Information on Result #880824
Linear OOA(413, 9, F4, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using extended algebraic-geometric NRT-code AGe(2;F,5P) 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(431, 18, F4, 2, 25) (dual of [(18, 2), 5, 26]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(429, 16, F4, 2, 25) (dual of [(16, 2), 3, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(445, 24, F4, 2, 38) (dual of [(24, 2), 3, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(461, 32, F4, 2, 51) (dual of [(32, 2), 3, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(477, 40, F4, 2, 64) (dual of [(40, 2), 3, 65]-NRT-code) | [i] | ||
| 6 | Linear OOA(493, 48, F4, 2, 77) (dual of [(48, 2), 3, 78]-NRT-code) | [i] | ||
| 7 | Linear OOA(4109, 56, F4, 2, 90) (dual of [(56, 2), 3, 91]-NRT-code) | [i] | ||
| 8 | Linear OOA(4125, 64, F4, 2, 103) (dual of [(64, 2), 3, 104]-NRT-code) | [i] | ||
| 9 | Linear OOA(4141, 72, F4, 2, 116) (dual of [(72, 2), 3, 117]-NRT-code) | [i] | ||
| 10 | Linear OOA(4157, 80, F4, 2, 129) (dual of [(80, 2), 3, 130]-NRT-code) | [i] | ||
| 11 | Linear OOA(4173, 88, F4, 2, 142) (dual of [(88, 2), 3, 143]-NRT-code) | [i] | ||
| 12 | Linear OOA(4189, 96, F4, 2, 155) (dual of [(96, 2), 3, 156]-NRT-code) | [i] | ||
| 13 | Linear OOA(4205, 104, F4, 2, 168) (dual of [(104, 2), 3, 169]-NRT-code) | [i] | ||
| 14 | Linear OOA(4221, 112, F4, 2, 181) (dual of [(112, 2), 3, 182]-NRT-code) | [i] | ||
| 15 | Linear OOA(4237, 120, F4, 2, 194) (dual of [(120, 2), 3, 195]-NRT-code) | [i] | ||
| 16 | Linear OOA(4253, 128, F4, 2, 207) (dual of [(128, 2), 3, 208]-NRT-code) | [i] | ||
| 17 | Linear OOA(4229, 4194310, F4, 2, 24) (dual of [(4194310, 2), 8388391, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 18 | Linear OOA(4230, 4194310, F4, 2, 25) (dual of [(4194310, 2), 8388390, 26]-NRT-code) | [i] | ||
| 19 | Linear OOA(466, 36, F4, 2, 51) (dual of [(36, 2), 6, 52]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 20 | Linear OOA(462, 38, F4, 2, 38) (dual of [(38, 2), 14, 39]-NRT-code) | [i] | ||
| 21 | Linear OOA(441, 23, F4, 2, 33) (dual of [(23, 2), 5, 34]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 22 | Linear OOA(443, 24, F4, 2, 34) (dual of [(24, 2), 5, 35]-NRT-code) | [i] | ||
| 23 | Linear OOA(469, 37, F4, 2, 54) (dual of [(37, 2), 5, 55]-NRT-code) | [i] | ||
| 24 | Linear OOA(485, 45, F4, 2, 66) (dual of [(45, 2), 5, 67]-NRT-code) | [i] | ||
| 25 | Linear OOA(493, 49, F4, 2, 72) (dual of [(49, 2), 5, 73]-NRT-code) | [i] | ||
| 26 | Linear OOA(4109, 57, F4, 2, 84) (dual of [(57, 2), 5, 85]-NRT-code) | [i] | ||
| 27 | Linear OOA(4117, 61, F4, 2, 90) (dual of [(61, 2), 5, 91]-NRT-code) | [i] | ||
| 28 | Linear OOA(4125, 65, F4, 2, 96) (dual of [(65, 2), 5, 97]-NRT-code) | [i] | ||
| 29 | Linear OOA(4141, 73, F4, 2, 108) (dual of [(73, 2), 5, 109]-NRT-code) | [i] | ||
| 30 | Linear OOA(4143, 74, F4, 2, 109) (dual of [(74, 2), 5, 110]-NRT-code) | [i] | ||
| 31 | Linear OOA(4149, 77, F4, 2, 114) (dual of [(77, 2), 5, 115]-NRT-code) | [i] | ||
| 32 | Linear OOA(4157, 81, F4, 2, 120) (dual of [(81, 2), 5, 121]-NRT-code) | [i] | ||
| 33 | Linear OOA(4167, 86, F4, 2, 127) (dual of [(86, 2), 5, 128]-NRT-code) | [i] | ||
| 34 | Linear OOA(4173, 89, F4, 2, 132) (dual of [(89, 2), 5, 133]-NRT-code) | [i] | ||
| 35 | Linear OOA(4175, 90, F4, 2, 133) (dual of [(90, 2), 5, 134]-NRT-code) | [i] | ||
| 36 | Linear OOA(4181, 93, F4, 2, 138) (dual of [(93, 2), 5, 139]-NRT-code) | [i] | ||
| 37 | Linear OOA(4205, 105, F4, 2, 156) (dual of [(105, 2), 5, 157]-NRT-code) | [i] | ||
| 38 | Linear OOA(4221, 113, F4, 2, 168) (dual of [(113, 2), 5, 169]-NRT-code) | [i] | ||
| 39 | Linear OOA(4233, 119, F4, 2, 178) (dual of [(119, 2), 5, 179]-NRT-code) | [i] | ||
| 40 | Linear OOA(4237, 121, F4, 2, 180) (dual of [(121, 2), 5, 181]-NRT-code) | [i] | ||
| 41 | Linear OOA(4239, 122, F4, 2, 181) (dual of [(122, 2), 5, 182]-NRT-code) | [i] | ||
| 42 | Linear OOA(4253, 129, F4, 2, 192) (dual of [(129, 2), 5, 193]-NRT-code) | [i] | ||
| 43 | Linear OOA(4255, 130, F4, 2, 193) (dual of [(130, 2), 5, 194]-NRT-code) | [i] | ||
| 44 | Linear OOA(4191, 98, F4, 2, 155) (dual of [(98, 2), 5, 156]-NRT-code) | [i] | ||
| 45 | Linear OOA(4193, 99, F4, 2, 156) (dual of [(99, 2), 5, 157]-NRT-code) | [i] | ||
| 46 | Linear OOA(4209, 107, F4, 2, 168) (dual of [(107, 2), 5, 169]-NRT-code) | [i] | ||
| 47 | Linear OOA(4211, 108, F4, 2, 169) (dual of [(108, 2), 5, 170]-NRT-code) | [i] | ||
| 48 | Linear OOA(4219, 112, F4, 2, 175) (dual of [(112, 2), 5, 176]-NRT-code) | [i] | ||
| 49 | Linear OOA(4251, 128, F4, 2, 200) (dual of [(128, 2), 5, 201]-NRT-code) | [i] | ||
| 50 | Linear OOA(4253, 129, F4, 2, 201) (dual of [(129, 2), 5, 202]-NRT-code) | [i] | ||
| 51 | Linear OOA(4181, 92, F4, 2, 155) (dual of [(92, 2), 3, 156]-NRT-code) | [i] | ||
| 52 | Linear OOA(4191, 97, F4, 2, 163) (dual of [(97, 2), 3, 164]-NRT-code) | [i] | ||
| 53 | Linear OOA(4197, 100, F4, 2, 168) (dual of [(100, 2), 3, 169]-NRT-code) | [i] | ||
| 54 | Linear OOA(4201, 102, F4, 2, 171) (dual of [(102, 2), 3, 172]-NRT-code) | [i] | ||
| 55 | Linear OOA(4207, 105, F4, 2, 176) (dual of [(105, 2), 3, 177]-NRT-code) | [i] | ||
| 56 | Linear OOA(4211, 107, F4, 2, 179) (dual of [(107, 2), 3, 180]-NRT-code) | [i] | ||
| 57 | Linear OOA(4213, 108, F4, 2, 181) (dual of [(108, 2), 3, 182]-NRT-code) | [i] | ||
| 58 | Linear OOA(4217, 110, F4, 2, 184) (dual of [(110, 2), 3, 185]-NRT-code) | [i] | ||
| 59 | Linear OOA(4221, 112, F4, 2, 187) (dual of [(112, 2), 3, 188]-NRT-code) | [i] | ||
| 60 | Linear OOA(4223, 113, F4, 2, 189) (dual of [(113, 2), 3, 190]-NRT-code) | [i] | ||
| 61 | Linear OOA(4227, 115, F4, 2, 192) (dual of [(115, 2), 3, 193]-NRT-code) | [i] | ||
| 62 | Linear OOA(4229, 116, F4, 2, 194) (dual of [(116, 2), 3, 195]-NRT-code) | [i] | ||
| 63 | Linear OOA(4231, 117, F4, 2, 195) (dual of [(117, 2), 3, 196]-NRT-code) | [i] | ||
| 64 | Linear OOA(4233, 118, F4, 2, 197) (dual of [(118, 2), 3, 198]-NRT-code) | [i] | ||
| 65 | Linear OOA(4237, 120, F4, 2, 200) (dual of [(120, 2), 3, 201]-NRT-code) | [i] | ||
| 66 | Linear OOA(4239, 121, F4, 2, 202) (dual of [(121, 2), 3, 203]-NRT-code) | [i] | ||
| 67 | Linear OOA(4241, 122, F4, 2, 203) (dual of [(122, 2), 3, 204]-NRT-code) | [i] | ||
| 68 | Linear OOA(4243, 123, F4, 2, 205) (dual of [(123, 2), 3, 206]-NRT-code) | [i] | ||
| 69 | Linear OOA(4245, 124, F4, 2, 207) (dual of [(124, 2), 3, 208]-NRT-code) | [i] | ||
| 70 | Linear OOA(4247, 125, F4, 2, 208) (dual of [(125, 2), 3, 209]-NRT-code) | [i] | ||
| 71 | Linear OOA(4249, 126, F4, 2, 210) (dual of [(126, 2), 3, 211]-NRT-code) | [i] | ||
| 72 | Linear OOA(4255, 129, F4, 2, 215) (dual of [(129, 2), 3, 216]-NRT-code) | [i] | ||
| 73 | Linear OOA(4257, 130, F4, 2, 216) (dual of [(130, 2), 3, 217]-NRT-code) | [i] | ||
| 74 | Linear OOA(4259, 131, F4, 2, 218) (dual of [(131, 2), 3, 219]-NRT-code) | [i] | ||
| 75 | Linear OOA(244, 27, F2, 2, 25) (dual of [(27, 2), 10, 26]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |