Information on Result #1092772

Linear OOA(2174, 48, F2, 4, 105) (dual of [(48, 4), 18, 106]-NRT-code), using algebraic-geometric NRT-code AG(4;F,43P) 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(2182, 52, F2, 4, 105) (dual of [(52, 4), 26, 106]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2184, 53, F2, 4, 105) (dual of [(53, 4), 28, 106]-NRT-code) [i]✔
3Linear OOA(2187, 54, F2, 4, 105) (dual of [(54, 4), 29, 106]-NRT-code) [i]✔
4Linear OOA(2186, 54, F2, 4, 104) (dual of [(54, 4), 30, 105]-NRT-code) [i]✔
5Linear OOA(2190, 55, F2, 4, 105) (dual of [(55, 4), 30, 106]-NRT-code) [i]✔
6Linear OOA(2189, 55, F2, 4, 104) (dual of [(55, 4), 31, 105]-NRT-code) [i]✔
7Linear OOA(2194, 57, F2, 4, 105) (dual of [(57, 4), 34, 106]-NRT-code) [i]✔
8Linear OOA(2192, 56, F2, 4, 104) (dual of [(56, 4), 32, 105]-NRT-code) [i]✔
9Linear OOA(2197, 58, F2, 4, 105) (dual of [(58, 4), 35, 106]-NRT-code) [i]✔
10Linear OOA(2196, 58, F2, 4, 104) (dual of [(58, 4), 36, 105]-NRT-code) [i]✔
11Linear OOA(2202, 60, F2, 4, 105) (dual of [(60, 4), 38, 106]-NRT-code) [i]✔
12Linear OOA(2210, 63, F2, 4, 105) (dual of [(63, 4), 42, 106]-NRT-code) [i]✔
13Linear OOA(2207, 62, F2, 4, 104) (dual of [(62, 4), 41, 105]-NRT-code) [i]✔