Information on Result #1163083

Linear OOA(2180, 48, F2, 7, 111) (dual of [(48, 7), 156, 112]-NRT-code), using algebraic-geometric NRT-code AG(7;F,112P) 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(2208, 52, F2, 7, 125) (dual of [(52, 7), 156, 126]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2194, 52, F2, 7, 111) (dual of [(52, 7), 170, 112]-NRT-code) [i]✔
3Linear OOA(2216, 53, F2, 7, 129) (dual of [(53, 7), 155, 130]-NRT-code) [i]✔
4Linear OOA(2215, 53, F2, 7, 128) (dual of [(53, 7), 156, 129]-NRT-code) [i]✔
5Linear OOA(2198, 53, F2, 7, 111) (dual of [(53, 7), 173, 112]-NRT-code) [i]✔
6Linear OOA(2197, 53, F2, 7, 110) (dual of [(53, 7), 174, 111]-NRT-code) [i]✔
7Linear OOA(2225, 54, F2, 7, 133) (dual of [(54, 7), 153, 134]-NRT-code) [i]✔
8Linear OOA(2224, 54, F2, 7, 132) (dual of [(54, 7), 154, 133]-NRT-code) [i]✔
9Linear OOA(2203, 54, F2, 7, 111) (dual of [(54, 7), 175, 112]-NRT-code) [i]✔
10Linear OOA(2202, 54, F2, 7, 110) (dual of [(54, 7), 176, 111]-NRT-code) [i]✔
11Linear OOA(2230, 55, F2, 7, 135) (dual of [(55, 7), 155, 136]-NRT-code) [i]✔
12Linear OOA(2229, 55, F2, 7, 134) (dual of [(55, 7), 156, 135]-NRT-code) [i]✔
13Linear OOA(2206, 55, F2, 7, 111) (dual of [(55, 7), 179, 112]-NRT-code) [i]✔
14Linear OOA(2205, 55, F2, 7, 110) (dual of [(55, 7), 180, 111]-NRT-code) [i]✔
15Linear OOA(2239, 56, F2, 7, 139) (dual of [(56, 7), 153, 140]-NRT-code) [i]✔
16Linear OOA(2238, 56, F2, 7, 138) (dual of [(56, 7), 154, 139]-NRT-code) [i]✔
17Linear OOA(2211, 56, F2, 7, 111) (dual of [(56, 7), 181, 112]-NRT-code) [i]✔
18Linear OOA(2210, 56, F2, 7, 110) (dual of [(56, 7), 182, 111]-NRT-code) [i]✔
19Linear OOA(2244, 57, F2, 7, 141) (dual of [(57, 7), 155, 142]-NRT-code) [i]✔
20Linear OOA(2243, 57, F2, 7, 140) (dual of [(57, 7), 156, 141]-NRT-code) [i]✔
21Linear OOA(2214, 57, F2, 7, 111) (dual of [(57, 7), 185, 112]-NRT-code) [i]✔
22Linear OOA(2213, 57, F2, 7, 110) (dual of [(57, 7), 186, 111]-NRT-code) [i]✔
23Linear OOA(2253, 58, F2, 7, 145) (dual of [(58, 7), 153, 146]-NRT-code) [i]✔
24Linear OOA(2252, 58, F2, 7, 144) (dual of [(58, 7), 154, 145]-NRT-code) [i]✔
25Linear OOA(2219, 58, F2, 7, 111) (dual of [(58, 7), 187, 112]-NRT-code) [i]✔
26Linear OOA(2218, 58, F2, 7, 110) (dual of [(58, 7), 188, 111]-NRT-code) [i]✔
27Linear OOA(2259, 59, F2, 7, 147) (dual of [(59, 7), 154, 148]-NRT-code) [i]✔
28Linear OOA(2258, 59, F2, 7, 146) (dual of [(59, 7), 155, 147]-NRT-code) [i]✔
29Linear OOA(2223, 59, F2, 7, 111) (dual of [(59, 7), 190, 112]-NRT-code) [i]✔
30Linear OOA(2222, 59, F2, 7, 110) (dual of [(59, 7), 191, 111]-NRT-code) [i]✔
31Linear OOA(2226, 60, F2, 7, 111) (dual of [(60, 7), 194, 112]-NRT-code) [i]✔
32Linear OOA(2232, 61, F2, 7, 111) (dual of [(61, 7), 195, 112]-NRT-code) [i]✔
33Linear OOA(2231, 61, F2, 7, 110) (dual of [(61, 7), 196, 111]-NRT-code) [i]✔
34Linear OOA(2234, 62, F2, 7, 111) (dual of [(62, 7), 200, 112]-NRT-code) [i]✔
35Linear OOA(2240, 63, F2, 7, 111) (dual of [(63, 7), 201, 112]-NRT-code) [i]✔
36Linear OOA(2239, 63, F2, 7, 110) (dual of [(63, 7), 202, 111]-NRT-code) [i]✔