Information on Result #1027434
Linear OOA(4187, 64, F4, 3, 158) (dual of [(64, 3), 5, 159]-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(4163, 56, F4, 3, 139) (dual of [(56, 3), 5, 140]-NRT-code), using
- repeating each code word 4 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 4 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(4187, 64, F4, 3, 157) (dual of [(64, 3), 5, 158]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4187, 64, F4, 3, 156) (dual of [(64, 3), 5, 157]-NRT-code) | [i] | ||
| 3 | Linear OOA(4187, 64, F4, 3, 155) (dual of [(64, 3), 5, 156]-NRT-code) | [i] | ||
| 4 | Linear OOA(4187, 64, F4, 3, 154) (dual of [(64, 3), 5, 155]-NRT-code) | [i] | ||
| 5 | Linear OOA(4187, 64, F4, 3, 153) (dual of [(64, 3), 5, 154]-NRT-code) | [i] | ||
| 6 | Linear OOA(4187, 64, F4, 3, 152) (dual of [(64, 3), 5, 153]-NRT-code) | [i] | ||
| 7 | Linear OOA(4211, 72, F4, 3, 177) (dual of [(72, 3), 5, 178]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 8 | Linear OOA(4214, 73, F4, 3, 180) (dual of [(73, 3), 5, 181]-NRT-code) | [i] | ||