Information on Result #1027520
Linear OOA(4149, 51, F4, 3, 130) (dual of [(51, 3), 4, 131]-NRT-code), using juxtaposition based on
- linear OOA(423, 9, F4, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4122, 42, F4, 3, 107) (dual of [(42, 3), 4, 108]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- repeating each code word 3 times [i] based on linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
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(4149, 51, F4, 3, 129) (dual of [(51, 3), 4, 130]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4149, 51, F4, 3, 128) (dual of [(51, 3), 4, 129]-NRT-code) | [i] | ||
| 3 | Linear OOA(4149, 51, F4, 3, 127) (dual of [(51, 3), 4, 128]-NRT-code) | [i] | ||
| 4 | Linear OOA(4149, 51, F4, 3, 126) (dual of [(51, 3), 4, 127]-NRT-code) | [i] | ||
| 5 | Linear OOA(4149, 51, F4, 3, 125) (dual of [(51, 3), 4, 126]-NRT-code) | [i] | ||
| 6 | Linear OOA(4149, 51, F4, 3, 124) (dual of [(51, 3), 4, 125]-NRT-code) | [i] | ||
| 7 | Linear OOA(4145, 49, F4, 3, 126) (dual of [(49, 3), 2, 127]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(4139, 47, F4, 3, 120) (dual of [(47, 3), 2, 121]-NRT-code) | [i] | ||
| 9 | Linear OOA(4136, 46, F4, 3, 117) (dual of [(46, 3), 2, 118]-NRT-code) | [i] | ||
| 10 | Linear OOA(4176, 60, F4, 3, 153) (dual of [(60, 3), 4, 154]-NRT-code) | [i] | Juxtaposition for OOAs | |