Information on Result #1163139

Linear OOA(2124, 48, F2, 7, 55) (dual of [(48, 7), 212, 56]-NRT-code), using algebraic-geometric NRT-code AG(7;F,140P) 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(2152, 52, F2, 7, 69) (dual of [(52, 7), 212, 70]-NRT-code) [i]✔Construction X with Algebraic-Geometric NRT-Codes
2Linear OOA(2160, 53, F2, 7, 73) (dual of [(53, 7), 211, 74]-NRT-code) [i]✔
3Linear OOA(2159, 53, F2, 7, 72) (dual of [(53, 7), 212, 73]-NRT-code) [i]✔
4Linear OOA(2169, 54, F2, 7, 77) (dual of [(54, 7), 209, 78]-NRT-code) [i]✔
5Linear OOA(2168, 54, F2, 7, 76) (dual of [(54, 7), 210, 77]-NRT-code) [i]✔
6Linear OOA(2174, 55, F2, 7, 79) (dual of [(55, 7), 211, 80]-NRT-code) [i]✔
7Linear OOA(2173, 55, F2, 7, 78) (dual of [(55, 7), 212, 79]-NRT-code) [i]✔
8Linear OOA(2183, 56, F2, 7, 83) (dual of [(56, 7), 209, 84]-NRT-code) [i]✔
9Linear OOA(2182, 56, F2, 7, 82) (dual of [(56, 7), 210, 83]-NRT-code) [i]✔
10Linear OOA(2188, 57, F2, 7, 85) (dual of [(57, 7), 211, 86]-NRT-code) [i]✔
11Linear OOA(2187, 57, F2, 7, 84) (dual of [(57, 7), 212, 85]-NRT-code) [i]✔
12Linear OOA(2197, 58, F2, 7, 89) (dual of [(58, 7), 209, 90]-NRT-code) [i]✔
13Linear OOA(2196, 58, F2, 7, 88) (dual of [(58, 7), 210, 89]-NRT-code) [i]✔
14Linear OOA(2203, 59, F2, 7, 91) (dual of [(59, 7), 210, 92]-NRT-code) [i]✔
15Linear OOA(2202, 59, F2, 7, 90) (dual of [(59, 7), 211, 91]-NRT-code) [i]✔
16Linear OOA(2208, 60, F2, 7, 93) (dual of [(60, 7), 212, 94]-NRT-code) [i]✔