Information on Result #1148831

Linear OOA(2178, 48, F2, 6, 109) (dual of [(48, 6), 110, 110]-NRT-code), using algebraic-geometric NRT-code AG(6;F,89P) 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(2197, 51, F2, 6, 119) (dual of [(51, 6), 109, 120]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2196, 51, F2, 6, 118) (dual of [(51, 6), 110, 119]-NRT-code) [i]✔
3Linear OOA(2187, 51, F2, 6, 109) (dual of [(51, 6), 119, 110]-NRT-code) [i]✔
4Linear OOA(2186, 51, F2, 6, 108) (dual of [(51, 6), 120, 109]-NRT-code) [i]✔
5Linear OOA(2202, 52, F2, 6, 121) (dual of [(52, 6), 110, 122]-NRT-code) [i]✔
6Linear OOA(2190, 52, F2, 6, 109) (dual of [(52, 6), 122, 110]-NRT-code) [i]✔
7Linear OOA(2210, 53, F2, 6, 125) (dual of [(53, 6), 108, 126]-NRT-code) [i]✔
8Linear OOA(2209, 53, F2, 6, 124) (dual of [(53, 6), 109, 125]-NRT-code) [i]✔
9Linear OOA(2194, 53, F2, 6, 109) (dual of [(53, 6), 124, 110]-NRT-code) [i]✔
10Linear OOA(2193, 53, F2, 6, 108) (dual of [(53, 6), 125, 109]-NRT-code) [i]✔
11Linear OOA(2215, 54, F2, 6, 127) (dual of [(54, 6), 109, 128]-NRT-code) [i]✔
12Linear OOA(2214, 54, F2, 6, 126) (dual of [(54, 6), 110, 127]-NRT-code) [i]✔
13Linear OOA(2197, 54, F2, 6, 109) (dual of [(54, 6), 127, 110]-NRT-code) [i]✔
14Linear OOA(2196, 54, F2, 6, 108) (dual of [(54, 6), 128, 109]-NRT-code) [i]✔
15Linear OOA(2220, 55, F2, 6, 129) (dual of [(55, 6), 110, 130]-NRT-code) [i]✔
16Linear OOA(2200, 55, F2, 6, 109) (dual of [(55, 6), 130, 110]-NRT-code) [i]✔
17Linear OOA(2229, 56, F2, 6, 133) (dual of [(56, 6), 107, 134]-NRT-code) [i]✔
18Linear OOA(2228, 56, F2, 6, 132) (dual of [(56, 6), 108, 133]-NRT-code) [i]✔
19Linear OOA(2205, 56, F2, 6, 109) (dual of [(56, 6), 131, 110]-NRT-code) [i]✔
20Linear OOA(2204, 56, F2, 6, 108) (dual of [(56, 6), 132, 109]-NRT-code) [i]✔
21Linear OOA(2234, 57, F2, 6, 135) (dual of [(57, 6), 108, 136]-NRT-code) [i]✔
22Linear OOA(2233, 57, F2, 6, 134) (dual of [(57, 6), 109, 135]-NRT-code) [i]✔
23Linear OOA(2208, 57, F2, 6, 109) (dual of [(57, 6), 134, 110]-NRT-code) [i]✔
24Linear OOA(2207, 57, F2, 6, 108) (dual of [(57, 6), 135, 109]-NRT-code) [i]✔
25Linear OOA(2239, 58, F2, 6, 137) (dual of [(58, 6), 109, 138]-NRT-code) [i]✔
26Linear OOA(2238, 58, F2, 6, 136) (dual of [(58, 6), 110, 137]-NRT-code) [i]✔
27Linear OOA(2211, 58, F2, 6, 109) (dual of [(58, 6), 137, 110]-NRT-code) [i]✔
28Linear OOA(2210, 58, F2, 6, 108) (dual of [(58, 6), 138, 109]-NRT-code) [i]✔
29Linear OOA(2245, 59, F2, 6, 139) (dual of [(59, 6), 109, 140]-NRT-code) [i]✔
30Linear OOA(2244, 59, F2, 6, 138) (dual of [(59, 6), 110, 139]-NRT-code) [i]✔
31Linear OOA(2215, 59, F2, 6, 109) (dual of [(59, 6), 139, 110]-NRT-code) [i]✔
32Linear OOA(2214, 59, F2, 6, 108) (dual of [(59, 6), 140, 109]-NRT-code) [i]✔
33Linear OOA(2250, 60, F2, 6, 141) (dual of [(60, 6), 110, 142]-NRT-code) [i]✔
34Linear OOA(2218, 60, F2, 6, 109) (dual of [(60, 6), 142, 110]-NRT-code) [i]✔
35Linear OOA(2256, 61, F2, 6, 143) (dual of [(61, 6), 110, 144]-NRT-code) [i]✔
36Linear OOA(2222, 61, F2, 6, 109) (dual of [(61, 6), 144, 110]-NRT-code) [i]✔
37Linear OOA(2226, 62, F2, 6, 109) (dual of [(62, 6), 146, 110]-NRT-code) [i]✔
38Linear OOA(2225, 62, F2, 6, 108) (dual of [(62, 6), 147, 109]-NRT-code) [i]✔
39Linear OOA(2230, 63, F2, 6, 109) (dual of [(63, 6), 148, 110]-NRT-code) [i]✔
40Linear OOA(2229, 63, F2, 6, 108) (dual of [(63, 6), 149, 109]-NRT-code) [i]✔
41Linear OOA(2234, 64, F2, 6, 109) (dual of [(64, 6), 150, 110]-NRT-code) [i]✔
42Linear OOA(2233, 64, F2, 6, 108) (dual of [(64, 6), 151, 109]-NRT-code) [i]✔
43Linear OOA(2236, 65, F2, 6, 109) (dual of [(65, 6), 154, 110]-NRT-code) [i]✔
44Linear OOA(2244, 67, F2, 6, 109) (dual of [(67, 6), 158, 110]-NRT-code) [i]✔
45Linear OOA(2248, 68, F2, 6, 109) (dual of [(68, 6), 160, 110]-NRT-code) [i]✔
46Linear OOA(2247, 68, F2, 6, 108) (dual of [(68, 6), 161, 109]-NRT-code) [i]✔