Information on Result #1027283
Linear OOA(498, 35, F4, 3, 81) (dual of [(35, 3), 7, 82]-NRT-code), using juxtaposition based on
- linear OOA(417, 8, F4, 3, 16) (dual of [(8, 3), 7, 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(474, 27, F4, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, 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(498, 35, F4, 3, 80) (dual of [(35, 3), 7, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(498, 35, F4, 3, 79) (dual of [(35, 3), 7, 80]-NRT-code) | [i] | ||