Information on Result #1092806

Linear OOA(2134, 48, F2, 4, 65) (dual of [(48, 4), 58, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,63P) 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(2150, 52, F2, 4, 73) (dual of [(52, 4), 58, 74]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2148, 51, F2, 4, 72) (dual of [(51, 4), 56, 73]-NRT-code) [i]✔
3Linear OOA(2154, 53, F2, 4, 75) (dual of [(53, 4), 58, 76]-NRT-code) [i]✔
4Linear OOA(2144, 53, F2, 4, 65) (dual of [(53, 4), 68, 66]-NRT-code) [i]✔
5Linear OOA(2159, 54, F2, 4, 77) (dual of [(54, 4), 57, 78]-NRT-code) [i]✔
6Linear OOA(2158, 54, F2, 4, 76) (dual of [(54, 4), 58, 77]-NRT-code) [i]✔
7Linear OOA(2147, 54, F2, 4, 65) (dual of [(54, 4), 69, 66]-NRT-code) [i]✔
8Linear OOA(2146, 54, F2, 4, 64) (dual of [(54, 4), 70, 65]-NRT-code) [i]✔
9Linear OOA(2164, 55, F2, 4, 79) (dual of [(55, 4), 56, 80]-NRT-code) [i]✔
10Linear OOA(2163, 55, F2, 4, 78) (dual of [(55, 4), 57, 79]-NRT-code) [i]✔
11Linear OOA(2150, 55, F2, 4, 65) (dual of [(55, 4), 70, 66]-NRT-code) [i]✔
12Linear OOA(2149, 55, F2, 4, 64) (dual of [(55, 4), 71, 65]-NRT-code) [i]✔
13Linear OOA(2170, 57, F2, 4, 81) (dual of [(57, 4), 58, 82]-NRT-code) [i]✔
14Linear OOA(2168, 56, F2, 4, 80) (dual of [(56, 4), 56, 81]-NRT-code) [i]✔
15Linear OOA(2154, 57, F2, 4, 65) (dual of [(57, 4), 74, 66]-NRT-code) [i]✔
16Linear OOA(2175, 58, F2, 4, 83) (dual of [(58, 4), 57, 84]-NRT-code) [i]✔
17Linear OOA(2174, 58, F2, 4, 82) (dual of [(58, 4), 58, 83]-NRT-code) [i]✔
18Linear OOA(2182, 60, F2, 4, 85) (dual of [(60, 4), 58, 86]-NRT-code) [i]✔
19Linear OOA(2187, 61, F2, 4, 86) (dual of [(61, 4), 57, 87]-NRT-code) [i]✔
20Linear OOA(2192, 62, F2, 4, 89) (dual of [(62, 4), 56, 90]-NRT-code) [i]✔
21Linear OOA(2194, 63, F2, 4, 89) (dual of [(63, 4), 58, 90]-NRT-code) [i]✔
22Linear OOA(2191, 62, F2, 4, 88) (dual of [(62, 4), 57, 89]-NRT-code) [i]✔
23Linear OOA(2199, 64, F2, 4, 90) (dual of [(64, 4), 57, 91]-NRT-code) [i]✔
24Linear OOA(2204, 65, F2, 4, 93) (dual of [(65, 4), 56, 94]-NRT-code) [i]✔
25Linear OOA(2203, 65, F2, 4, 92) (dual of [(65, 4), 57, 93]-NRT-code) [i]✔
26Linear OOA(2212, 67, F2, 4, 95) (dual of [(67, 4), 56, 96]-NRT-code) [i]✔
27Linear OOA(2211, 67, F2, 4, 94) (dual of [(67, 4), 57, 95]-NRT-code) [i]✔