Information on Result #1163119

Linear OOA(2144, 48, F2, 7, 75) (dual of [(48, 7), 192, 76]-NRT-code), using algebraic-geometric NRT-code AG(7;F,130P) 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, 52, F2, 7, 89) (dual of [(52, 7), 192, 90]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2158, 52, F2, 7, 75) (dual of [(52, 7), 206, 76]-NRT-code) [i]✔
3Linear OOA(2180, 53, F2, 7, 93) (dual of [(53, 7), 191, 94]-NRT-code) [i]✔
4Linear OOA(2179, 53, F2, 7, 92) (dual of [(53, 7), 192, 93]-NRT-code) [i]✔
5Linear OOA(2162, 53, F2, 7, 75) (dual of [(53, 7), 209, 76]-NRT-code) [i]✔
6Linear OOA(2161, 53, F2, 7, 74) (dual of [(53, 7), 210, 75]-NRT-code) [i]✔
7Linear OOA(2189, 54, F2, 7, 97) (dual of [(54, 7), 189, 98]-NRT-code) [i]✔
8Linear OOA(2188, 54, F2, 7, 96) (dual of [(54, 7), 190, 97]-NRT-code) [i]✔
9Linear OOA(2167, 54, F2, 7, 75) (dual of [(54, 7), 211, 76]-NRT-code) [i]✔
10Linear OOA(2166, 54, F2, 7, 74) (dual of [(54, 7), 212, 75]-NRT-code) [i]✔
11Linear OOA(2194, 55, F2, 7, 99) (dual of [(55, 7), 191, 100]-NRT-code) [i]✔
12Linear OOA(2193, 55, F2, 7, 98) (dual of [(55, 7), 192, 99]-NRT-code) [i]✔
13Linear OOA(2170, 55, F2, 7, 75) (dual of [(55, 7), 215, 76]-NRT-code) [i]✔
14Linear OOA(2169, 55, F2, 7, 74) (dual of [(55, 7), 216, 75]-NRT-code) [i]✔
15Linear OOA(2203, 56, F2, 7, 103) (dual of [(56, 7), 189, 104]-NRT-code) [i]✔
16Linear OOA(2202, 56, F2, 7, 102) (dual of [(56, 7), 190, 103]-NRT-code) [i]✔
17Linear OOA(2208, 57, F2, 7, 105) (dual of [(57, 7), 191, 106]-NRT-code) [i]✔
18Linear OOA(2207, 57, F2, 7, 104) (dual of [(57, 7), 192, 105]-NRT-code) [i]✔
19Linear OOA(2217, 58, F2, 7, 109) (dual of [(58, 7), 189, 110]-NRT-code) [i]✔
20Linear OOA(2216, 58, F2, 7, 108) (dual of [(58, 7), 190, 109]-NRT-code) [i]✔
21Linear OOA(2223, 59, F2, 7, 111) (dual of [(59, 7), 190, 112]-NRT-code) [i]✔
22Linear OOA(2222, 59, F2, 7, 110) (dual of [(59, 7), 191, 111]-NRT-code) [i]✔
23Linear OOA(2228, 60, F2, 7, 113) (dual of [(60, 7), 192, 114]-NRT-code) [i]✔
24Linear OOA(2238, 61, F2, 7, 117) (dual of [(61, 7), 189, 118]-NRT-code) [i]✔
25Linear OOA(2237, 61, F2, 7, 116) (dual of [(61, 7), 190, 117]-NRT-code) [i]✔
26Linear OOA(2242, 62, F2, 7, 119) (dual of [(62, 7), 192, 120]-NRT-code) [i]✔
27Linear OOA(2252, 63, F2, 7, 123) (dual of [(63, 7), 189, 124]-NRT-code) [i]✔
28Linear OOA(2251, 63, F2, 7, 122) (dual of [(63, 7), 190, 123]-NRT-code) [i]✔
29Linear OOA(2258, 64, F2, 7, 125) (dual of [(64, 7), 190, 126]-NRT-code) [i]✔
30Linear OOA(2257, 64, F2, 7, 124) (dual of [(64, 7), 191, 125]-NRT-code) [i]✔