Information on Result #909858
Linear OOA(498, 51, F4, 2, 79) (dual of [(51, 2), 4, 80]-NRT-code), using juxtaposition based on
- linear OOA(414, 9, F4, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [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,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(480, 42, F4, 2, 65) (dual of [(42, 2), 4, 66]-NRT-code), using
- repeating each code word 3 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 3 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(498, 51, F4, 2, 78) (dual of [(51, 2), 4, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(498, 51, F4, 2, 77) (dual of [(51, 2), 4, 78]-NRT-code) | [i] | ||
| 3 | Linear OOA(4116, 60, F4, 2, 93) (dual of [(60, 2), 4, 94]-NRT-code) | [i] | Juxtaposition for OOAs | |