, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(517, 16, F5, 3, 14) (dual of [(16, 3), 31, 15]-NRT-code) | [i] | ||
| 34 | Linear OOA(518, 16, F5, 3, 15) (dual of [(16, 3), 30, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(519, 16, F5, 3, 16) (dual of [(16, 3), 29, 17]-NRT-code) | [i] | ||
| 36 | Linear OOA(520, 16, F5, 3, 17) (dual of [(16, 3), 28, 18]-NRT-code) | [i] | ||
| 37 | Linear OOA(521, 16, F5, 3, 18) (dual of [(16, 3), 27, 19]-NRT-code) | [i] | ||
| 38 | Linear OOA(522, 16, F5, 3, 19) (dual of [(16, 3), 26, 20]-NRT-code) | [i] | ||
| 39 | Linear OOA(523, 16, F5, 3, 20) (dual of [(16, 3), 25, 21]-NRT-code) | [i] | ||
| 40 | Linear OOA(524, 16, F5, 3, 21) (dual of [(16, 3), 24, 22]-NRT-code) | [i] | ||
| 41 | Linear OOA(525, 16, F5, 3, 22) (dual of [(16, 3), 23, 23]-NRT-code) | [i] | ||
| 42 | Linear OOA(526, 16, F5, 3, 23) (dual of [(16, 3), 22, 24]-NRT-code) | [i] | ||
| 43 | Linear OOA(527, 16, F5, 3, 24) (dual of [(16, 3), 21, 25]-NRT-code) | [i] | ||
| 44 | Linear OOA(528, 16, F5, 3, 25) (dual of [(16, 3), 20, 26]-NRT-code) | [i] | ||
| 45 | Linear OOA(529, 16, F5, 3, 26) (dual of [(16, 3), 19, 27]-NRT-code) | [i] | ||
| 46 | Linear OOA(530, 16, F5, 3, 27) (dual of [(16, 3), 18, 28]-NRT-code) | [i] | ||
| 47 | Linear OOA(531, 16, F5, 3, 28) (dual of [(16, 3), 17, 29]-NRT-code) | [i] | ||
| 48 | Linear OOA(532, 16, F5, 3, 29) (dual of [(16, 3), 16, 30]-NRT-code) | [i] | ||
| 49 | Linear OOA(533, 16, F5, 3, 30) (dual of [(16, 3), 15, 31]-NRT-code) | [i] | ||
| 50 | Linear OOA(534, 16, F5, 3, 31) (dual of [(16, 3), 14, 32]-NRT-code) | [i] | ||
| 51 | Linear OOA(535, 16, F5, 3, 32) (dual of [(16, 3), 13, 33]-NRT-code) | [i] | ||
| 52 | Linear OOA(536, 16, F5, 3, 33) (dual of [(16, 3), 12, 34]-NRT-code) | [i] | ||
| 53 | Linear OOA(537, 16, F5, 3, 34) (dual of [(16, 3), 11, 35]-NRT-code) | [i] | ||
| 54 | Linear OOA(538, 16, F5, 3, 35) (dual of [(16, 3), 10, 36]-NRT-code) | [i] | ||
| 55 | Linear OOA(539, 16, F5, 3, 36) (dual of [(16, 3), 9, 37]-NRT-code) | [i] | ||
| 56 | Linear OOA(540, 16, F5, 3, 37) (dual of [(16, 3), 8, 38]-NRT-code) | [i] | ||
| 57 | Linear OOA(541, 16, F5, 3, 38) (dual of [(16, 3), 7, 39]-NRT-code) | [i] | ||
| 58 | Linear OOA(542, 16, F5, 3, 39) (dual of [(16, 3), 6, 40]-NRT-code) | [i] | ||
| 59 | Linear OOA(543, 16, F5, 3, 40) (dual of [(16, 3), 5, 41]-NRT-code) | [i] | ||
| 60 | Linear OOA(544, 16, F5, 3, 41) (dual of [(16, 3), 4, 42]-NRT-code) | [i] | ||
| 61 | Linear OOA(545, 16, F5, 3, 42) (dual of [(16, 3), 3, 43]-NRT-code) | [i] | ||
| 62 | Linear OOA(546, 16, F5, 3, 43) (dual of [(16, 3), 2, 44]-NRT-code) | [i] | ||