Information on Result #1178307

Linear OOA(2132, 48, F2, 8, 63) (dual of [(48, 8), 252, 64]-NRT-code), using algebraic-geometric NRT-code AG(8;F,160P) 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(2172, 53, F2, 8, 83) (dual of [(53, 8), 252, 84]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2181, 54, F2, 8, 87) (dual of [(54, 8), 251, 88]-NRT-code) [i]✔
3Linear OOA(2180, 54, F2, 8, 86) (dual of [(54, 8), 252, 87]-NRT-code) [i]✔
4Linear OOA(2190, 55, F2, 8, 91) (dual of [(55, 8), 250, 92]-NRT-code) [i]✔
5Linear OOA(2189, 55, F2, 8, 90) (dual of [(55, 8), 251, 91]-NRT-code) [i]✔
6Linear OOA(2199, 56, F2, 8, 95) (dual of [(56, 8), 249, 96]-NRT-code) [i]✔
7Linear OOA(2198, 56, F2, 8, 94) (dual of [(56, 8), 250, 95]-NRT-code) [i]✔
8Linear OOA(2204, 57, F2, 8, 97) (dual of [(57, 8), 252, 98]-NRT-code) [i]✔
9Linear OOA(2213, 58, F2, 8, 101) (dual of [(58, 8), 251, 102]-NRT-code) [i]✔
10Linear OOA(2212, 58, F2, 8, 100) (dual of [(58, 8), 252, 101]-NRT-code) [i]✔
11Linear OOA(2223, 59, F2, 8, 105) (dual of [(59, 8), 249, 106]-NRT-code) [i]✔
12Linear OOA(2222, 59, F2, 8, 104) (dual of [(59, 8), 250, 105]-NRT-code) [i]✔
13Linear OOA(2228, 60, F2, 8, 107) (dual of [(60, 8), 252, 108]-NRT-code) [i]✔
14Linear OOA(2238, 61, F2, 8, 111) (dual of [(61, 8), 250, 112]-NRT-code) [i]✔
15Linear OOA(2237, 61, F2, 8, 110) (dual of [(61, 8), 251, 111]-NRT-code) [i]✔