Information on Result #941925
Linear OOA(4255, 130, F4, 2, 202) (dual of [(130, 2), 5, 203]-NRT-code), using juxtaposition based on
- linear OOA(415, 10, F4, 2, 13) (dual of [(10, 2), 5, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,6P) [i] based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, using
- linear OOA(4235, 120, F4, 2, 188) (dual of [(120, 2), 5, 189]-NRT-code), using
- 2 step truncation [i] based on linear OOA(4237, 121, F4, 2, 190) (dual of [(121, 2), 5, 191]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(459, 32, F4, 2, 47) (dual of [(32, 2), 5, 48]-NRT-code), using
- generalized (u, u+v)-construction [i] 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)
- linear OOA(412, 8, F4, 2, 11) (dual of [(8, 2), 4, 12]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(4173, 89, F4, 2, 142) (dual of [(89, 2), 5, 143]-NRT-code), using
- 1 step truncation [i] based on linear OOA(4174, 90, F4, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- Denniston code D(1,16) [i]
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- concatenation of two NRT-codes [i] based on
- 1 step truncation [i] based on linear OOA(4174, 90, F4, 2, 143) (dual of [(90, 2), 6, 144]-NRT-code), using
- linear OOA(459, 32, F4, 2, 47) (dual of [(32, 2), 5, 48]-NRT-code), using
- juxtaposition [i] based on
- 2 step truncation [i] based on linear OOA(4237, 121, F4, 2, 190) (dual of [(121, 2), 5, 191]-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(4255, 130, F4, 2, 201) (dual of [(130, 2), 5, 202]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4255, 130, F4, 2, 200) (dual of [(130, 2), 5, 201]-NRT-code) | [i] | ||
| 3 | Linear OOA(4255, 130, F4, 2, 199) (dual of [(130, 2), 5, 200]-NRT-code) | [i] | ||
| 4 | Linear OOA(4255, 130, F4, 2, 198) (dual of [(130, 2), 5, 199]-NRT-code) | [i] | ||
| 5 | Linear OOA(4255, 130, F4, 2, 197) (dual of [(130, 2), 5, 198]-NRT-code) | [i] | ||
| 6 | Linear OOA(4255, 130, F4, 2, 196) (dual of [(130, 2), 5, 197]-NRT-code) | [i] | ||
| 7 | Linear OOA(4255, 130, F4, 2, 195) (dual of [(130, 2), 5, 196]-NRT-code) | [i] | ||