Information on Result #942030
Linear OOA(4240, 122, F4, 2, 201) (dual of [(122, 2), 4, 202]-NRT-code), using juxtaposition based on
- linear OOA(424, 14, F4, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,6P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(4212, 108, F4, 2, 179) (dual of [(108, 2), 4, 180]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(424, 14, F4, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code) (see above)
- 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), 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(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
- linear OOA(414, 9, F4, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
- juxtaposition [i] based on
- 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(4240, 122, F4, 2, 200) (dual of [(122, 2), 4, 201]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4240, 122, F4, 2, 199) (dual of [(122, 2), 4, 200]-NRT-code) | [i] | ||
| 3 | Linear OOA(4240, 122, F4, 2, 198) (dual of [(122, 2), 4, 199]-NRT-code) | [i] | ||
| 4 | Linear OOA(4240, 122, F4, 2, 197) (dual of [(122, 2), 4, 198]-NRT-code) | [i] | ||
| 5 | Linear OOA(4240, 122, F4, 2, 196) (dual of [(122, 2), 4, 197]-NRT-code) | [i] | ||
| 6 | Linear OOA(4240, 122, F4, 2, 195) (dual of [(122, 2), 4, 196]-NRT-code) | [i] | ||
| 7 | Linear OOA(4240, 122, F4, 2, 194) (dual of [(122, 2), 4, 195]-NRT-code) | [i] | ||
| 8 | Linear OOA(4240, 122, F4, 2, 193) (dual of [(122, 2), 4, 194]-NRT-code) | [i] | ||
| 9 | Linear OOA(4240, 122, F4, 2, 192) (dual of [(122, 2), 4, 193]-NRT-code) | [i] | ||
| 10 | Linear OOA(4240, 122, F4, 2, 191) (dual of [(122, 2), 4, 192]-NRT-code) | [i] | ||
| 11 | Linear OOA(4234, 119, F4, 2, 195) (dual of [(119, 2), 4, 196]-NRT-code) | [i] | Truncation for OOAs | |