Information on Result #887031
Linear OOA(16125, 64, F16, 2, 122) (dual of [(64, 2), 3, 123]-NRT-code), using algebraic-geometric NRT-code AG(2;F,5P) with known gap numbers based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(16125, 64, F16, 2, 121) (dual of [(64, 2), 3, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(16129, 66, F16, 2, 125) (dual of [(66, 2), 3, 126]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 3 | Linear OOA(16128, 66, F16, 2, 122) (dual of [(66, 2), 4, 123]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(16127, 66, F16, 2, 121) (dual of [(66, 2), 5, 122]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(16129, 67, F16, 2, 122) (dual of [(67, 2), 5, 123]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(16128, 67, F16, 2, 121) (dual of [(67, 2), 6, 122]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(16129, 68, F16, 2, 120) (dual of [(68, 2), 7, 121]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(16130, 69, F16, 2, 120) (dual of [(69, 2), 8, 121]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(16127, 65, F16, 2, 124) (dual of [(65, 2), 3, 125]-NRT-code) | [i] | ✔ | Standard Lengthening for NRT-Codes |