Information on Result #1163081

Linear OOA(2182, 48, F2, 7, 113) (dual of [(48, 7), 154, 114]-NRT-code), using algebraic-geometric NRT-code AG(7;F,111P) 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(2210, 52, F2, 7, 127) (dual of [(52, 7), 154, 128]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2196, 52, F2, 7, 113) (dual of [(52, 7), 168, 114]-NRT-code) [i]✔
3Linear OOA(2218, 53, F2, 7, 131) (dual of [(53, 7), 153, 132]-NRT-code) [i]✔
4Linear OOA(2217, 53, F2, 7, 130) (dual of [(53, 7), 154, 131]-NRT-code) [i]✔
5Linear OOA(2200, 53, F2, 7, 113) (dual of [(53, 7), 171, 114]-NRT-code) [i]✔
6Linear OOA(2199, 53, F2, 7, 112) (dual of [(53, 7), 172, 113]-NRT-code) [i]✔
7Linear OOA(2227, 54, F2, 7, 135) (dual of [(54, 7), 151, 136]-NRT-code) [i]✔
8Linear OOA(2226, 54, F2, 7, 134) (dual of [(54, 7), 152, 135]-NRT-code) [i]✔
9Linear OOA(2205, 54, F2, 7, 113) (dual of [(54, 7), 173, 114]-NRT-code) [i]✔
10Linear OOA(2204, 54, F2, 7, 112) (dual of [(54, 7), 174, 113]-NRT-code) [i]✔
11Linear OOA(2232, 55, F2, 7, 137) (dual of [(55, 7), 153, 138]-NRT-code) [i]✔
12Linear OOA(2231, 55, F2, 7, 136) (dual of [(55, 7), 154, 137]-NRT-code) [i]✔
13Linear OOA(2208, 55, F2, 7, 113) (dual of [(55, 7), 177, 114]-NRT-code) [i]✔
14Linear OOA(2207, 55, F2, 7, 112) (dual of [(55, 7), 178, 113]-NRT-code) [i]✔
15Linear OOA(2241, 56, F2, 7, 141) (dual of [(56, 7), 151, 142]-NRT-code) [i]✔
16Linear OOA(2240, 56, F2, 7, 140) (dual of [(56, 7), 152, 141]-NRT-code) [i]✔
17Linear OOA(2213, 56, F2, 7, 113) (dual of [(56, 7), 179, 114]-NRT-code) [i]✔
18Linear OOA(2212, 56, F2, 7, 112) (dual of [(56, 7), 180, 113]-NRT-code) [i]✔
19Linear OOA(2246, 57, F2, 7, 143) (dual of [(57, 7), 153, 144]-NRT-code) [i]✔
20Linear OOA(2245, 57, F2, 7, 142) (dual of [(57, 7), 154, 143]-NRT-code) [i]✔
21Linear OOA(2216, 57, F2, 7, 113) (dual of [(57, 7), 183, 114]-NRT-code) [i]✔
22Linear OOA(2215, 57, F2, 7, 112) (dual of [(57, 7), 184, 113]-NRT-code) [i]✔
23Linear OOA(2255, 58, F2, 7, 147) (dual of [(58, 7), 151, 148]-NRT-code) [i]✔
24Linear OOA(2254, 58, F2, 7, 146) (dual of [(58, 7), 152, 147]-NRT-code) [i]✔
25Linear OOA(2221, 58, F2, 7, 113) (dual of [(58, 7), 185, 114]-NRT-code) [i]✔
26Linear OOA(2220, 58, F2, 7, 112) (dual of [(58, 7), 186, 113]-NRT-code) [i]✔
27Linear OOA(2260, 59, F2, 7, 148) (dual of [(59, 7), 153, 149]-NRT-code) [i]✔
28Linear OOA(2225, 59, F2, 7, 113) (dual of [(59, 7), 188, 114]-NRT-code) [i]✔
29Linear OOA(2224, 59, F2, 7, 112) (dual of [(59, 7), 189, 113]-NRT-code) [i]✔
30Linear OOA(2228, 60, F2, 7, 113) (dual of [(60, 7), 192, 114]-NRT-code) [i]✔
31Linear OOA(2234, 61, F2, 7, 113) (dual of [(61, 7), 193, 114]-NRT-code) [i]✔
32Linear OOA(2233, 61, F2, 7, 112) (dual of [(61, 7), 194, 113]-NRT-code) [i]✔
33Linear OOA(2236, 62, F2, 7, 113) (dual of [(62, 7), 198, 114]-NRT-code) [i]✔
34Linear OOA(2242, 63, F2, 7, 113) (dual of [(63, 7), 199, 114]-NRT-code) [i]✔
35Linear OOA(2241, 63, F2, 7, 112) (dual of [(63, 7), 200, 113]-NRT-code) [i]✔
36Linear OOA(2246, 64, F2, 7, 113) (dual of [(64, 7), 202, 114]-NRT-code) [i]✔
37Linear OOA(2245, 64, F2, 7, 112) (dual of [(64, 7), 203, 113]-NRT-code) [i]✔