Information on Result #909892
Linear OOA(455, 29, F4, 2, 46) (dual of [(29, 2), 3, 47]-NRT-code), using juxtaposition based on
- linear OOA(43, 3, F4, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,4) [i]
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- linear OOA(449, 26, F4, 2, 42) (dual of [(26, 2), 3, 43]-NRT-code), using
- 2 step truncation [i] based on linear OOA(451, 27, F4, 2, 44) (dual of [(27, 2), 3, 45]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [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,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 3 times [i] based on linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- 2 step truncation [i] based on linear OOA(451, 27, F4, 2, 44) (dual of [(27, 2), 3, 45]-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(455, 29, F4, 2, 45) (dual of [(29, 2), 3, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(455, 29, F4, 2, 44) (dual of [(29, 2), 3, 45]-NRT-code) | [i] | ||