Information on Result #1027432
Linear OOA(4145, 50, F4, 3, 123) (dual of [(50, 3), 5, 124]-NRT-code), using juxtaposition based on
- linear OOA(419, 8, F4, 3, 18) (dual of [(8, 3), 5, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(419, 9, F4, 3, 18) (dual of [(9, 3), 8, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [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,8P) [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(419, 9, F4, 3, 18) (dual of [(9, 3), 8, 19]-NRT-code), using
- linear OOA(4121, 42, F4, 3, 104) (dual of [(42, 3), 5, 105]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-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(4145, 50, F4, 3, 122) (dual of [(50, 3), 5, 123]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4145, 50, F4, 3, 121) (dual of [(50, 3), 5, 122]-NRT-code) | [i] | ||
| 3 | Linear OOA(4145, 50, F4, 3, 120) (dual of [(50, 3), 5, 121]-NRT-code) | [i] | ||
| 4 | Linear OOA(4145, 50, F4, 3, 119) (dual of [(50, 3), 5, 120]-NRT-code) | [i] | ||
| 5 | Linear OOA(4169, 58, F4, 3, 142) (dual of [(58, 3), 5, 143]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 6 | Linear OOA(4172, 59, F4, 3, 145) (dual of [(59, 3), 5, 146]-NRT-code) | [i] | ||