Information on Result #906282
Linear OOA(459, 32, F4, 2, 47) (dual of [(32, 2), 5, 48]-NRT-code), using generalized (u, u+v)-construction 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(415, 8, F4, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
- dual of repetition NRT-code with length 8 [i]
- linear OOA(416, 8, F4, 2, 16) (dual of [(8, 2), 0, 17]-NRT-code), using
- linear OOA(416, 8, F4, 2, 16) (dual of [(8, 2), 0, 17]-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(459, 32, F4, 2, 46) (dual of [(32, 2), 5, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(459, 32, F4, 2, 45) (dual of [(32, 2), 5, 46]-NRT-code) | [i] | ||
| 3 | Linear OOA(457, 31, F4, 2, 45) (dual of [(31, 2), 5, 46]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(455, 30, F4, 2, 43) (dual of [(30, 2), 5, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(4187, 96, F4, 2, 143) (dual of [(96, 2), 5, 144]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 6 | Linear OOA(487, 46, F4, 2, 68) (dual of [(46, 2), 5, 69]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(4169, 87, F4, 2, 130) (dual of [(87, 2), 5, 131]-NRT-code) | [i] | ||
| 8 | Linear OOA(4197, 101, F4, 2, 151) (dual of [(101, 2), 5, 152]-NRT-code) | [i] | ||
| 9 | Linear OOA(4225, 115, F4, 2, 172) (dual of [(115, 2), 5, 173]-NRT-code) | [i] | ||
| 10 | Linear OOA(4253, 129, F4, 2, 193) (dual of [(129, 2), 5, 194]-NRT-code) | [i] | ||
| 11 | Linear OOA(4237, 121, F4, 2, 190) (dual of [(121, 2), 5, 191]-NRT-code) | [i] | ||
| 12 | Linear OOA(4239, 122, F4, 2, 191) (dual of [(122, 2), 5, 192]-NRT-code) | [i] | ||