Information on Result #600078
Function Field F/F4 with g(F) = 1 and N(F) ≥ 9, using the Hermitian function field over F4
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 (1, 8)-sequence over F4 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OOA(45, 9, F4, 2, 4) (dual of [(9, 2), 13, 5]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 3 | Linear OOA(46, 9, F4, 2, 5) (dual of [(9, 2), 12, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(47, 9, F4, 2, 6) (dual of [(9, 2), 11, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(48, 9, F4, 2, 7) (dual of [(9, 2), 10, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(49, 9, F4, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(410, 9, F4, 2, 9) (dual of [(9, 2), 8, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(411, 9, F4, 2, 10) (dual of [(9, 2), 7, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(412, 9, F4, 2, 11) (dual of [(9, 2), 6, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(414, 9, F4, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(416, 9, F4, 2, 15) (dual of [(9, 2), 2, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(46, 9, F4, 3, 5) (dual of [(9, 3), 21, 6]-NRT-code) | [i] | ||
| 15 | Linear OOA(47, 9, F4, 3, 6) (dual of [(9, 3), 20, 7]-NRT-code) | [i] | ||
| 16 | Linear OOA(48, 9, F4, 3, 7) (dual of [(9, 3), 19, 8]-NRT-code) | [i] | ||
| 17 | Linear OOA(49, 9, F4, 3, 8) (dual of [(9, 3), 18, 9]-NRT-code) | [i] | ||
| 18 | Linear OOA(410, 9, F4, 3, 9) (dual of [(9, 3), 17, 10]-NRT-code) | [i] | ||
| 19 | Linear OOA(411, 9, F4, 3, 10) (dual of [(9, 3), 16, 11]-NRT-code) | [i] | ||
| 20 | Linear OOA(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(413, 9, F4, 3, 12) (dual of [(9, 3), 14, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(414, 9, F4, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(415, 9, F4, 3, 14) (dual of [(9, 3), 12, 15]-NRT-code) | [i] | ||
| 24 | Linear OOA(416, 9, F4, 3, 15) (dual of [(9, 3), 11, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(417, 9, F4, 3, 16) (dual of [(9, 3), 10, 17]-NRT-code) | [i] | ||
| 26 | Linear OOA(418, 9, F4, 3, 17) (dual of [(9, 3), 9, 18]-NRT-code) | [i] | ||
| 27 | Linear OOA(419, 9, F4, 3, 18) (dual of [(9, 3), 8, 19]-NRT-code) | [i] | ||
| 28 | Linear OOA(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code) | [i] | ||
| 29 | Linear OOA(421, 9, F4, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code) | [i] | ||
| 30 | Linear OOA(422, 9, F4, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code) | [i] | ||
| 31 | Linear OOA(423, 9, F4, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code) | [i] | ||
| 32 | Linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code) | [i] | ||
| 33 | Linear OOA(425, 9, F4, 3, 24) (dual of [(9, 3), 2, 25]-NRT-code) | [i] | ||