Information on Result #909843
Linear OOA(4124, 64, F4, 2, 99) (dual of [(64, 2), 4, 100]-NRT-code), using juxtaposition based on
- linear OOA(412, 8, F4, 2, 11) (dual of [(8, 2), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 2, 11) (dual of [(9, 2), 6, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,6P) [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(2;F,6P) [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(412, 9, F4, 2, 11) (dual of [(9, 2), 6, 12]-NRT-code), using
- linear OOA(4108, 56, F4, 2, 87) (dual of [(56, 2), 4, 88]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(424, 14, F4, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,6P) [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(424, 14, F4, 2, 21) (dual of [(14, 2), 4, 22]-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(4142, 73, F4, 2, 113) (dual of [(73, 2), 4, 114]-NRT-code) | [i] | Juxtaposition for OOAs | |