Information on Result #942015
Linear OOA(4222, 113, F4, 2, 186) (dual of [(113, 2), 4, 187]-NRT-code), using juxtaposition based on
- linear OOA(416, 10, F4, 2, 14) (dual of [(10, 2), 4, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, using
- linear OOA(4202, 103, F4, 2, 171) (dual of [(103, 2), 4, 172]-NRT-code), using
- juxtaposition [i] 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(4184, 94, F4, 2, 157) (dual of [(94, 2), 4, 158]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(414, 9, F4, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code) (see above)
- linear OOA(4166, 85, F4, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- extended Reed–Solomon code RSe(2,16) [i]
- Simplex code S(2,16) [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, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- concatenation of two NRT-codes [i] based on
- juxtaposition [i] based on
- linear OOA(414, 9, F4, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
- juxtaposition [i] based on
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(4222, 113, F4, 2, 185) (dual of [(113, 2), 4, 186]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4222, 113, F4, 2, 184) (dual of [(113, 2), 4, 185]-NRT-code) | [i] | ||
| 3 | Linear OOA(4222, 113, F4, 2, 183) (dual of [(113, 2), 4, 184]-NRT-code) | [i] | ||
| 4 | Linear OOA(4222, 113, F4, 2, 182) (dual of [(113, 2), 4, 183]-NRT-code) | [i] | ||
| 5 | Linear OOA(4222, 113, F4, 2, 181) (dual of [(113, 2), 4, 182]-NRT-code) | [i] | ||
| 6 | Linear OOA(4222, 113, F4, 2, 180) (dual of [(113, 2), 4, 181]-NRT-code) | [i] | ||
| 7 | Linear OOA(4222, 113, F4, 2, 179) (dual of [(113, 2), 4, 180]-NRT-code) | [i] | ||
| 8 | Linear OOA(4222, 113, F4, 2, 178) (dual of [(113, 2), 4, 179]-NRT-code) | [i] | ||