Information on Result #1178311

Linear OOA(2128, 48, F2, 8, 59) (dual of [(48, 8), 256, 60]-NRT-code), using algebraic-geometric NRT-code AG(8;F,162P) 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(2168, 53, F2, 8, 79) (dual of [(53, 8), 256, 80]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2177, 54, F2, 8, 83) (dual of [(54, 8), 255, 84]-NRT-code) [i]
3Linear OOA(2176, 54, F2, 8, 82) (dual of [(54, 8), 256, 83]-NRT-code) [i]
4Linear OOA(2186, 55, F2, 8, 87) (dual of [(55, 8), 254, 88]-NRT-code) [i]
5Linear OOA(2185, 55, F2, 8, 86) (dual of [(55, 8), 255, 87]-NRT-code) [i]
6Linear OOA(2195, 56, F2, 8, 91) (dual of [(56, 8), 253, 92]-NRT-code) [i]
7Linear OOA(2194, 56, F2, 8, 90) (dual of [(56, 8), 254, 91]-NRT-code) [i]
8Linear OOA(2200, 57, F2, 8, 93) (dual of [(57, 8), 256, 94]-NRT-code) [i]
9Linear OOA(2209, 58, F2, 8, 97) (dual of [(58, 8), 255, 98]-NRT-code) [i]
10Linear OOA(2208, 58, F2, 8, 96) (dual of [(58, 8), 256, 97]-NRT-code) [i]
11Linear OOA(2219, 59, F2, 8, 101) (dual of [(59, 8), 253, 102]-NRT-code) [i]
12Linear OOA(2218, 59, F2, 8, 100) (dual of [(59, 8), 254, 101]-NRT-code) [i]
13Linear OOA(2224, 60, F2, 8, 103) (dual of [(60, 8), 256, 104]-NRT-code) [i]