Information on Result #1027522
Linear OOA(4176, 60, F4, 3, 153) (dual of [(60, 3), 4, 154]-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(4149, 51, F4, 3, 130) (dual of [(51, 3), 4, 131]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(423, 9, F4, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code) (see above)
- 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
- juxtaposition [i] based on
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(4175, 59, F4, 3, 152) (dual of [(59, 3), 2, 153]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4172, 58, F4, 3, 149) (dual of [(58, 3), 2, 150]-NRT-code) | [i] | ||
| 3 | Linear OOA(4161, 55, F4, 3, 138) (dual of [(55, 3), 4, 139]-NRT-code) | [i] | ||
| 4 | Linear OOA(4157, 53, F4, 3, 134) (dual of [(53, 3), 2, 135]-NRT-code) | [i] | ||
| 5 | Linear OOA(4156, 53, F4, 3, 133) (dual of [(53, 3), 3, 134]-NRT-code) | [i] | ||
| 6 | Linear OOA(4155, 53, F4, 3, 132) (dual of [(53, 3), 4, 133]-NRT-code) | [i] | ||
| 7 | Linear OOA(4153, 52, F4, 3, 130) (dual of [(52, 3), 3, 131]-NRT-code) | [i] | ||