Information on Result #1149842

Linear OOA(2258, 69, F2, 6, 115) (dual of [(69, 6), 156, 116]-NRT-code), using construction X applied to AG(6;F,86P) ⊂ AG(6;F,113P) 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(2130, 48, F2, 6, 61) (dual of [(48, 6), 158, 62]-NRT-code), using algebraic-geometric NRT-code AG(6;F,113P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(274, 21, F2, 6, 53) (dual of [(21, 6), 52, 54]-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(2258, 69, F2, 6, 114) (dual of [(69, 6), 156, 115]-NRT-code) [i]Strength Reduction for OOAs