Information on Result #1178301

Linear OOA(2138, 48, F2, 8, 69) (dual of [(48, 8), 246, 70]-NRT-code), using algebraic-geometric NRT-code AG(8;F,157P) 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(2178, 53, F2, 8, 89) (dual of [(53, 8), 246, 90]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2187, 54, F2, 8, 93) (dual of [(54, 8), 245, 94]-NRT-code) [i]✔
3Linear OOA(2186, 54, F2, 8, 92) (dual of [(54, 8), 246, 93]-NRT-code) [i]✔
4Linear OOA(2196, 55, F2, 8, 97) (dual of [(55, 8), 244, 98]-NRT-code) [i]✔
5Linear OOA(2195, 55, F2, 8, 96) (dual of [(55, 8), 245, 97]-NRT-code) [i]✔
6Linear OOA(2205, 56, F2, 8, 101) (dual of [(56, 8), 243, 102]-NRT-code) [i]✔
7Linear OOA(2204, 56, F2, 8, 100) (dual of [(56, 8), 244, 101]-NRT-code) [i]✔
8Linear OOA(2210, 57, F2, 8, 103) (dual of [(57, 8), 246, 104]-NRT-code) [i]✔
9Linear OOA(2219, 58, F2, 8, 107) (dual of [(58, 8), 245, 108]-NRT-code) [i]✔
10Linear OOA(2218, 58, F2, 8, 106) (dual of [(58, 8), 246, 107]-NRT-code) [i]✔
11Linear OOA(2229, 59, F2, 8, 111) (dual of [(59, 8), 243, 112]-NRT-code) [i]✔
12Linear OOA(2228, 59, F2, 8, 110) (dual of [(59, 8), 244, 111]-NRT-code) [i]✔
13Linear OOA(2234, 60, F2, 8, 113) (dual of [(60, 8), 246, 114]-NRT-code) [i]✔
14Linear OOA(2244, 61, F2, 8, 117) (dual of [(61, 8), 244, 118]-NRT-code) [i]✔
15Linear OOA(2243, 61, F2, 8, 116) (dual of [(61, 8), 245, 117]-NRT-code) [i]✔
16Linear OOA(2252, 62, F2, 8, 121) (dual of [(62, 8), 244, 122]-NRT-code) [i]✔
17Linear OOA(2251, 62, F2, 8, 120) (dual of [(62, 8), 245, 121]-NRT-code) [i]✔
18Linear OOA(2258, 63, F2, 8, 123) (dual of [(63, 8), 246, 124]-NRT-code) [i]✔