Information on Result #1092615

Linear OOA(295, 42, F2, 4, 41) (dual of [(42, 4), 73, 42]-NRT-code), using algebraic-geometric NRT-code AG(4;F,21P) with degP = 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:

ResultThis
result
only		Method
1Linear OOA(295, 42, F2, 4, 40) (dual of [(42, 4), 73, 41]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(295, 42, F2, 4, 39) (dual of [(42, 4), 73, 40]-NRT-code) [i]
3Linear OOA(299, 43, F2, 4, 41) (dual of [(43, 4), 73, 42]-NRT-code) [i]NRT-Code Embedding in Larger Space
4Linear OOA(2106, 44, F2, 4, 47) (dual of [(44, 4), 70, 48]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
5Linear OOA(2105, 44, F2, 4, 46) (dual of [(44, 4), 71, 47]-NRT-code) [i]✔
6Linear OOA(2104, 44, F2, 4, 45) (dual of [(44, 4), 72, 46]-NRT-code) [i]✔
7Linear OOA(2103, 44, F2, 4, 44) (dual of [(44, 4), 73, 45]-NRT-code) [i]✔
8Linear OOA(2119, 47, F2, 4, 53) (dual of [(47, 4), 69, 54]-NRT-code) [i]✔
9Linear OOA(2120, 48, F2, 4, 53) (dual of [(48, 4), 72, 54]-NRT-code) [i]✔
10Linear OOA(2118, 47, F2, 4, 52) (dual of [(47, 4), 70, 53]-NRT-code) [i]✔
11Linear OOA(2119, 48, F2, 4, 52) (dual of [(48, 4), 73, 53]-NRT-code) [i]✔
12Linear OOA(2117, 47, F2, 4, 51) (dual of [(47, 4), 71, 52]-NRT-code) [i]✔
13Linear OOA(2116, 47, F2, 4, 50) (dual of [(47, 4), 72, 51]-NRT-code) [i]✔
14Linear OOA(2115, 47, F2, 4, 49) (dual of [(47, 4), 73, 50]-NRT-code) [i]✔
15Linear OOA(2135, 51, F2, 4, 59) (dual of [(51, 4), 69, 60]-NRT-code) [i]✔
16Linear OOA(2136, 52, F2, 4, 59) (dual of [(52, 4), 72, 60]-NRT-code) [i]✔
17Linear OOA(2134, 51, F2, 4, 58) (dual of [(51, 4), 70, 59]-NRT-code) [i]✔
18Linear OOA(2135, 52, F2, 4, 58) (dual of [(52, 4), 73, 59]-NRT-code) [i]✔
19Linear OOA(2133, 51, F2, 4, 57) (dual of [(51, 4), 71, 58]-NRT-code) [i]✔
20Linear OOA(2153, 56, F2, 4, 65) (dual of [(56, 4), 71, 66]-NRT-code) [i]✔
21Linear OOA(2155, 57, F2, 4, 65) (dual of [(57, 4), 73, 66]-NRT-code) [i]✔
22Linear OOA(295, 21, F2, 7, 41) (dual of [(21, 7), 52, 42]-NRT-code) [i]OOA Folding
23Linear OOA(295, 21, F2, 8, 41) (dual of [(21, 8), 73, 42]-NRT-code) [i]