Information on Result #1024279
Linear OOA(4164, 56, F4, 3, 139) (dual of [(56, 3), 4, 140]-NRT-code), using repeating each code word 7 times based on linear OOA(420, 8, F4, 3, 19) (dual of [(8, 3), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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,7P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, 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(4164, 56, F4, 3, 138) (dual of [(56, 3), 4, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4164, 56, F4, 3, 137) (dual of [(56, 3), 4, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(4164, 56, F4, 3, 136) (dual of [(56, 3), 4, 137]-NRT-code) | [i] | ||