Information on Result #906276
Linear OOA(467, 36, F4, 2, 53) (dual of [(36, 2), 5, 54]-NRT-code), using generalized (u, u+v)-construction 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(417, 9, F4, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
- dual of repetition NRT-code with length 9 [i]
- linear OOA(418, 9, F4, 2, 18) (dual of [(9, 2), 0, 19]-NRT-code), using
- linear OOA(418, 9, F4, 2, 18) (dual of [(9, 2), 0, 19]-NRT-code) (see above)
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(467, 36, F4, 2, 52) (dual of [(36, 2), 5, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(467, 36, F4, 2, 51) (dual of [(36, 2), 5, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(467, 36, F4, 2, 50) (dual of [(36, 2), 5, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(466, 35, F4, 2, 52) (dual of [(35, 2), 4, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(465, 35, F4, 2, 51) (dual of [(35, 2), 5, 52]-NRT-code) | [i] | ||
| 6 | Linear OOA(464, 34, F4, 2, 50) (dual of [(34, 2), 4, 51]-NRT-code) | [i] | ||
| 7 | Linear OOA(463, 34, F4, 2, 49) (dual of [(34, 2), 5, 50]-NRT-code) | [i] | ||
| 8 | Linear OOA(461, 33, F4, 2, 47) (dual of [(33, 2), 5, 48]-NRT-code) | [i] | ||
| 9 | Linear OOA(4139, 72, F4, 2, 107) (dual of [(72, 2), 5, 108]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 10 | Linear OOA(483, 44, F4, 2, 64) (dual of [(44, 2), 5, 65]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 11 | Linear OOA(485, 45, F4, 2, 66) (dual of [(45, 2), 5, 67]-NRT-code) | [i] | ||
| 12 | Linear OOA(495, 50, F4, 2, 74) (dual of [(50, 2), 5, 75]-NRT-code) | [i] | ||
| 13 | Linear OOA(4177, 91, F4, 2, 136) (dual of [(91, 2), 5, 137]-NRT-code) | [i] | ||
| 14 | Linear OOA(4205, 105, F4, 2, 157) (dual of [(105, 2), 5, 158]-NRT-code) | [i] | ||
| 15 | Linear OOA(4245, 125, F4, 2, 196) (dual of [(125, 2), 5, 197]-NRT-code) | [i] | ||