Information on Result #1092818

Linear OOA(2122, 48, F2, 4, 53) (dual of [(48, 4), 70, 54]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) 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(2138, 52, F2, 4, 61) (dual of [(52, 4), 70, 62]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2136, 51, F2, 4, 60) (dual of [(51, 4), 68, 61]-NRT-code) [i]
3Linear OOA(2142, 53, F2, 4, 63) (dual of [(53, 4), 70, 64]-NRT-code) [i]
4Linear OOA(2147, 54, F2, 4, 65) (dual of [(54, 4), 69, 66]-NRT-code) [i]
5Linear OOA(2146, 54, F2, 4, 64) (dual of [(54, 4), 70, 65]-NRT-code) [i]
6Linear OOA(2152, 55, F2, 4, 67) (dual of [(55, 4), 68, 68]-NRT-code) [i]
7Linear OOA(2151, 55, F2, 4, 66) (dual of [(55, 4), 69, 67]-NRT-code) [i]
8Linear OOA(2158, 57, F2, 4, 69) (dual of [(57, 4), 70, 70]-NRT-code) [i]
9Linear OOA(2156, 56, F2, 4, 68) (dual of [(56, 4), 68, 69]-NRT-code) [i]
10Linear OOA(2163, 58, F2, 4, 71) (dual of [(58, 4), 69, 72]-NRT-code) [i]
11Linear OOA(2162, 58, F2, 4, 70) (dual of [(58, 4), 70, 71]-NRT-code) [i]
12Linear OOA(2170, 60, F2, 4, 73) (dual of [(60, 4), 70, 74]-NRT-code) [i]
13Linear OOA(2175, 61, F2, 4, 74) (dual of [(61, 4), 69, 75]-NRT-code) [i]
14Linear OOA(2180, 62, F2, 4, 77) (dual of [(62, 4), 68, 78]-NRT-code) [i]
15Linear OOA(2182, 63, F2, 4, 77) (dual of [(63, 4), 70, 78]-NRT-code) [i]
16Linear OOA(2179, 62, F2, 4, 76) (dual of [(62, 4), 69, 77]-NRT-code) [i]
17Linear OOA(2204, 68, F2, 4, 85) (dual of [(68, 4), 68, 86]-NRT-code) [i]
18Linear OOA(2206, 69, F2, 4, 85) (dual of [(69, 4), 70, 86]-NRT-code) [i]
19Linear OOA(2203, 68, F2, 4, 84) (dual of [(68, 4), 69, 85]-NRT-code) [i]