Information on Result #908419
Linear OOA(9141, 72, F9, 2, 131) (dual of [(72, 2), 3, 132]-NRT-code), using repeating each code word 3 times based on linear OOA(945, 24, F9, 2, 43) (dual of [(24, 2), 3, 44]-NRT-code), using
- 8 step truncation [i] based on linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
- standard lengthening with (d0,…,d1) = (50,51) [i] based on linear OOA(951, 27, F9, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [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(9141, 72, F9, 2, 130) (dual of [(72, 2), 3, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9141, 72, F9, 2, 129) (dual of [(72, 2), 3, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(9141, 72, F9, 2, 128) (dual of [(72, 2), 3, 129]-NRT-code) | [i] | ||