Information on Result #1092816

Linear OOA(2124, 48, F2, 4, 55) (dual of [(48, 4), 68, 56]-NRT-code), using algebraic-geometric NRT-code AG(4;F,68P) with degP = 2 based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, 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(2140, 52, F2, 4, 63) (dual of [(52, 4), 68, 64]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2144, 53, F2, 4, 65) (dual of [(53, 4), 68, 66]-NRT-code) [i]✔
3Linear OOA(2149, 54, F2, 4, 67) (dual of [(54, 4), 67, 68]-NRT-code) [i]✔
4Linear OOA(2148, 54, F2, 4, 66) (dual of [(54, 4), 68, 67]-NRT-code) [i]✔
5Linear OOA(2154, 55, F2, 4, 69) (dual of [(55, 4), 66, 70]-NRT-code) [i]✔
6Linear OOA(2153, 55, F2, 4, 68) (dual of [(55, 4), 67, 69]-NRT-code) [i]✔
7Linear OOA(2160, 57, F2, 4, 71) (dual of [(57, 4), 68, 72]-NRT-code) [i]✔
8Linear OOA(2165, 58, F2, 4, 73) (dual of [(58, 4), 67, 74]-NRT-code) [i]✔
9Linear OOA(2164, 58, F2, 4, 72) (dual of [(58, 4), 68, 73]-NRT-code) [i]✔
10Linear OOA(2172, 60, F2, 4, 75) (dual of [(60, 4), 68, 76]-NRT-code) [i]✔
11Linear OOA(2177, 61, F2, 4, 76) (dual of [(61, 4), 67, 77]-NRT-code) [i]✔
12Linear OOA(2182, 62, F2, 4, 79) (dual of [(62, 4), 66, 80]-NRT-code) [i]✔
13Linear OOA(2184, 63, F2, 4, 79) (dual of [(63, 4), 68, 80]-NRT-code) [i]✔
14Linear OOA(2181, 62, F2, 4, 78) (dual of [(62, 4), 67, 79]-NRT-code) [i]✔
15Linear OOA(2189, 64, F2, 4, 80) (dual of [(64, 4), 67, 81]-NRT-code) [i]✔
16Linear OOA(2194, 65, F2, 4, 83) (dual of [(65, 4), 66, 84]-NRT-code) [i]✔
17Linear OOA(2193, 65, F2, 4, 82) (dual of [(65, 4), 67, 83]-NRT-code) [i]✔
18Linear OOA(2202, 67, F2, 4, 85) (dual of [(67, 4), 66, 86]-NRT-code) [i]✔
19Linear OOA(2201, 67, F2, 4, 84) (dual of [(67, 4), 67, 85]-NRT-code) [i]✔
20Linear OOA(2206, 68, F2, 4, 87) (dual of [(68, 4), 66, 88]-NRT-code) [i]✔
21Linear OOA(2208, 69, F2, 4, 87) (dual of [(69, 4), 68, 88]-NRT-code) [i]✔
22Linear OOA(2205, 68, F2, 4, 86) (dual of [(68, 4), 67, 87]-NRT-code) [i]✔
23Linear OOA(2124, 24, F2, 7, 55) (dual of [(24, 7), 44, 56]-NRT-code) [i]OOA Folding
24Linear OOA(2124, 24, F2, 8, 55) (dual of [(24, 8), 68, 56]-NRT-code) [i]