Information on Result #942107
Linear OOA(4239, 121, F4, 2, 203) (dual of [(121, 2), 3, 204]-NRT-code), using juxtaposition based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [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,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4221, 112, F4, 2, 188) (dual of [(112, 2), 3, 189]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) (see above)
- linear OOA(4203, 103, F4, 2, 173) (dual of [(103, 2), 3, 174]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(415, 9, F4, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code) (see above)
- linear OOA(4185, 94, F4, 2, 158) (dual of [(94, 2), 3, 159]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,4) [i]
- linear OOA(4175, 89, F4, 2, 150) (dual of [(89, 2), 3, 151]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code) (see above)
- linear OOA(4165, 84, F4, 2, 142) (dual of [(84, 2), 3, 143]-NRT-code), using
- 1 step truncation [i] based on 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
- 1 step truncation [i] based on linear OOA(4166, 85, F4, 2, 143) (dual of [(85, 2), 4, 144]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(47, 5, F4, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
- juxtaposition [i] based on
- 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(4236, 119, F4, 2, 200) (dual of [(119, 2), 2, 201]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4234, 118, F4, 2, 198) (dual of [(118, 2), 2, 199]-NRT-code) | [i] | ||
| 3 | Linear OOA(4232, 117, F4, 2, 196) (dual of [(117, 2), 2, 197]-NRT-code) | [i] | ||
| 4 | Linear OOA(4226, 114, F4, 2, 190) (dual of [(114, 2), 2, 191]-NRT-code) | [i] | ||
| 5 | Linear OOA(4257, 130, F4, 2, 218) (dual of [(130, 2), 3, 219]-NRT-code) | [i] | Juxtaposition for OOAs | |