Information on Result #1092580
Linear OOA(2137, 42, F2, 4, 83) (dual of [(42, 4), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,14P) 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(2137, 42, F2, 4, 82) (dual of [(42, 4), 31, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2137, 42, F2, 4, 81) (dual of [(42, 4), 31, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(2137, 42, F2, 4, 80) (dual of [(42, 4), 31, 81]-NRT-code) | [i] | ||
| 4 | Linear OOA(2141, 43, F2, 4, 83) (dual of [(43, 4), 31, 84]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2217, 75, F2, 4, 83) (dual of [(75, 4), 83, 84]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2148, 44, F2, 4, 89) (dual of [(44, 4), 28, 90]-NRT-code) | [i] | ✔ | Construction X with Algebraic-Geometric NRT-Codes |
| 7 | Linear OOA(2147, 44, F2, 4, 88) (dual of [(44, 4), 29, 89]-NRT-code) | [i] | ✔ | |
| 8 | Linear OOA(2146, 44, F2, 4, 87) (dual of [(44, 4), 30, 88]-NRT-code) | [i] | ✔ | |
| 9 | Linear OOA(2145, 44, F2, 4, 86) (dual of [(44, 4), 31, 87]-NRT-code) | [i] | ✔ | |
| 10 | Linear OOA(2142, 44, F2, 4, 83) (dual of [(44, 4), 34, 84]-NRT-code) | [i] | ✔ | |
| 11 | Linear OOA(2141, 44, F2, 4, 82) (dual of [(44, 4), 35, 83]-NRT-code) | [i] | ✔ | |
| 12 | Linear OOA(2140, 44, F2, 4, 81) (dual of [(44, 4), 36, 82]-NRT-code) | [i] | ✔ | |
| 13 | Linear OOA(2139, 44, F2, 4, 80) (dual of [(44, 4), 37, 81]-NRT-code) | [i] | ✔ | |
| 14 | Linear OOA(2161, 47, F2, 4, 95) (dual of [(47, 4), 27, 96]-NRT-code) | [i] | ✔ | |
| 15 | Linear OOA(2162, 48, F2, 4, 95) (dual of [(48, 4), 30, 96]-NRT-code) | [i] | ✔ | |
| 16 | Linear OOA(2160, 47, F2, 4, 94) (dual of [(47, 4), 28, 95]-NRT-code) | [i] | ✔ | |
| 17 | Linear OOA(2161, 48, F2, 4, 94) (dual of [(48, 4), 31, 95]-NRT-code) | [i] | ✔ | |
| 18 | Linear OOA(2159, 47, F2, 4, 93) (dual of [(47, 4), 29, 94]-NRT-code) | [i] | ✔ | |
| 19 | Linear OOA(2158, 47, F2, 4, 92) (dual of [(47, 4), 30, 93]-NRT-code) | [i] | ✔ | |
| 20 | Linear OOA(2157, 47, F2, 4, 91) (dual of [(47, 4), 31, 92]-NRT-code) | [i] | ✔ | |
| 21 | Linear OOA(2149, 47, F2, 4, 83) (dual of [(47, 4), 39, 84]-NRT-code) | [i] | ✔ | |
| 22 | Linear OOA(2150, 48, F2, 4, 83) (dual of [(48, 4), 42, 84]-NRT-code) | [i] | ✔ | |
| 23 | Linear OOA(2148, 47, F2, 4, 82) (dual of [(47, 4), 40, 83]-NRT-code) | [i] | ✔ | |
| 24 | Linear OOA(2149, 48, F2, 4, 82) (dual of [(48, 4), 43, 83]-NRT-code) | [i] | ✔ | |
| 25 | Linear OOA(2147, 47, F2, 4, 81) (dual of [(47, 4), 41, 82]-NRT-code) | [i] | ✔ | |
| 26 | Linear OOA(2146, 47, F2, 4, 80) (dual of [(47, 4), 42, 81]-NRT-code) | [i] | ✔ | |
| 27 | Linear OOA(2145, 47, F2, 4, 79) (dual of [(47, 4), 43, 80]-NRT-code) | [i] | ✔ | |
| 28 | Linear OOA(2177, 51, F2, 4, 101) (dual of [(51, 4), 27, 102]-NRT-code) | [i] | ✔ | |
| 29 | Linear OOA(2178, 52, F2, 4, 101) (dual of [(52, 4), 30, 102]-NRT-code) | [i] | ✔ | |
| 30 | Linear OOA(2176, 51, F2, 4, 100) (dual of [(51, 4), 28, 101]-NRT-code) | [i] | ✔ | |
| 31 | Linear OOA(2177, 52, F2, 4, 100) (dual of [(52, 4), 31, 101]-NRT-code) | [i] | ✔ | |
| 32 | Linear OOA(2175, 51, F2, 4, 99) (dual of [(51, 4), 29, 100]-NRT-code) | [i] | ✔ | |
| 33 | Linear OOA(2174, 51, F2, 4, 98) (dual of [(51, 4), 30, 99]-NRT-code) | [i] | ✔ | |
| 34 | Linear OOA(2173, 51, F2, 4, 97) (dual of [(51, 4), 31, 98]-NRT-code) | [i] | ✔ | |
| 35 | Linear OOA(2159, 51, F2, 4, 83) (dual of [(51, 4), 45, 84]-NRT-code) | [i] | ✔ | |
| 36 | Linear OOA(2160, 52, F2, 4, 83) (dual of [(52, 4), 48, 84]-NRT-code) | [i] | ✔ | |
| 37 | Linear OOA(2158, 51, F2, 4, 82) (dual of [(51, 4), 46, 83]-NRT-code) | [i] | ✔ | |
| 38 | Linear OOA(2159, 52, F2, 4, 82) (dual of [(52, 4), 49, 83]-NRT-code) | [i] | ✔ | |
| 39 | Linear OOA(2157, 51, F2, 4, 81) (dual of [(51, 4), 47, 82]-NRT-code) | [i] | ✔ | |
| 40 | Linear OOA(2156, 51, F2, 4, 80) (dual of [(51, 4), 48, 81]-NRT-code) | [i] | ✔ | |
| 41 | Linear OOA(2155, 51, F2, 4, 79) (dual of [(51, 4), 49, 80]-NRT-code) | [i] | ✔ | |
| 42 | Linear OOA(2197, 57, F2, 4, 107) (dual of [(57, 4), 31, 108]-NRT-code) | [i] | ✔ | |
| 43 | Linear OOA(2193, 56, F2, 4, 105) (dual of [(56, 4), 31, 106]-NRT-code) | [i] | ✔ | |
| 44 | Linear OOA(2171, 56, F2, 4, 83) (dual of [(56, 4), 53, 84]-NRT-code) | [i] | ✔ | |
| 45 | Linear OOA(2173, 57, F2, 4, 83) (dual of [(57, 4), 55, 84]-NRT-code) | [i] | ✔ | |
| 46 | Linear OOA(2170, 56, F2, 4, 82) (dual of [(56, 4), 54, 83]-NRT-code) | [i] | ✔ | |
| 47 | Linear OOA(2169, 56, F2, 4, 81) (dual of [(56, 4), 55, 82]-NRT-code) | [i] | ✔ | |
| 48 | Linear OOA(2137, 21, F2, 7, 83) (dual of [(21, 7), 10, 84]-NRT-code) | [i] | OOA Folding | |
| 49 | Linear OOA(2137, 21, F2, 8, 83) (dual of [(21, 8), 31, 84]-NRT-code) | [i] | ||