Information on Result #1027349
Linear OOA(4186, 64, F4, 3, 153) (dual of [(64, 3), 6, 154]-NRT-code), using juxtaposition based on
- linear OOA(418, 8, F4, 3, 17) (dual of [(8, 3), 6, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(418, 9, F4, 3, 17) (dual of [(9, 3), 9, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,9P) [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,9P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(418, 9, F4, 3, 17) (dual of [(9, 3), 9, 18]-NRT-code), using
- linear OOA(4162, 56, F4, 3, 135) (dual of [(56, 3), 6, 136]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(436, 14, F4, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- repeating each code word 4 times [i] based on linear OOA(436, 14, F4, 3, 33) (dual of [(14, 3), 6, 34]-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(4186, 64, F4, 3, 152) (dual of [(64, 3), 6, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4186, 64, F4, 3, 151) (dual of [(64, 3), 6, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(4186, 64, F4, 3, 150) (dual of [(64, 3), 6, 151]-NRT-code) | [i] | ||
| 4 | Linear OOA(4186, 64, F4, 3, 149) (dual of [(64, 3), 6, 150]-NRT-code) | [i] | ||