Information on Result #600082
Function Field F/F49 with g(F) = 21 and N(F) ≥ 344, using the Hermitian function field over F49
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 (21, 343)-sequence over F49 | [i] | Niederreiter–Xing Sequence Construction II/III | |
| 2 | Linear OA(4946, 344, F49, 25) (dual of [344, 298, 26]-code) | [i] | Extended Algebraic-Geometric Codes | |
| 3 | Linear OA(4947, 344, F49, 26) (dual of [344, 297, 27]-code) | [i] | ||
| 4 | Linear OA(4948, 344, F49, 27) (dual of [344, 296, 28]-code) | [i] | ||
| 5 | Linear OA(4949, 344, F49, 28) (dual of [344, 295, 29]-code) | [i] | ||
| 6 | Linear OA(4950, 344, F49, 29) (dual of [344, 294, 30]-code) | [i] | ||
| 7 | Linear OA(4951, 344, F49, 30) (dual of [344, 293, 31]-code) | [i] | ||
| 8 | Linear OA(4952, 344, F49, 31) (dual of [344, 292, 32]-code) | [i] | ||
| 9 | Linear OA(4953, 344, F49, 32) (dual of [344, 291, 33]-code) | [i] | ||
| 10 | Linear OA(4954, 344, F49, 33) (dual of [344, 290, 34]-code) | [i] | ||
| 11 | Linear OA(4955, 344, F49, 34) (dual of [344, 289, 35]-code) | [i] | ||
| 12 | Linear OOA(4945, 344, F49, 2, 24) (dual of [(344, 2), 643, 25]-NRT-code) | [i] | Extended Algebraic-Geometric NRT-Codes | |
| 13 | Linear OOA(4946, 344, F49, 2, 25) (dual of [(344, 2), 642, 26]-NRT-code) | [i] | ||
| 14 | Linear OOA(4947, 344, F49, 2, 26) (dual of [(344, 2), 641, 27]-NRT-code) | [i] | ||
| 15 | Linear OOA(4948, 344, F49, 2, 27) (dual of [(344, 2), 640, 28]-NRT-code) | [i] | ||
| 16 | Linear OOA(4949, 344, F49, 2, 28) (dual of [(344, 2), 639, 29]-NRT-code) | [i] | ||
| 17 | Linear OOA(4950, 344, F49, 2, 29) (dual of [(344, 2), 638, 30]-NRT-code) | [i] | ||
| 18 | Linear OOA(4951, 344, F49, 2, 30) (dual of [(344, 2), 637, 31]-NRT-code) | [i] | ||
| 19 | Linear OOA(4952, 344, F49, 2, 31) (dual of [(344, 2), 636, 32]-NRT-code) | [i] | ||
| 20 | Linear OOA(4953, 344, F49, 2, 32) (dual of [(344, 2), 635, 33]-NRT-code) | [i] | ||
| 21 | Linear OOA(4954, 344, F49, 2, 33) (dual of [(344, 2), 634, 34]-NRT-code) | [i] | ||
| 22 | Linear OOA(4955, 344, F49, 2, 34) (dual of [(344, 2), 633, 35]-NRT-code) | [i] | ||
| 23 | Linear OOA(4944, 344, F49, 3, 23) (dual of [(344, 3), 988, 24]-NRT-code) | [i] | ||
| 24 | Linear OOA(4945, 344, F49, 3, 24) (dual of [(344, 3), 987, 25]-NRT-code) | [i] | ||
| 25 | Linear OOA(4946, 344, F49, 3, 25) (dual of [(344, 3), 986, 26]-NRT-code) | [i] | ||
| 26 | Linear OOA(4947, 344, F49, 3, 26) (dual of [(344, 3), 985, 27]-NRT-code) | [i] | ||
| 27 | Linear OOA(4948, 344, F49, 3, 27) (dual of [(344, 3), 984, 28]-NRT-code) | [i] | ||
| 28 | Linear OOA(4949, 344, F49, 3, 28) (dual of [(344, 3), 983, 29]-NRT-code) | [i] | ||
| 29 | Linear OOA(4950, 344, F49, 3, 29) (dual of [(344, 3), 982, 30]-NRT-code) | [i] | ||
| 30 | Linear OOA(4951, 344, F49, 3, 30) (dual of [(344, 3), 981, 31]-NRT-code) | [i] | ||
| 31 | Linear OOA(4952, 344, F49, 3, 31) (dual of [(344, 3), 980, 32]-NRT-code) | [i] | ||
| 32 | Linear OOA(4953, 344, F49, 3, 32) (dual of [(344, 3), 979, 33]-NRT-code) | [i] | ||
| 33 | Linear OOA(4954, 344, F49, 3, 33) (dual of [(344, 3), 978, 34]-NRT-code) | [i] | ||
| 34 | Linear OOA(4955, 344, F49, 3, 34) (dual of [(344, 3), 977, 35]-NRT-code) | [i] | ||
| 35 | Linear OA(4954, 343, F49, 33) (dual of [343, 289, 34]-code) | [i] | Algebraic-Geometric Codes | |
| 36 | Linear OA(4952, 343, F49, 31) (dual of [343, 291, 32]-code) | [i] | ||
| 37 | Linear OA(4953, 343, F49, 32) (dual of [343, 290, 33]-code) | [i] | ||
| 38 | Linear OA(4951, 343, F49, 30) (dual of [343, 292, 31]-code) | [i] | ||
| 39 | Linear OA(4950, 343, F49, 29) (dual of [343, 293, 30]-code) | [i] | ||
| 40 | Linear OA(4949, 343, F49, 28) (dual of [343, 294, 29]-code) | [i] | ||
| 41 | Linear OA(4948, 343, F49, 27) (dual of [343, 295, 28]-code) | [i] | ||
| 42 | Linear OA(4947, 343, F49, 26) (dual of [343, 296, 27]-code) | [i] | ||
| 43 | Linear OA(4946, 343, F49, 25) (dual of [343, 297, 26]-code) | [i] | ||
| 44 | Linear OA(4945, 343, F49, 24) (dual of [343, 298, 25]-code) | [i] | ||
| 45 | Linear OOA(4952, 343, F49, 2, 31) (dual of [(343, 2), 634, 32]-NRT-code) | [i] | Algebraic-Geometric NRT-Codes | |
| 46 | Linear OOA(4948, 343, F49, 2, 27) (dual of [(343, 2), 638, 28]-NRT-code) | [i] | ||
| 47 | Linear OOA(4951, 343, F49, 2, 30) (dual of [(343, 2), 635, 31]-NRT-code) | [i] | ||
| 48 | Linear OOA(4947, 343, F49, 2, 26) (dual of [(343, 2), 639, 27]-NRT-code) | [i] | ||
| 49 | Linear OOA(4950, 343, F49, 2, 29) (dual of [(343, 2), 636, 30]-NRT-code) | [i] | ||
| 50 | Linear OOA(4946, 343, F49, 2, 25) (dual of [(343, 2), 640, 26]-NRT-code) | [i] | ||
| 51 | Linear OOA(4949, 343, F49, 2, 28) (dual of [(343, 2), 637, 29]-NRT-code) | [i] | ||
| 52 | Linear OOA(4945, 343, F49, 2, 24) (dual of [(343, 2), 641, 25]-NRT-code) | [i] | ||
| 53 | Linear OOA(4944, 343, F49, 2, 23) (dual of [(343, 2), 642, 24]-NRT-code) | [i] | ||
| 54 | Linear OOA(4951, 343, F49, 3, 30) (dual of [(343, 3), 978, 31]-NRT-code) | [i] | ||
| 55 | Linear OOA(4946, 343, F49, 3, 25) (dual of [(343, 3), 983, 26]-NRT-code) | [i] | ||
| 56 | Linear OOA(4950, 343, F49, 3, 29) (dual of [(343, 3), 979, 30]-NRT-code) | [i] | ||
| 57 | Linear OOA(4945, 343, F49, 3, 24) (dual of [(343, 3), 984, 25]-NRT-code) | [i] | ||
| 58 | Linear OOA(4949, 343, F49, 3, 28) (dual of [(343, 3), 980, 29]-NRT-code) | [i] | ||
| 59 | Linear OOA(4944, 343, F49, 3, 23) (dual of [(343, 3), 985, 24]-NRT-code) | [i] | ||