Information on Result #600189
Function Field F/F4 with g(F) = 3 and N(F) ≥ 14, 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, 13)-sequence over F4 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OOA(48, 14, F4, 2, 5) (dual of [(14, 2), 20, 6]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 3 | Linear OOA(49, 14, F4, 2, 6) (dual of [(14, 2), 19, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(410, 14, F4, 2, 7) (dual of [(14, 2), 18, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(411, 14, F4, 2, 8) (dual of [(14, 2), 17, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(412, 14, F4, 2, 9) (dual of [(14, 2), 16, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(413, 14, F4, 2, 10) (dual of [(14, 2), 15, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(414, 14, F4, 2, 11) (dual of [(14, 2), 14, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(415, 14, F4, 2, 12) (dual of [(14, 2), 13, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(416, 14, F4, 2, 13) (dual of [(14, 2), 12, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(417, 14, F4, 2, 14) (dual of [(14, 2), 11, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(418, 14, F4, 2, 15) (dual of [(14, 2), 10, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(419, 14, F4, 2, 16) (dual of [(14, 2), 9, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(420, 14, F4, 2, 17) (dual of [(14, 2), 8, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(422, 14, F4, 2, 19) (dual of [(14, 2), 6, 20]-NRT-code) | [i] | ||
| 17 | Linear OOA(423, 14, F4, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code) | [i] | ||
| 18 | Linear OOA(424, 14, F4, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code) | [i] | ||
| 19 | Linear OOA(425, 14, F4, 2, 22) (dual of [(14, 2), 3, 23]-NRT-code) | [i] | ||
| 20 | Linear OOA(426, 14, F4, 2, 23) (dual of [(14, 2), 2, 24]-NRT-code) | [i] | ||
| 21 | Linear OOA(49, 14, F4, 3, 6) (dual of [(14, 3), 33, 7]-NRT-code) | [i] | ||
| 22 | Linear OOA(410, 14, F4, 3, 7) (dual of [(14, 3), 32, 8]-NRT-code) | [i] | ||
| 23 | Linear OOA(411, 14, F4, 3, 8) (dual of [(14, 3), 31, 9]-NRT-code) | [i] | ||
| 24 | Linear OOA(412, 14, F4, 3, 9) (dual of [(14, 3), 30, 10]-NRT-code) | [i] | ||
| 25 | Linear OOA(413, 14, F4, 3, 10) (dual of [(14, 3), 29, 11]-NRT-code) | [i] | ||
| 26 | Linear OOA(414, 14, F4, 3, 11) (dual of [(14, 3), 28, 12]-NRT-code) | [i] | ||
| 27 | Linear OOA(415, 14, F4, 3, 12) (dual of [(14, 3), 27, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(416, 14, F4, 3, 13) (dual of [(14, 3), 26, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(417, 14, F4, 3, 14) (dual of [(14, 3), 25, 15]-NRT-code) | [i] | ||
| 30 | Linear OOA(418, 14, F4, 3, 15) (dual of [(14, 3), 24, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(419, 14, F4, 3, 16) (dual of [(14, 3), 23, 17]-NRT-code) | [i] | ||
| 32 | Linear OOA(420, 14, F4, 3, 17) (dual of [(14, 3), 22, 18]-NRT-code) | [i] | ||
| 33 | Linear OOA(421, 14, F4, 3, 18) (dual of [(14, 3), 21, 19]-NRT-code) | [i] | ||
| 34 | Linear OOA(422, 14, F4, 3, 19) (dual of [(14, 3), 20, 20]-NRT-code) | [i] | ||
| 35 | Linear OOA(423, 14, F4, 3, 20) (dual of [(14, 3), 19, 21]-NRT-code) | [i] | ||
| 36 | Linear OOA(424, 14, F4, 3, 21) (dual of [(14, 3), 18, 22]-NRT-code) | [i] | ||
| 37 | Linear OOA(425, 14, F4, 3, 22) (dual of [(14, 3), 17, 23]-NRT-code) | [i] | ||
| 38 | Linear OOA(426, 14, F4, 3, 23) (dual of [(14, 3), 16, 24]-NRT-code) | [i] | ||
| 39 | Linear OOA(427, 14, F4, 3, 24) (dual of [(14, 3), 15, 25]-NRT-code) | [i] | ||
| 40 | Linear OOA(428, 14, F4, 3, 25) (dual of [(14, 3), 14, 26]-NRT-code) | [i] | ||
| 41 | Linear OOA(429, 14, F4, 3, 26) (dual of [(14, 3), 13, 27]-NRT-code) | [i] | ||
| 42 | Linear OOA(430, 14, F4, 3, 27) (dual of [(14, 3), 12, 28]-NRT-code) | [i] | ||
| 43 | Linear OOA(431, 14, F4, 3, 28) (dual of [(14, 3), 11, 29]-NRT-code) | [i] | ||
| 44 | Linear OOA(432, 14, F4, 3, 29) (dual of [(14, 3), 10, 30]-NRT-code) | [i] | ||
| 45 | Linear OOA(433, 14, F4, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code) | [i] | ||
| 46 | Linear OOA(434, 14, F4, 3, 31) (dual of [(14, 3), 8, 32]-NRT-code) | [i] | ||
| 47 | Linear OOA(435, 14, F4, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code) | [i] | ||
| 48 | Linear OOA(436, 14, F4, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code) | [i] | ||
| 49 | Linear OOA(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) | [i] | ||
| 50 | Linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code) | [i] | ||
| 51 | Linear OOA(439, 14, F4, 3, 36) (dual of [(14, 3), 3, 37]-NRT-code) | [i] | ||
| 52 | Linear OOA(440, 14, F4, 3, 37) (dual of [(14, 3), 2, 38]-NRT-code) | [i] | ||