Information on Result #600195
Function Field F/F4 with g(F) = 12 and N(F) ≥ 28, 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 (12, 27)-sequence over F4 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OOA(421, 28, F4, 3, 9) (dual of [(28, 3), 63, 10]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 3 | Linear OOA(422, 28, F4, 3, 10) (dual of [(28, 3), 62, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(423, 28, F4, 3, 11) (dual of [(28, 3), 61, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(424, 28, F4, 3, 12) (dual of [(28, 3), 60, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(425, 28, F4, 3, 13) (dual of [(28, 3), 59, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(426, 28, F4, 3, 14) (dual of [(28, 3), 58, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(427, 28, F4, 3, 15) (dual of [(28, 3), 57, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(428, 28, F4, 3, 16) (dual of [(28, 3), 56, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(429, 28, F4, 3, 17) (dual of [(28, 3), 55, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(430, 28, F4, 3, 18) (dual of [(28, 3), 54, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(431, 28, F4, 3, 19) (dual of [(28, 3), 53, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(432, 28, F4, 3, 20) (dual of [(28, 3), 52, 21]-NRT-code) | [i] | ||
| 14 | Linear OOA(433, 28, F4, 3, 21) (dual of [(28, 3), 51, 22]-NRT-code) | [i] | ||
| 15 | Linear OOA(434, 28, F4, 3, 22) (dual of [(28, 3), 50, 23]-NRT-code) | [i] | ||
| 16 | Linear OOA(435, 28, F4, 3, 23) (dual of [(28, 3), 49, 24]-NRT-code) | [i] | ||
| 17 | Linear OOA(436, 28, F4, 3, 24) (dual of [(28, 3), 48, 25]-NRT-code) | [i] | ||
| 18 | Linear OOA(437, 28, F4, 3, 25) (dual of [(28, 3), 47, 26]-NRT-code) | [i] | ||
| 19 | Linear OOA(438, 28, F4, 3, 26) (dual of [(28, 3), 46, 27]-NRT-code) | [i] | ||
| 20 | Linear OOA(439, 28, F4, 3, 27) (dual of [(28, 3), 45, 28]-NRT-code) | [i] | ||
| 21 | Linear OOA(440, 28, F4, 3, 28) (dual of [(28, 3), 44, 29]-NRT-code) | [i] | ||
| 22 | Linear OOA(441, 28, F4, 3, 29) (dual of [(28, 3), 43, 30]-NRT-code) | [i] | ||
| 23 | Linear OOA(442, 28, F4, 3, 30) (dual of [(28, 3), 42, 31]-NRT-code) | [i] | ||
| 24 | Linear OOA(443, 28, F4, 3, 31) (dual of [(28, 3), 41, 32]-NRT-code) | [i] | ||
| 25 | Linear OOA(444, 28, F4, 3, 32) (dual of [(28, 3), 40, 33]-NRT-code) | [i] | ||
| 26 | Linear OOA(445, 28, F4, 3, 33) (dual of [(28, 3), 39, 34]-NRT-code) | [i] | ||
| 27 | Linear OOA(446, 28, F4, 3, 34) (dual of [(28, 3), 38, 35]-NRT-code) | [i] | ||
| 28 | Linear OOA(447, 28, F4, 3, 35) (dual of [(28, 3), 37, 36]-NRT-code) | [i] | ||
| 29 | Linear OOA(448, 28, F4, 3, 36) (dual of [(28, 3), 36, 37]-NRT-code) | [i] | ||
| 30 | Linear OOA(449, 28, F4, 3, 37) (dual of [(28, 3), 35, 38]-NRT-code) | [i] | ||
| 31 | Linear OOA(450, 28, F4, 3, 38) (dual of [(28, 3), 34, 39]-NRT-code) | [i] | ||
| 32 | Linear OOA(451, 28, F4, 3, 39) (dual of [(28, 3), 33, 40]-NRT-code) | [i] | ||
| 33 | Linear OOA(452, 28, F4, 3, 40) (dual of [(28, 3), 32, 41]-NRT-code) | [i] | ||
| 34 | Linear OOA(453, 28, F4, 3, 41) (dual of [(28, 3), 31, 42]-NRT-code) | [i] | ||
| 35 | Linear OOA(454, 28, F4, 3, 42) (dual of [(28, 3), 30, 43]-NRT-code) | [i] | ||
| 36 | Linear OOA(455, 28, F4, 3, 43) (dual of [(28, 3), 29, 44]-NRT-code) | [i] | ||
| 37 | Linear OOA(456, 28, F4, 3, 44) (dual of [(28, 3), 28, 45]-NRT-code) | [i] | ||
| 38 | Linear OOA(457, 28, F4, 3, 45) (dual of [(28, 3), 27, 46]-NRT-code) | [i] | ||
| 39 | Linear OOA(458, 28, F4, 3, 46) (dual of [(28, 3), 26, 47]-NRT-code) | [i] | ||
| 40 | Linear OOA(459, 28, F4, 3, 47) (dual of [(28, 3), 25, 48]-NRT-code) | [i] | ||
| 41 | Linear OOA(460, 28, F4, 3, 48) (dual of [(28, 3), 24, 49]-NRT-code) | [i] | ||
| 42 | Linear OOA(461, 28, F4, 3, 49) (dual of [(28, 3), 23, 50]-NRT-code) | [i] | ||
| 43 | Linear OOA(462, 28, F4, 3, 50) (dual of [(28, 3), 22, 51]-NRT-code) | [i] | ||
| 44 | Linear OOA(463, 28, F4, 3, 51) (dual of [(28, 3), 21, 52]-NRT-code) | [i] | ||
| 45 | Linear OOA(464, 28, F4, 3, 52) (dual of [(28, 3), 20, 53]-NRT-code) | [i] | ||
| 46 | Linear OOA(465, 28, F4, 3, 53) (dual of [(28, 3), 19, 54]-NRT-code) | [i] | ||
| 47 | Linear OOA(466, 28, F4, 3, 54) (dual of [(28, 3), 18, 55]-NRT-code) | [i] | ||
| 48 | Linear OOA(467, 28, F4, 3, 55) (dual of [(28, 3), 17, 56]-NRT-code) | [i] | ||
| 49 | Linear OOA(468, 28, F4, 3, 56) (dual of [(28, 3), 16, 57]-NRT-code) | [i] | ||
| 50 | Linear OOA(469, 28, F4, 3, 57) (dual of [(28, 3), 15, 58]-NRT-code) | [i] | ||
| 51 | Linear OOA(470, 28, F4, 3, 58) (dual of [(28, 3), 14, 59]-NRT-code) | [i] | ||
| 52 | Linear OOA(471, 28, F4, 3, 59) (dual of [(28, 3), 13, 60]-NRT-code) | [i] | ||
| 53 | Linear OOA(472, 28, F4, 3, 60) (dual of [(28, 3), 12, 61]-NRT-code) | [i] | ||
| 54 | Linear OOA(473, 28, F4, 3, 61) (dual of [(28, 3), 11, 62]-NRT-code) | [i] | ||
| 55 | Linear OOA(474, 28, F4, 3, 62) (dual of [(28, 3), 10, 63]-NRT-code) | [i] | ||
| 56 | Linear OOA(475, 28, F4, 3, 63) (dual of [(28, 3), 9, 64]-NRT-code) | [i] | ||
| 57 | Linear OOA(476, 28, F4, 3, 64) (dual of [(28, 3), 8, 65]-NRT-code) | [i] | ||
| 58 | Linear OOA(477, 28, F4, 3, 65) (dual of [(28, 3), 7, 66]-NRT-code) | [i] | ||
| 59 | Linear OOA(478, 28, F4, 3, 66) (dual of [(28, 3), 6, 67]-NRT-code) | [i] | ||
| 60 | Linear OOA(479, 28, F4, 3, 67) (dual of [(28, 3), 5, 68]-NRT-code) | [i] | ||
| 61 | Linear OOA(480, 28, F4, 3, 68) (dual of [(28, 3), 4, 69]-NRT-code) | [i] | ||
| 62 | Linear OOA(481, 28, F4, 3, 69) (dual of [(28, 3), 3, 70]-NRT-code) | [i] | ||
| 63 | Linear OOA(482, 28, F4, 3, 70) (dual of [(28, 3), 2, 71]-NRT-code) | [i] | ||