Information on Result #880825
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) 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(432, 18, F4, 2, 27) (dual of [(18, 2), 4, 28]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(450, 27, F4, 2, 41) (dual of [(27, 2), 4, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(468, 36, F4, 2, 55) (dual of [(36, 2), 4, 56]-NRT-code) | [i] | ||
| 4 | Linear OOA(486, 45, F4, 2, 69) (dual of [(45, 2), 4, 70]-NRT-code) | [i] | ||
| 5 | Linear OOA(4104, 54, F4, 2, 83) (dual of [(54, 2), 4, 84]-NRT-code) | [i] | ||
| 6 | Linear OOA(4122, 63, F4, 2, 97) (dual of [(63, 2), 4, 98]-NRT-code) | [i] | ||
| 7 | Linear OOA(4140, 72, F4, 2, 111) (dual of [(72, 2), 4, 112]-NRT-code) | [i] | ||
| 8 | Linear OOA(4158, 81, F4, 2, 125) (dual of [(81, 2), 4, 126]-NRT-code) | [i] | ||
| 9 | Linear OOA(4176, 90, F4, 2, 139) (dual of [(90, 2), 4, 140]-NRT-code) | [i] | ||
| 10 | Linear OOA(4194, 99, F4, 2, 153) (dual of [(99, 2), 4, 154]-NRT-code) | [i] | ||
| 11 | Linear OOA(4212, 108, F4, 2, 167) (dual of [(108, 2), 4, 168]-NRT-code) | [i] | ||
| 12 | Linear OOA(4230, 117, F4, 2, 181) (dual of [(117, 2), 4, 182]-NRT-code) | [i] | ||
| 13 | Linear OOA(4248, 126, F4, 2, 195) (dual of [(126, 2), 4, 196]-NRT-code) | [i] | ||
| 14 | Linear OOA(4243, 4194310, F4, 2, 26) (dual of [(4194310, 2), 8388377, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 15 | Linear OOA(480, 139, F4, 2, 27) (dual of [(139, 2), 198, 28]-NRT-code) | [i] | ||
| 16 | Linear OOA(4255, 4194310, F4, 2, 27) (dual of [(4194310, 2), 8388365, 28]-NRT-code) | [i] | ||
| 17 | Linear OOA(467, 36, F4, 2, 53) (dual of [(36, 2), 5, 54]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 18 | Linear OOA(461, 36, F4, 2, 41) (dual of [(36, 2), 11, 42]-NRT-code) | [i] | ||
| 19 | Linear OOA(463, 38, F4, 2, 39) (dual of [(38, 2), 13, 40]-NRT-code) | [i] | ||
| 20 | Linear OOA(442, 23, F4, 2, 35) (dual of [(23, 2), 4, 36]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 21 | Linear OOA(444, 24, F4, 2, 36) (dual of [(24, 2), 4, 37]-NRT-code) | [i] | ||
| 22 | Linear OOA(458, 31, F4, 2, 47) (dual of [(31, 2), 4, 48]-NRT-code) | [i] | ||
| 23 | Linear OOA(460, 32, F4, 2, 49) (dual of [(32, 2), 4, 50]-NRT-code) | [i] | ||
| 24 | Linear OOA(470, 37, F4, 2, 57) (dual of [(37, 2), 4, 58]-NRT-code) | [i] | ||
| 25 | Linear OOA(488, 46, F4, 2, 71) (dual of [(46, 2), 4, 72]-NRT-code) | [i] | ||
| 26 | Linear OOA(498, 51, F4, 2, 79) (dual of [(51, 2), 4, 80]-NRT-code) | [i] | ||
| 27 | Linear OOA(4114, 59, F4, 2, 91) (dual of [(59, 2), 4, 92]-NRT-code) | [i] | ||
| 28 | Linear OOA(4116, 60, F4, 2, 93) (dual of [(60, 2), 4, 94]-NRT-code) | [i] | ||
| 29 | Linear OOA(4126, 65, F4, 2, 101) (dual of [(65, 2), 4, 102]-NRT-code) | [i] | ||
| 30 | Linear OOA(4142, 73, F4, 2, 113) (dual of [(73, 2), 4, 114]-NRT-code) | [i] | ||
| 31 | Linear OOA(4144, 74, F4, 2, 115) (dual of [(74, 2), 4, 116]-NRT-code) | [i] | ||
| 32 | Linear OOA(4154, 79, F4, 2, 123) (dual of [(79, 2), 4, 124]-NRT-code) | [i] | ||
| 33 | Linear OOA(4170, 87, F4, 2, 135) (dual of [(87, 2), 4, 136]-NRT-code) | [i] | ||
| 34 | Linear OOA(4172, 88, F4, 2, 137) (dual of [(88, 2), 4, 138]-NRT-code) | [i] | ||
| 35 | Linear OOA(4182, 93, F4, 2, 145) (dual of [(93, 2), 4, 146]-NRT-code) | [i] | ||
| 36 | Linear OOA(4198, 101, F4, 2, 157) (dual of [(101, 2), 4, 158]-NRT-code) | [i] | ||
| 37 | Linear OOA(4200, 102, F4, 2, 159) (dual of [(102, 2), 4, 160]-NRT-code) | [i] | ||
| 38 | Linear OOA(4210, 107, F4, 2, 167) (dual of [(107, 2), 4, 168]-NRT-code) | [i] | ||
| 39 | Linear OOA(4226, 115, F4, 2, 179) (dual of [(115, 2), 4, 180]-NRT-code) | [i] | ||
| 40 | Linear OOA(4228, 116, F4, 2, 181) (dual of [(116, 2), 4, 182]-NRT-code) | [i] | ||
| 41 | Linear OOA(4238, 121, F4, 2, 189) (dual of [(121, 2), 4, 190]-NRT-code) | [i] | ||
| 42 | Linear OOA(4254, 129, F4, 2, 201) (dual of [(129, 2), 4, 202]-NRT-code) | [i] | ||
| 43 | Linear OOA(4256, 130, F4, 2, 203) (dual of [(130, 2), 4, 204]-NRT-code) | [i] | ||
| 44 | Linear OOA(4184, 94, F4, 2, 157) (dual of [(94, 2), 4, 158]-NRT-code) | [i] | ||
| 45 | Linear OOA(4194, 99, F4, 2, 164) (dual of [(99, 2), 4, 165]-NRT-code) | [i] | ||
| 46 | Linear OOA(4200, 102, F4, 2, 169) (dual of [(102, 2), 4, 170]-NRT-code) | [i] | ||
| 47 | Linear OOA(4202, 103, F4, 2, 171) (dual of [(103, 2), 4, 172]-NRT-code) | [i] | ||
| 48 | Linear OOA(4210, 107, F4, 2, 176) (dual of [(107, 2), 4, 177]-NRT-code) | [i] | ||
| 49 | Linear OOA(4212, 108, F4, 2, 178) (dual of [(108, 2), 4, 179]-NRT-code) | [i] | ||
| 50 | Linear OOA(4216, 110, F4, 2, 181) (dual of [(110, 2), 4, 182]-NRT-code) | [i] | ||
| 51 | Linear OOA(4218, 111, F4, 2, 183) (dual of [(111, 2), 4, 184]-NRT-code) | [i] | ||
| 52 | Linear OOA(4220, 112, F4, 2, 185) (dual of [(112, 2), 4, 186]-NRT-code) | [i] | ||
| 53 | Linear OOA(4228, 116, F4, 2, 190) (dual of [(116, 2), 4, 191]-NRT-code) | [i] | ||
| 54 | Linear OOA(4230, 117, F4, 2, 192) (dual of [(117, 2), 4, 193]-NRT-code) | [i] | ||
| 55 | Linear OOA(4238, 121, F4, 2, 199) (dual of [(121, 2), 4, 200]-NRT-code) | [i] | ||