Information on Result #1027505
Linear OOA(4227, 77, F4, 3, 196) (dual of [(77, 3), 4, 197]-NRT-code), using juxtaposition based on
- linear OOA(417, 7, F4, 3, 16) (dual of [(7, 3), 4, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(417, 9, F4, 3, 16) (dual of [(9, 3), 10, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [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,10P) [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(417, 9, F4, 3, 16) (dual of [(9, 3), 10, 17]-NRT-code), using
- linear OOA(4206, 70, F4, 3, 179) (dual of [(70, 3), 4, 180]-NRT-code), using
- repeating each code word 5 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 5 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(4251, 85, F4, 3, 216) (dual of [(85, 3), 4, 217]-NRT-code) | [i] | Juxtaposition for OOAs | |