Information on Result #887037
Linear OOA(16122, 64, F16, 2, 117) (dual of [(64, 2), 6, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) 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(16130, 67, F16, 2, 122) (dual of [(67, 2), 4, 123]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 2 | Linear OOA(16124, 66, F16, 2, 117) (dual of [(66, 2), 8, 118]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 3 | Linear OOA(16129, 67, F16, 2, 122) (dual of [(67, 2), 5, 123]-NRT-code) | [i] | ✔ | |
| 4 | Linear OOA(16128, 67, F16, 2, 121) (dual of [(67, 2), 6, 122]-NRT-code) | [i] | ✔ | |
| 5 | Linear OOA(16125, 67, F16, 2, 117) (dual of [(67, 2), 9, 118]-NRT-code) | [i] | ✔ | |
| 6 | Linear OOA(16126, 68, F16, 2, 117) (dual of [(68, 2), 10, 118]-NRT-code) | [i] | ✔ | |
| 7 | Linear OOA(16127, 69, F16, 2, 117) (dual of [(69, 2), 11, 118]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(16128, 70, F16, 2, 117) (dual of [(70, 2), 12, 118]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(16129, 71, F16, 2, 117) (dual of [(71, 2), 13, 118]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(16130, 72, F16, 2, 117) (dual of [(72, 2), 14, 118]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(16124, 65, F16, 2, 119) (dual of [(65, 2), 6, 120]-NRT-code) | [i] | ✔ | Standard Lengthening for NRT-Codes |