Information on Result #1092600
Linear OOA(2113, 42, F2, 4, 59) (dual of [(42, 4), 55, 60]-NRT-code), using algebraic-geometric NRT-code AG(4;F,18P) with degPÂ =Â 6 based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2113, 42, F2, 4, 58) (dual of [(42, 4), 55, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2113, 42, F2, 4, 57) (dual of [(42, 4), 55, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(2113, 42, F2, 4, 56) (dual of [(42, 4), 55, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(2117, 43, F2, 4, 59) (dual of [(43, 4), 55, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2181, 76, F2, 4, 59) (dual of [(76, 4), 123, 60]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2259, 74, F2, 4, 118) (dual of [(74, 4), 37, 119]-NRT-code) | [i] | ||
| 7 | Linear OOA(2259, 74, F2, 4, 119) (dual of [(74, 4), 37, 120]-NRT-code) | [i] | ||
| 8 | Linear OOA(2124, 44, F2, 4, 65) (dual of [(44, 4), 52, 66]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 9 | Linear OOA(2123, 44, F2, 4, 64) (dual of [(44, 4), 53, 65]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(2122, 44, F2, 4, 63) (dual of [(44, 4), 54, 64]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(2121, 44, F2, 4, 62) (dual of [(44, 4), 55, 63]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(2118, 44, F2, 4, 59) (dual of [(44, 4), 58, 60]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(2117, 44, F2, 4, 58) (dual of [(44, 4), 59, 59]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(2116, 44, F2, 4, 57) (dual of [(44, 4), 60, 58]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(2115, 44, F2, 4, 56) (dual of [(44, 4), 61, 57]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(2137, 47, F2, 4, 71) (dual of [(47, 4), 51, 72]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(2138, 48, F2, 4, 71) (dual of [(48, 4), 54, 72]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(2136, 47, F2, 4, 70) (dual of [(47, 4), 52, 71]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(2137, 48, F2, 4, 70) (dual of [(48, 4), 55, 71]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(2135, 47, F2, 4, 69) (dual of [(47, 4), 53, 70]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(2134, 47, F2, 4, 68) (dual of [(47, 4), 54, 69]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(2133, 47, F2, 4, 67) (dual of [(47, 4), 55, 68]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(2125, 47, F2, 4, 59) (dual of [(47, 4), 63, 60]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(2126, 48, F2, 4, 59) (dual of [(48, 4), 66, 60]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(2124, 47, F2, 4, 58) (dual of [(47, 4), 64, 59]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(2125, 48, F2, 4, 58) (dual of [(48, 4), 67, 59]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(2123, 47, F2, 4, 57) (dual of [(47, 4), 65, 58]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(2122, 47, F2, 4, 56) (dual of [(47, 4), 66, 57]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(2121, 47, F2, 4, 55) (dual of [(47, 4), 67, 56]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(2153, 51, F2, 4, 77) (dual of [(51, 4), 51, 78]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(2154, 52, F2, 4, 77) (dual of [(52, 4), 54, 78]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(2152, 51, F2, 4, 76) (dual of [(51, 4), 52, 77]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(2153, 52, F2, 4, 76) (dual of [(52, 4), 55, 77]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(2151, 51, F2, 4, 75) (dual of [(51, 4), 53, 76]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(2150, 51, F2, 4, 74) (dual of [(51, 4), 54, 75]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(2149, 51, F2, 4, 73) (dual of [(51, 4), 55, 74]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(2135, 51, F2, 4, 59) (dual of [(51, 4), 69, 60]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(2136, 52, F2, 4, 59) (dual of [(52, 4), 72, 60]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(2134, 51, F2, 4, 58) (dual of [(51, 4), 70, 59]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(2135, 52, F2, 4, 58) (dual of [(52, 4), 73, 59]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(2133, 51, F2, 4, 57) (dual of [(51, 4), 71, 58]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(2171, 56, F2, 4, 83) (dual of [(56, 4), 53, 84]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(2173, 57, F2, 4, 83) (dual of [(57, 4), 55, 84]-NRT-code) | [i] | ✔ | |
| 44 | Linear OOA(2170, 56, F2, 4, 82) (dual of [(56, 4), 54, 83]-NRT-code) | [i] | ✔ | |
| 45 | Linear OOA(2169, 56, F2, 4, 81) (dual of [(56, 4), 55, 82]-NRT-code) | [i] | ✔ | |
| 46 | Linear OOA(2113, 21, F2, 7, 59) (dual of [(21, 7), 34, 60]-NRT-code) | [i] | OOA Folding | |
| 47 | Linear OOA(2113, 21, F2, 8, 59) (dual of [(21, 8), 55, 60]-NRT-code) | [i] | ||