Information on Result #880826
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) based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
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(433, 18, F4, 2, 29) (dual of [(18, 2), 3, 30]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(451, 27, F4, 2, 44) (dual of [(27, 2), 3, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(469, 36, F4, 2, 59) (dual of [(36, 2), 3, 60]-NRT-code) | [i] | ||
| 4 | Linear OOA(487, 45, F4, 2, 74) (dual of [(45, 2), 3, 75]-NRT-code) | [i] | ||
| 5 | Linear OOA(4105, 54, F4, 2, 89) (dual of [(54, 2), 3, 90]-NRT-code) | [i] | ||
| 6 | Linear OOA(4123, 63, F4, 2, 104) (dual of [(63, 2), 3, 105]-NRT-code) | [i] | ||
| 7 | Linear OOA(4141, 72, F4, 2, 119) (dual of [(72, 2), 3, 120]-NRT-code) | [i] | ||
| 8 | Linear OOA(4159, 81, F4, 2, 134) (dual of [(81, 2), 3, 135]-NRT-code) | [i] | ||
| 9 | Linear OOA(4177, 90, F4, 2, 149) (dual of [(90, 2), 3, 150]-NRT-code) | [i] | ||
| 10 | Linear OOA(4195, 99, F4, 2, 164) (dual of [(99, 2), 3, 165]-NRT-code) | [i] | ||
| 11 | Linear OOA(4213, 108, F4, 2, 179) (dual of [(108, 2), 3, 180]-NRT-code) | [i] | ||
| 12 | Linear OOA(4231, 117, F4, 2, 194) (dual of [(117, 2), 3, 195]-NRT-code) | [i] | ||
| 13 | Linear OOA(4249, 126, F4, 2, 209) (dual of [(126, 2), 3, 210]-NRT-code) | [i] | ||
| 14 | Linear OOA(483, 139, F4, 2, 28) (dual of [(139, 2), 195, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 15 | Linear OOA(485, 139, F4, 2, 29) (dual of [(139, 2), 193, 30]-NRT-code) | [i] | ||
| 16 | Linear OOA(474, 39, F4, 2, 59) (dual of [(39, 2), 4, 60]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 17 | Linear OOA(463, 36, F4, 2, 44) (dual of [(36, 2), 9, 45]-NRT-code) | [i] | ||
| 18 | Linear OOA(462, 36, F4, 2, 43) (dual of [(36, 2), 10, 44]-NRT-code) | [i] | ||
| 19 | Linear OOA(4183, 93, F4, 2, 157) (dual of [(93, 2), 3, 158]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 20 | Linear OOA(4193, 98, F4, 2, 165) (dual of [(98, 2), 3, 166]-NRT-code) | [i] | ||
| 21 | Linear OOA(4199, 101, F4, 2, 170) (dual of [(101, 2), 3, 171]-NRT-code) | [i] | ||
| 22 | Linear OOA(4201, 102, F4, 2, 172) (dual of [(102, 2), 3, 173]-NRT-code) | [i] | ||
| 23 | Linear OOA(4203, 103, F4, 2, 173) (dual of [(103, 2), 3, 174]-NRT-code) | [i] | ||
| 24 | Linear OOA(4209, 106, F4, 2, 178) (dual of [(106, 2), 3, 179]-NRT-code) | [i] | ||
| 25 | Linear OOA(4211, 107, F4, 2, 180) (dual of [(107, 2), 3, 181]-NRT-code) | [i] | ||
| 26 | Linear OOA(4215, 109, F4, 2, 183) (dual of [(109, 2), 3, 184]-NRT-code) | [i] | ||
| 27 | Linear OOA(4217, 110, F4, 2, 185) (dual of [(110, 2), 3, 186]-NRT-code) | [i] | ||
| 28 | Linear OOA(4219, 111, F4, 2, 187) (dual of [(111, 2), 3, 188]-NRT-code) | [i] | ||
| 29 | Linear OOA(4221, 112, F4, 2, 188) (dual of [(112, 2), 3, 189]-NRT-code) | [i] | ||
| 30 | Linear OOA(4225, 114, F4, 2, 191) (dual of [(114, 2), 3, 192]-NRT-code) | [i] | ||
| 31 | Linear OOA(4227, 115, F4, 2, 193) (dual of [(115, 2), 3, 194]-NRT-code) | [i] | ||
| 32 | Linear OOA(4229, 116, F4, 2, 195) (dual of [(116, 2), 3, 196]-NRT-code) | [i] | ||
| 33 | Linear OOA(4231, 117, F4, 2, 196) (dual of [(117, 2), 3, 197]-NRT-code) | [i] | ||
| 34 | Linear OOA(4233, 118, F4, 2, 198) (dual of [(118, 2), 3, 199]-NRT-code) | [i] | ||
| 35 | Linear OOA(4235, 119, F4, 2, 200) (dual of [(119, 2), 3, 201]-NRT-code) | [i] | ||
| 36 | Linear OOA(4237, 120, F4, 2, 202) (dual of [(120, 2), 3, 203]-NRT-code) | [i] | ||
| 37 | Linear OOA(4239, 121, F4, 2, 203) (dual of [(121, 2), 3, 204]-NRT-code) | [i] | ||
| 38 | Linear OOA(4241, 122, F4, 2, 204) (dual of [(122, 2), 3, 205]-NRT-code) | [i] | ||
| 39 | Linear OOA(4243, 123, F4, 2, 206) (dual of [(123, 2), 3, 207]-NRT-code) | [i] | ||
| 40 | Linear OOA(4245, 124, F4, 2, 208) (dual of [(124, 2), 3, 209]-NRT-code) | [i] | ||
| 41 | Linear OOA(4247, 125, F4, 2, 210) (dual of [(125, 2), 3, 211]-NRT-code) | [i] | ||
| 42 | Linear OOA(4249, 126, F4, 2, 211) (dual of [(126, 2), 3, 212]-NRT-code) | [i] | ||
| 43 | Linear OOA(4251, 127, F4, 2, 213) (dual of [(127, 2), 3, 214]-NRT-code) | [i] | ||
| 44 | Linear OOA(4253, 128, F4, 2, 215) (dual of [(128, 2), 3, 216]-NRT-code) | [i] | ||
| 45 | Linear OOA(4255, 129, F4, 2, 217) (dual of [(129, 2), 3, 218]-NRT-code) | [i] | ||
| 46 | Linear OOA(4257, 130, F4, 2, 218) (dual of [(130, 2), 3, 219]-NRT-code) | [i] | ||
| 47 | Linear OOA(4259, 131, F4, 2, 219) (dual of [(131, 2), 3, 220]-NRT-code) | [i] | ||
| 48 | Linear OOA(4246, 126, F4, 2, 194) (dual of [(126, 2), 6, 195]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |