Information on Result #1148836

Linear OOA(2193, 51, F2, 6, 115) (dual of [(51, 6), 113, 116]-NRT-code), using construction X applied to AG(6;F,86P) ⊂ AG(6;F,91P) based on
  1. linear OOA(2184, 48, F2, 6, 115) (dual of [(48, 6), 104, 116]-NRT-code), using algebraic-geometric NRT-code AG(6;F,86P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2174, 48, F2, 6, 105) (dual of [(48, 6), 114, 106]-NRT-code), using algebraic-geometric NRT-code AG(6;F,91P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(29, 3, F2, 6, 9) (dual of [(3, 6), 9, 10]-NRT-code), using

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
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Method
1Linear OOA(2193, 51, F2, 6, 114) (dual of [(51, 6), 113, 115]-NRT-code) [i]Strength Reduction for OOAs